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Which pair of numbers has the greatest common factor of 2?
2 and any even number.
Why is the gcf of two even numbers are always even?
All even numbers have two as a factor. That means that any set of even numbers will have at least a two as a common factor. Since 2 will be a part of the greatest common factor, it will have to be even.
The greatest common factor of two numbers is 479. One number is even and the other is odd. Neither is divisible by the other. What are the smallest numbers they could be?
2 AND 3
Why even divided by odd equal even?
Odd numbers do NOT have a factor of 2. When an Even number is divided by an Odd number with no remainder, the prime factors of the divisor cancel out the prime factors of the dividend, but there will be no prime 2 to cancel the prime factor of 2 in the dividend leaving the the quotient to have a factor of 2, and so will be Even. --------------------------------------------------------- Alternatively, consider what happens when you multiply Odd and Even numbers: Odd × Odd = Odd Odd × Even = Even Even × Even = Even The result is Even ONLY if at least one of the numbers multiplied together is Even. Thus if you divide an Even number by an Odd number, the result must be Even. Also consider that Odd times Odd is Odd. Multiplication is the inverse of division, so if you have: dividend ÷ divisor = quotient then dividend = quotient × divisor Now, if the divisor is Odd and the quotient is Odd, the the Dividend MUST be Odd (since Odd × Odd = Odd). Thus if the Dividend is Even and the Divisor is Odd, then the Quotient must be Even.
Can a fraction with an even numerator and denominator be in the simplest form?
Yes, a fraction with an even numerator and denominator can be in simplest form if the numerator and denominator have a greatest common divisor (GCD) of 1. If the GCD is greater than 1, the fraction can be simplified further. For example, the fraction 4/6 has an even numerator and denominator, but it can be simplified to 2/3 since the GCD of 4 and 6 is 2.
What is the greatest common divisor of 40 and 28?
even divisor 4
What is the Greatest Common Divisor of any two even consecutive numbers?
The GCF is 2.
Can an odd and an even number have a greatest common divisor?
Yes.
What pair Of numbers have a greatest common factor of 2?
The pair of numbers that have a greatest common factor of 2 are any two even numbers. This is because the greatest common factor of two numbers is the largest number that divides both numbers evenly. Since 2 is the only even prime number, any two even numbers will have 2 as a common factor.
Can two even numbers have a greatest common multiple of 1?
The greatest common multiple of any set of numbers is infinite. The greatest common multiple of any set of numbers will never be one.
What numbers have a greatest common factor of 2?
Consecutive even numbers.
What numbers have 2 as their greatest common factor?
Consecutive even numbers.
What is an explanation to 2 as a factor to all even numbers?
2 is a divisor of all even numbers, and a divisor is a factor of all numbers which can be divided by it.
What kind of numbers have a greatest common factor of 2?
Consecutive even numbers
Can two odd numbers have an even greatest common factor?
No. Odd numbers don't have even factors.
Is the greatest common factor of any even numbers always even?
Yes.
Is the greatest common factor of an odd number in even numbers always even?
No.
