Greatest Common Factor of 95/42, 640/45, 762/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/42, 640/45, 762/930

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 95/42,640/45,762/930

Given fractions are 95/42,640/45,762/930

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 95,640,762

Greatest Common Factor of Numerators i.e. GCF of 95,640,762 is 1 .

LCM of Denominators means LCM of 42,45,930 as per the given fractions.

LCM of 42,45,930 is 19530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,640,762

GCF of Fractions 95/42,640/45,762/930 is 1/19530

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

Greatest Common Factor of 95,640,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,640,762 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 95,640,762 . The biggest common factor number is the GCF number.
So the greatest common factor 95,640,762 is 1.

Lets's calculate LCM of 42,45,930

2 42, 45, 930
3 21, 45, 465
5 7, 15, 155
7, 3, 31

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 3 x 31 = 19530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19530

Therefore, the GCF of Fractions 95/42,640/45,762/930 is 1/19530

Least Common Multiple of 42,45,930 with GCF Formula

Least Common Multiple of 42,45,930 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 42,45,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,45,930) = 3

common factors(in case of two or more numbers have common factors) = 30

GCF(42,45,930) x common factors =3 x 30 = 90

LCM(42,45,930) = ( 42 × 45 × 930 ) / 90

LCM(42,45,930) = 1757700 / 90

LCM(42,45,930) = 19530


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 95/42, 640/45, 762/930

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 95/42, 640/45, 762/930?

Answer: GCF of Numerators as per given numbers 95/42, 640/45, 762/930 is

GCF of Numerators i.e. for 95,640,762 is 1

LCM of denominators i.e. for 42,45,930 is 19530.

Thus, GCF of Fractions is 1/19530.Finally, GCF of Fractions for 95/42, 640/45, 762/930 is 1/19530.