GCF of 2637/171, 9674/6491
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2637/171, 9674/6491 i.e 1/1109961 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2637/171, 9674/6491.
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 2637/171,9674/6491?
Given fractions are 2637/171,9674/6491
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 2637/171,9674/6491, numerators are 2637,9674
Denominators are 171,6491
The GCF of 2637,9674 is 1 .
LCM of 171,6491 is 1109961.
The greatest common factor of 2637/171,9674/6491 = [GCF of 2637,9674]/[LCM of 171,6491]= 1/1109961
Therefore, the GCF of 2637/171,9674/6491 is 1/1109961.
To find the highest common factor of 2637,9674, we have to find the factors of both numbers and list the highest common factor.
The factors of 2637 are 1, 3, 9, 293, 879, 2637
The factors of 9674 are 1, 2, 7, 14, 691, 1382, 4837, 9674
The HCF of 2637,9674 is 1.
Lets's calculate GCF of 2637,9674
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2637,9674 By Matching Biggest Common Factor Method
Now, list down the factors of 2637
:1,3,9,293,879,2637
Now, list down the factors of 9674
:1,2,7,14,691,1382,4837,9674
Greatest Common Factor
We found the factors 2637,9674 . The biggest common factor number is the GCF number.
So the greatest common factor 2637,9674 is 1.
Lets's calculate LCM of 171,6491
Given numbers has no common factors except 1. So, there LCM is their product i.e 1109961
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1109961
Therefore, the GCF of Fractions 2637/171,9674/6491 is 1/1109961
Least Common Multiple of 171,6491 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 171,6491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,6491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,6491) x common factors =1 x 1 = 1
LCM(171,6491) = ( 171 × 6491 ) / 1
LCM(171,6491) = 1109961 / 1
LCM(171,6491) = 1109961
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2637/171, 9674/6491
1. What is the HCF of 2637,9674?
The HCF of 2637,9674 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 2637/171, 9674/6491?
Answer: GCF of Numerators as per given numbers 2637/171, 9674/6491 is
GCF of Numerators i.e. for 2637,9674 is 1
LCM of denominators i.e. for 171,6491 is 1109961.
Thus, GCF of Fractions is 1/1109961.Finally, GCF of Fractions for 2637/171, 9674/6491 is 1/1109961.