Greatest Common Factor of 1142/625, 1347/6946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1142/625, 1347/6946

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 1142/625,1347/6946

Given fractions are 1142/625,1347/6946

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 1142,1347

Greatest Common Factor of Numerators i.e. GCF of 1142,1347 is 1 .

LCM of Denominators means LCM of 625,6946 as per the given fractions.

LCM of 625,6946 is 4341250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1142,1347

GCF of Fractions 1142/625,1347/6946 is 1/4341250

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

Greatest Common Factor of 1142,1347 By Matching Biggest Common Factor Method

Greatest Common Factor of 1142,1347 By Matching Biggest Common Factor Method

Factors of 1142

List of positive integer factors of 1142 that divides 1142 without a remainder.

1,2,571,1142

Factors of 1347

List of positive integer factors of 1347 that divides 1347 without a remainder.

1,3,449,1347

Greatest Common Factor

We found the factors 1142,1347 . The biggest common factor number is the GCF number.
So the greatest common factor 1142,1347 is 1.

Lets's calculate LCM of 625,6946

Given numbers has no common factors except 1. So, there LCM is their product i.e 4341250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4341250

Therefore, the GCF of Fractions 1142/625,1347/6946 is 1/4341250

Least Common Multiple of 625,6946 with GCF Formula

Least Common Multiple of 625,6946 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 625,6946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,6946) = 1

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

GCF(625,6946) x common factors =1 x 1 = 1

LCM(625,6946) = ( 625 × 6946 ) / 1

LCM(625,6946) = 4341250 / 1

LCM(625,6946) = 4341250


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 1142/625, 1347/6946

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 1142/625, 1347/6946?

Answer: GCF of Numerators as per given numbers 1142/625, 1347/6946 is

GCF of Numerators i.e. for 1142,1347 is 1

LCM of denominators i.e. for 625,6946 is 4341250.

Thus, GCF of Fractions is 1/4341250.Finally, GCF of Fractions for 1142/625, 1347/6946 is 1/4341250.