Greatest Common Factor of 7021/754, 2314/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7021/754, 2314/224

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 7021/754,2314/224

Given fractions are 7021/754,2314/224

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 7021,2314

Greatest Common Factor of Numerators i.e. GCF of 7021,2314 is 1 .

LCM of Denominators means LCM of 754,224 as per the given fractions.

LCM of 754,224 is 84448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7021,2314

GCF of Fractions 7021/754,2314/224 is 1/84448

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

Greatest Common Factor of 7021,2314 By Matching Biggest Common Factor Method

Greatest Common Factor of 7021,2314 By Matching Biggest Common Factor Method

Factors of 7021

List of positive integer factors of 7021 that divides 7021 without a remainder.

1,7,17,59,119,413,1003,7021

Factors of 2314

List of positive integer factors of 2314 that divides 2314 without a remainder.

1,2,13,26,89,178,1157,2314

Greatest Common Factor

We found the factors 7021,2314 . The biggest common factor number is the GCF number.
So the greatest common factor 7021,2314 is 1.

Lets's calculate LCM of 754,224

2 754, 224
377, 112

∴ So the LCM of the given numbers is 2 x 377 x 112 = 84448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84448

Therefore, the GCF of Fractions 7021/754,2314/224 is 1/84448

Least Common Multiple of 754,224 with GCF Formula

Least Common Multiple of 754,224 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 754,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,224) = 2

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

GCF(754,224) x common factors =2 x 1 = 2

LCM(754,224) = ( 754 × 224 ) / 2

LCM(754,224) = 168896 / 2

LCM(754,224) = 84448


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 7021/754, 2314/224

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 7021/754, 2314/224?

Answer: GCF of Numerators as per given numbers 7021/754, 2314/224 is

GCF of Numerators i.e. for 7021,2314 is 1

LCM of denominators i.e. for 754,224 is 84448.

Thus, GCF of Fractions is 1/84448.Finally, GCF of Fractions for 7021/754, 2314/224 is 1/84448.