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# What is the gross common factor of two numbers when one number is a multiple of the other?

Updated: 4/28/2022 Wiki User

7y ago

When one number is a multiple of the other, the greatest common factor of the two is the smaller number. Wiki User

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Q: What is the gross common factor of two numbers when one number is a multiple of the other?
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### When a number is a multiple of another the GCF of the numbers is the greatest common factor?

The GCF of the numbers is the greatest common factor no matter what their relationship is. When one number is a multiple of another number, the GCF is the smaller number.

### What is the lowest common multiple of 30 and the greatest common factor of 3?

There is no answer. There cannot be a lowest common multiple of a single number, such as 30, because "common multiple" means a multiple that two or more numbers have in common. Likewise, there cannot be a highest common factor of a single number, such as 3, because "common factor" means a factor that two or more numbers have in common.

### Does a factor mean the same as a highest common multiple?

No.When talking about factors and multiples the numbers are integers (whole numbers).A factor of a number means that the number is a multiple of the factor; the factor divides into the number without any remainder.There is no such thing as a Highest Common Multiple - it is always possible to find a higher common multiple (by adding the Lowest Common Multiple to the supposed highest common multiple).There is a Lowest Common Multiple (LCM) which is the smallest number which is a multiple of two or more numbers. It is also called the Least Common Multiple, or when working with fractions it can be referred to as the Least Common Denominator as the two or more numbers are the denominators of the fractions and equivalent fractions are being sought to be able to do an addition or subtraction.There is a Highest Common Factor (HCF) which is the largest number which divides into each of the two or more numbers without remainder. It is also called the Greatest Common Factor. If the numbers are relatively prime (or co-prime) their HCF is 1.

### What is the least common factor of two numbers when one number is a multiple of the other?

The least common factor of any set of numbers is 1.

### How are greatest common factor and least common multiple different?

The greatest common factor, or GCF, is the largest number that can go into a set of given numbers evenly. The least common multiple, or LCM, is the smallest number that a given set of numbers can go into evenly.

### What is the greatest common factor of two numbers when one number is multiple of the other?

The other number.

### When can the least common multiple of two numbers be one of those numbers?

When it is a factor of the larger number for example the least common multiple of 15 and 60 is 60 because 15 is a factor of 60 and 60 is factor of itself

No, the lesser.

### What is the least common factor of 16 24 32?

The least common factor of any sets of numbers is 1.The least common MULTIPLE, the smallest number into which all the numbers divide, of 16, 24 and 32 is 96The HIGHEST common factor, the largest number which divides into all the numbers, of 16, 24 and 32 is 8.There is no HIGHEST common MULTIPLE as whatever value is said to be it can be increased by adding their LOWEST common MULTIPLE to get an even higher common multiple.

### What are the least common multiple and the greatest common factor?

The least common multiple, or LCM, is the smallest number that two or more given numbers can divide into evenly with no remainder. The greatest common factor, or GCF, is the largest number that can divide into two or more given numbers evenly with no remainder. Factors go into numbers, numbers go into multiples.

### What is this number 5 is a common factor 100 is a common multiple neither number is a multiple of the other both are even what are the two numbers?

20 and 50 10 and 25

### What is a greatest common multiple?

There is no such number. The LEAST COMMON MULTIPLE (LCM) is the smallest number that is a multiple of both numbers (or all numbers in a set). It is used to make common denominators. The GREATEST COMMON FACTOR (GCF) is the largest number that is a factor of both numbers (or all numbers in a set). It is used to reduce fractions to simplest form.