Greatest Common Factor of 657/802, 881/961, 313/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 657/802, 881/961, 313/713

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 657/802,881/961,313/713

Given fractions are 657/802,881/961,313/713

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 657,881,313

Greatest Common Factor of Numerators i.e. GCF of 657,881,313 is 1 .

LCM of Denominators means LCM of 802,961,713 as per the given fractions.

LCM of 802,961,713 is 17726606 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 657,881,313

GCF of Fractions 657/802,881/961,313/713 is 1/17726606

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 657,881,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,881,313 By Matching Biggest Common Factor Method

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 657,881,313 . The biggest common factor number is the GCF number.
So the greatest common factor 657,881,313 is 1.

Lets's calculate LCM of 802,961,713

31 802, 961, 713
802, 31, 23

∴ So the LCM of the given numbers is 31 x 802 x 31 x 23 = 17726606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17726606

Therefore, the GCF of Fractions 657/802,881/961,313/713 is 1/17726606

Least Common Multiple of 802,961,713 with GCF Formula

Least Common Multiple of 802,961,713 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 802,961,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,961,713) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(802,961,713) x common factors =1 x 31 = 31

LCM(802,961,713) = ( 802 × 961 × 713 ) / 31

LCM(802,961,713) = 549524786 / 31

LCM(802,961,713) = 17726606


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 657/802, 881/961, 313/713

1. 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.

2. What is the GCF of Fractions for 657/802, 881/961, 313/713?

Answer: GCF of Numerators as per given numbers 657/802, 881/961, 313/713 is

GCF of Numerators i.e. for 657,881,313 is 1

LCM of denominators i.e. for 802,961,713 is 17726606.

Thus, GCF of Fractions is 1/17726606.Finally, GCF of Fractions for 657/802, 881/961, 313/713 is 1/17726606.