Greatest Common Factor of 6764/47, 1157/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6764/47, 1157/645

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 6764/47,1157/645

Given fractions are 6764/47,1157/645

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 6764,1157

Greatest Common Factor of Numerators i.e. GCF of 6764,1157 is 89 .

LCM of Denominators means LCM of 47,645 as per the given fractions.

LCM of 47,645 is 30315 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6764,1157

GCF of Fractions 6764/47,1157/645 is 89/30315

89 6764, 1157
76, 13

∴ So the GCF of the given numbers is 89 = 89

Greatest Common Factor of 6764,1157 By Matching Biggest Common Factor Method

Greatest Common Factor of 6764,1157 By Matching Biggest Common Factor Method

Factors of 6764

List of positive integer factors of 6764 that divides 6764 without a remainder.

1,2,4,19,38,76,89,178,356,1691,3382,6764

Factors of 1157

List of positive integer factors of 1157 that divides 1157 without a remainder.

1,13,89,1157

Greatest Common Factor

We found the factors 6764,1157 . The biggest common factor number is the GCF number.
So the greatest common factor 6764,1157 is 89.

Lets's calculate LCM of 47,645

Given numbers has no common factors except 1. So, there LCM is their product i.e 30315

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 89/30315

Therefore, the GCF of Fractions 6764/47,1157/645 is 89/30315

Least Common Multiple of 47,645 with GCF Formula

Least Common Multiple of 47,645 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 47,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,645) = 1

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

GCF(47,645) x common factors =1 x 1 = 1

LCM(47,645) = ( 47 × 645 ) / 1

LCM(47,645) = 30315 / 1

LCM(47,645) = 30315


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 6764/47, 1157/645

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 6764/47, 1157/645?

Answer: GCF of Numerators as per given numbers 6764/47, 1157/645 is

GCF of Numerators i.e. for 6764,1157 is 89

LCM of denominators i.e. for 47,645 is 30315.

Thus, GCF of Fractions is 89/30315.Finally, GCF of Fractions for 6764/47, 1157/645 is 89/30315.