Greatest Common Factor of 1/76, 56/44, 67/927, 964/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/76, 56/44, 67/927, 964/762

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 1/76,56/44,67/927,964/762

Given fractions are 1/76,56/44,67/927,964/762

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 1,56,67,964

Greatest Common Factor of Numerators i.e. GCF of 1,56,67,964 is 1 .

LCM of Denominators means LCM of 76,44,927,762 as per the given fractions.

LCM of 76,44,927,762 is 98421444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,56,67,964

GCF of Fractions 1/76,56/44,67/927,964/762 is 1/98421444

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

Greatest Common Factor of 1,56,67,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,56,67,964 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

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 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 1,56,67,964 . The biggest common factor number is the GCF number.
So the greatest common factor 1,56,67,964 is 1.

Lets's calculate LCM of 76,44,927,762

2 76, 44, 927, 762
2 38, 22, 927, 381
3 19, 11, 927, 381
19, 11, 309, 127

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 11 x 309 x 127 = 98421444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98421444

Therefore, the GCF of Fractions 1/76,56/44,67/927,964/762 is 1/98421444

Least Common Multiple of 76,44,927,762 with GCF Formula

Least Common Multiple of 76,44,927,762 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 76,44,927,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,44,927,762) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(76,44,927,762) x common factors =1 x 24 = 24

LCM(76,44,927,762) = ( 76 × 44 × 927 × 762 ) / 24

LCM(76,44,927,762) = 2362114656 / 24

LCM(76,44,927,762) = 98421444


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 1/76, 56/44, 67/927, 964/762

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 1/76, 56/44, 67/927, 964/762?

Answer: GCF of Numerators as per given numbers 1/76, 56/44, 67/927, 964/762 is

GCF of Numerators i.e. for 1,56,67,964 is 1

LCM of denominators i.e. for 76,44,927,762 is 98421444.

Thus, GCF of Fractions is 1/98421444.Finally, GCF of Fractions for 1/76, 56/44, 67/927, 964/762 is 1/98421444.