Greatest Common Factor of 822/776, 657/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 822/776, 657/508

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 822/776,657/508

Given fractions are 822/776,657/508

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 822,657

Greatest Common Factor of Numerators i.e. GCF of 822,657 is 3 .

LCM of Denominators means LCM of 776,508 as per the given fractions.

LCM of 776,508 is 98552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 822,657

GCF of Fractions 822/776,657/508 is 3/98552

3 822, 657
274, 219

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 822,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,657 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 657

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

1,3,9,73,219,657

Greatest Common Factor

We found the factors 822,657 . The biggest common factor number is the GCF number.
So the greatest common factor 822,657 is 3.

Lets's calculate LCM of 776,508

2 776, 508
2 388, 254
194, 127

∴ So the LCM of the given numbers is 2 x 2 x 194 x 127 = 98552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/98552

Therefore, the GCF of Fractions 822/776,657/508 is 3/98552

Least Common Multiple of 776,508 with GCF Formula

Least Common Multiple of 776,508 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 776,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(776,508) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(776,508) x common factors =4 x 1 = 4

LCM(776,508) = ( 776 × 508 ) / 4

LCM(776,508) = 394208 / 4

LCM(776,508) = 98552


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 822/776, 657/508

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 822/776, 657/508?

Answer: GCF of Numerators as per given numbers 822/776, 657/508 is

GCF of Numerators i.e. for 822,657 is 3

LCM of denominators i.e. for 776,508 is 98552.

Thus, GCF of Fractions is 3/98552.Finally, GCF of Fractions for 822/776, 657/508 is 3/98552.