Greatest Common Factor of 1014/877, 7722/5390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1014/877, 7722/5390

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 1014/877,7722/5390

Given fractions are 1014/877,7722/5390

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 1014,7722

Greatest Common Factor of Numerators i.e. GCF of 1014,7722 is 78 .

LCM of Denominators means LCM of 877,5390 as per the given fractions.

LCM of 877,5390 is 4727030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1014,7722

GCF of Fractions 1014/877,7722/5390 is 78/4727030

2 1014, 7722
3 507, 3861
13 169, 1287
13, 99

∴ So the GCF of the given numbers is 2 x 3 x 13 = 78

Greatest Common Factor of 1014,7722 By Matching Biggest Common Factor Method

Greatest Common Factor of 1014,7722 By Matching Biggest Common Factor Method

Factors of 1014

List of positive integer factors of 1014 that divides 1014 without a remainder.

1,2,3,6,13,26,39,78,169,338,507,1014

Factors of 7722

List of positive integer factors of 7722 that divides 7722 without a remainder.

1,2,3,6,9,11,13,18,22,26,27,33,39,54,66,78,99,117,143,198,234,286,297,351,429,594,702,858,1287,2574,3861,7722

Greatest Common Factor

We found the factors 1014,7722 . The biggest common factor number is the GCF number.
So the greatest common factor 1014,7722 is 78.

Lets's calculate LCM of 877,5390

Given numbers has no common factors except 1. So, there LCM is their product i.e 4727030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 78/4727030

Therefore, the GCF of Fractions 1014/877,7722/5390 is 78/4727030

Least Common Multiple of 877,5390 with GCF Formula

Least Common Multiple of 877,5390 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 877,5390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(877,5390) = 1

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

GCF(877,5390) x common factors =1 x 1 = 1

LCM(877,5390) = ( 877 × 5390 ) / 1

LCM(877,5390) = 4727030 / 1

LCM(877,5390) = 4727030


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 1014/877, 7722/5390

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 1014/877, 7722/5390?

Answer: GCF of Numerators as per given numbers 1014/877, 7722/5390 is

GCF of Numerators i.e. for 1014,7722 is 78

LCM of denominators i.e. for 877,5390 is 4727030.

Thus, GCF of Fractions is 78/4727030.Finally, GCF of Fractions for 1014/877, 7722/5390 is 78/4727030.