Greatest Common Factor of 7450/427, 1390/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7450/427, 1390/158

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 7450/427,1390/158

Given fractions are 7450/427,1390/158

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 7450,1390

Greatest Common Factor of Numerators i.e. GCF of 7450,1390 is 10 .

LCM of Denominators means LCM of 427,158 as per the given fractions.

LCM of 427,158 is 67466 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7450,1390

GCF of Fractions 7450/427,1390/158 is 10/67466

2 7450, 1390
5 3725, 695
745, 139

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 7450,1390 By Matching Biggest Common Factor Method

Greatest Common Factor of 7450,1390 By Matching Biggest Common Factor Method

Factors of 7450

List of positive integer factors of 7450 that divides 7450 without a remainder.

1,2,5,10,25,50,149,298,745,1490,3725,7450

Factors of 1390

List of positive integer factors of 1390 that divides 1390 without a remainder.

1,2,5,10,139,278,695,1390

Greatest Common Factor

We found the factors 7450,1390 . The biggest common factor number is the GCF number.
So the greatest common factor 7450,1390 is 10.

Lets's calculate LCM of 427,158

Given numbers has no common factors except 1. So, there LCM is their product i.e 67466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/67466

Therefore, the GCF of Fractions 7450/427,1390/158 is 10/67466

Least Common Multiple of 427,158 with GCF Formula

Least Common Multiple of 427,158 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 427,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,158) = 1

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

GCF(427,158) x common factors =1 x 1 = 1

LCM(427,158) = ( 427 × 158 ) / 1

LCM(427,158) = 67466 / 1

LCM(427,158) = 67466


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 7450/427, 1390/158

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 7450/427, 1390/158?

Answer: GCF of Numerators as per given numbers 7450/427, 1390/158 is

GCF of Numerators i.e. for 7450,1390 is 10

LCM of denominators i.e. for 427,158 is 67466.

Thus, GCF of Fractions is 10/67466.Finally, GCF of Fractions for 7450/427, 1390/158 is 10/67466.