Greatest Common Factor of 70/76, 56/34, 468/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/76, 56/34, 468/296

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 70/76,56/34,468/296

Given fractions are 70/76,56/34,468/296

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 70,56,468

Greatest Common Factor of Numerators i.e. GCF of 70,56,468 is 2 .

LCM of Denominators means LCM of 76,34,296 as per the given fractions.

LCM of 76,34,296 is 95608 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,56,468

GCF of Fractions 70/76,56/34,468/296 is 2/95608

2 70, 56, 468
35, 28, 234

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 70,56,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,56,468 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 70,56,468 . The biggest common factor number is the GCF number.
So the greatest common factor 70,56,468 is 2.

Lets's calculate LCM of 76,34,296

2 76, 34, 296
2 38, 17, 148
19, 17, 74

∴ So the LCM of the given numbers is 2 x 2 x 19 x 17 x 74 = 95608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/95608

Therefore, the GCF of Fractions 70/76,56/34,468/296 is 2/95608

Least Common Multiple of 76,34,296 with GCF Formula

Least Common Multiple of 76,34,296 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 76,34,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,34,296) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(76,34,296) x common factors =2 x 4 = 8

LCM(76,34,296) = ( 76 × 34 × 296 ) / 8

LCM(76,34,296) = 764864 / 8

LCM(76,34,296) = 95608


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 70/76, 56/34, 468/296

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 70/76, 56/34, 468/296?

Answer: GCF of Numerators as per given numbers 70/76, 56/34, 468/296 is

GCF of Numerators i.e. for 70,56,468 is 2

LCM of denominators i.e. for 76,34,296 is 95608.

Thus, GCF of Fractions is 2/95608.Finally, GCF of Fractions for 70/76, 56/34, 468/296 is 2/95608.