Greatest Common Factor of 77/89, 51/69, 120/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/89, 51/69, 120/123

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 77/89,51/69,120/123

Given fractions are 77/89,51/69,120/123

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 77,51,120

Greatest Common Factor of Numerators i.e. GCF of 77,51,120 is 1 .

LCM of Denominators means LCM of 89,69,123 as per the given fractions.

LCM of 89,69,123 is 251781 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,51,120

GCF of Fractions 77/89,51/69,120/123 is 1/251781

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

Greatest Common Factor of 77,51,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,51,120 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 77,51,120 . The biggest common factor number is the GCF number.
So the greatest common factor 77,51,120 is 1.

Lets's calculate LCM of 89,69,123

3 89, 69, 123
89, 23, 41

∴ So the LCM of the given numbers is 3 x 89 x 23 x 41 = 251781

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251781

Therefore, the GCF of Fractions 77/89,51/69,120/123 is 1/251781

Least Common Multiple of 89,69,123 with GCF Formula

Least Common Multiple of 89,69,123 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 89,69,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,69,123) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(89,69,123) x common factors =1 x 3 = 3

LCM(89,69,123) = ( 89 × 69 × 123 ) / 3

LCM(89,69,123) = 755343 / 3

LCM(89,69,123) = 251781


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 77/89, 51/69, 120/123

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 77/89, 51/69, 120/123?

Answer: GCF of Numerators as per given numbers 77/89, 51/69, 120/123 is

GCF of Numerators i.e. for 77,51,120 is 1

LCM of denominators i.e. for 89,69,123 is 251781.

Thus, GCF of Fractions is 1/251781.Finally, GCF of Fractions for 77/89, 51/69, 120/123 is 1/251781.