GCF of 3976/717, 3457/5702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3976/717, 3457/5702 i.e 1/4088334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3976/717, 3457/5702.
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 3976/717,3457/5702?
Given fractions are 3976/717,3457/5702
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 3976/717,3457/5702, numerators are 3976,3457
Denominators are 717,5702
The GCF of 3976,3457 is 1 .
LCM of 717,5702 is 4088334.
The greatest common factor of 3976/717,3457/5702 = [GCF of 3976,3457]/[LCM of 717,5702]= 1/4088334
Therefore, the GCF of 3976/717,3457/5702 is 1/4088334.
To find the highest common factor of 3976,3457, we have to find the factors of both numbers and list the highest common factor.
The factors of 3976 are 1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988, 3976
The factors of 3457 are 1, 3457
The HCF of 3976,3457 is 1.
Lets's calculate GCF of 3976,3457
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3976,3457 By Matching Biggest Common Factor Method
Now, list down the factors of 3976
:1,2,4,7,8,14,28,56,71,142,284,497,568,994,1988,3976
Now, list down the factors of 3457
:1,3457
Greatest Common Factor
We found the factors 3976,3457 . The biggest common factor number is the GCF number.
So the greatest common factor 3976,3457 is 1.
Lets's calculate LCM of 717,5702
Given numbers has no common factors except 1. So, there LCM is their product i.e 4088334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4088334
Therefore, the GCF of Fractions 3976/717,3457/5702 is 1/4088334
Least Common Multiple of 717,5702 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 717,5702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,5702) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(717,5702) x common factors =1 x 1 = 1
LCM(717,5702) = ( 717 × 5702 ) / 1
LCM(717,5702) = 4088334 / 1
LCM(717,5702) = 4088334
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FAQs on GCF of Fractions of 3976/717, 3457/5702
1. What is the HCF of 3976,3457?
The HCF of 3976,3457 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 3976/717, 3457/5702?
Answer: GCF of Numerators as per given numbers 3976/717, 3457/5702 is
GCF of Numerators i.e. for 3976,3457 is 1
LCM of denominators i.e. for 717,5702 is 4088334.
Thus, GCF of Fractions is 1/4088334.Finally, GCF of Fractions for 3976/717, 3457/5702 is 1/4088334.