0
Oh honey, no. The Greatest Common Factor (GCF) of two numbers is the largest number that divides both of them evenly. It's not just the lesser of the two numbers, it's the biggest number that can play nice with both of them. So, don't sell the GCF short, it's got a big job to do.
No, the Greatest Common Factor (GCF) of two numbers is not necessarily equal to the lesser of the two numbers. The GCF is the largest positive integer that divides both numbers without leaving a remainder. It is possible for the GCF to be equal to the lesser number if the lesser number is a factor of the greater number, but this is not always the case.
Only if that number is a factor of the other one.
Add your answer:
Earn +20 pts
How Given any two numbers which is greater the LCM of the numbers or. The GCF of the numbers why?
The LCM will never be less than the GCF. To be a multiple of both numbers, the LCM will have to be equal to or greater than the larger number. To be a factor of both numbers, the GCF will have to be equal to or less than the smaller number. The only problem comes when you're comparing a number to itself. The LCM of 10 and 10 is 10. The GCF of 10 and 10 is 10.
How can you find the gcf of two numbers without knowing the factors?
If one of the numbers is a multiple of the other, the smaller number is the GCF. If the two numbers are prime numbers, the GCF is 1. If the numbers are consecutive, the GCF is 1. If the numbers are consecutive even numbers, the GCF is 2.
How do you find a pair of numbers when the GCF is given?
To find a pair of numbers with a given GCF, take the GCF number and double it. The pair of numbers is the GCF, and two times the GCF. For instance, two numbers with a GCF of 3 are 3 and 6.
Can two numbers have the same greatest common factor?
Two numbers have a GCF. Two sets of two numbers may have the same GCF.
How do you check lcm answer?
One way to check: The product of the original two numbers is equal to the product of their GCF and LCM. If you divide that product by their GCF, you will get the LCM.
The gcf if a pair of numbers is always equal to or less than the lesser of the two numbers true or false?
False
When is the GCF of two numbers the same as the lesser of the two numbers?
When that number is a factor of the greater one.
Can the LCM and the GCF of two numbers be equal?
only if they are equal
While doing GCF what two numbers equal two?
Any consecutive even numbers have a GCF of 2.
What is the product of the GCF and LCM of two numbers?
The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.
How do you find the LCM using GCF?
The GCF of two numbers multiplied by their LCM will equal the product of the original numbers. If you know the GCF, divide it into the product of the two. The result will be the LCM. If the GCF of two numbers is 1, the LCM is their product.
What is the relationship does the greatest common factor and the LCM have?
The product of the GCF and LCM is equal to the product of the original two numbers.
What is the relation between HCF and LCM?
Since the product of two numbers is equal to the product of their GCF and LCM, the GCF of two numbers is equal to their product divided by their LCM and their LCM is equal to their product divided by their GCF.
When is the GCF of two or more numbers equal to one of the numbers?
When one of the numbers is a factor of the other.
Are the GCF and LCM of two numbers always equal?
Hardly ever.
How do you find two numbers if HCF and LCM are known?
The product of the GCF and the LCM of two numbers is equal to the product of the original two numbers. Multiply the GCF and the LCM. The original two numbers will be another factor pair of that total. Find the factor pair that has that GCF and LCM.
When a number is a multiple of another the greatest common factor of the numbers is the greater of the numbers?
If the GCF of two numbers is 1, their LCM will be their product. Such numbers are called relatively prime, or co-prime. Any two prime numbers (like 3 and 5) will be that way, but the numbers don't have to be prime (like 4 and 9).
