GCF of 6607/617, 6712/8584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6607/617, 6712/8584 i.e 1/5296328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6607/617, 6712/8584.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6607/617,6712/8584?
Given fractions are 6607/617,6712/8584
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6607/617,6712/8584, numerators are 6607,6712
Denominators are 617,8584
The GCF of 6607,6712 is 1 .
LCM of 617,8584 is 5296328.
The greatest common factor of 6607/617,6712/8584 = [GCF of 6607,6712]/[LCM of 617,8584]= 1/5296328
Therefore, the GCF of 6607/617,6712/8584 is 1/5296328.
To find the highest common factor of 6607,6712, we have to find the factors of both numbers and list the highest common factor.
The factors of 6607 are 1, 6607
The factors of 6712 are 1, 2, 4, 8, 839, 1678, 3356, 6712
The HCF of 6607,6712 is 1.
Lets's calculate GCF of 6607,6712
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6607,6712 By Matching Biggest Common Factor Method
Now, list down the factors of 6607
:1,6607
Now, list down the factors of 6712
:1,2,4,8,839,1678,3356,6712
Greatest Common Factor
We found the factors 6607,6712 . The biggest common factor number is the GCF number.
So the greatest common factor 6607,6712 is 1.
Lets's calculate LCM of 617,8584
Given numbers has no common factors except 1. So, there LCM is their product i.e 5296328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5296328
Therefore, the GCF of Fractions 6607/617,6712/8584 is 1/5296328
Least Common Multiple of 617,8584 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 617,8584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,8584) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,8584) x common factors =1 x 1 = 1
LCM(617,8584) = ( 617 × 8584 ) / 1
LCM(617,8584) = 5296328 / 1
LCM(617,8584) = 5296328
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FAQs on GCF of Fractions of 6607/617, 6712/8584
1. What is the HCF of 6607,6712?
The HCF of 6607,6712 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6607/617, 6712/8584?
Answer: GCF of Numerators as per given numbers 6607/617, 6712/8584 is
GCF of Numerators i.e. for 6607,6712 is 1
LCM of denominators i.e. for 617,8584 is 5296328.
Thus, GCF of Fractions is 1/5296328.Finally, GCF of Fractions for 6607/617, 6712/8584 is 1/5296328.