Greatest Common Factor of 1502/754, 4457/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1502/754, 4457/112

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 1502/754,4457/112

Given fractions are 1502/754,4457/112

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 1502,4457

Greatest Common Factor of Numerators i.e. GCF of 1502,4457 is 1 .

LCM of Denominators means LCM of 754,112 as per the given fractions.

LCM of 754,112 is 42224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1502,4457

GCF of Fractions 1502/754,4457/112 is 1/42224

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

Greatest Common Factor of 1502,4457 By Matching Biggest Common Factor Method

Greatest Common Factor of 1502,4457 By Matching Biggest Common Factor Method

Factors of 1502

List of positive integer factors of 1502 that divides 1502 without a remainder.

1,2,751,1502

Factors of 4457

List of positive integer factors of 4457 that divides 4457 without a remainder.

1,4457

Greatest Common Factor

We found the factors 1502,4457 . The biggest common factor number is the GCF number.
So the greatest common factor 1502,4457 is 1.

Lets's calculate LCM of 754,112

2 754, 112
377, 56

∴ So the LCM of the given numbers is 2 x 377 x 56 = 42224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42224

Therefore, the GCF of Fractions 1502/754,4457/112 is 1/42224

Least Common Multiple of 754,112 with GCF Formula

Least Common Multiple of 754,112 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 754,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,112) = 2

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

GCF(754,112) x common factors =2 x 1 = 2

LCM(754,112) = ( 754 × 112 ) / 2

LCM(754,112) = 84448 / 2

LCM(754,112) = 42224


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 1502/754, 4457/112

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 1502/754, 4457/112?

Answer: GCF of Numerators as per given numbers 1502/754, 4457/112 is

GCF of Numerators i.e. for 1502,4457 is 1

LCM of denominators i.e. for 754,112 is 42224.

Thus, GCF of Fractions is 1/42224.Finally, GCF of Fractions for 1502/754, 4457/112 is 1/42224.