Greatest Common Factor of 7674/441, 5795/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7674/441, 5795/224

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 7674/441,5795/224

Given fractions are 7674/441,5795/224

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 7674,5795

Greatest Common Factor of Numerators i.e. GCF of 7674,5795 is 1 .

LCM of Denominators means LCM of 441,224 as per the given fractions.

LCM of 441,224 is 14112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7674,5795

GCF of Fractions 7674/441,5795/224 is 1/14112

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

Greatest Common Factor of 7674,5795 By Matching Biggest Common Factor Method

Greatest Common Factor of 7674,5795 By Matching Biggest Common Factor Method

Factors of 7674

List of positive integer factors of 7674 that divides 7674 without a remainder.

1,2,3,6,1279,2558,3837,7674

Factors of 5795

List of positive integer factors of 5795 that divides 5795 without a remainder.

1,5,19,61,95,305,1159,5795

Greatest Common Factor

We found the factors 7674,5795 . The biggest common factor number is the GCF number.
So the greatest common factor 7674,5795 is 1.

Lets's calculate LCM of 441,224

7 441, 224
63, 32

∴ So the LCM of the given numbers is 7 x 63 x 32 = 14112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14112

Therefore, the GCF of Fractions 7674/441,5795/224 is 1/14112

Least Common Multiple of 441,224 with GCF Formula

Least Common Multiple of 441,224 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 441,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(441,224) = 7

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

GCF(441,224) x common factors =7 x 1 = 7

LCM(441,224) = ( 441 × 224 ) / 7

LCM(441,224) = 98784 / 7

LCM(441,224) = 14112


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 7674/441, 5795/224

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 7674/441, 5795/224?

Answer: GCF of Numerators as per given numbers 7674/441, 5795/224 is

GCF of Numerators i.e. for 7674,5795 is 1

LCM of denominators i.e. for 441,224 is 14112.

Thus, GCF of Fractions is 1/14112.Finally, GCF of Fractions for 7674/441, 5795/224 is 1/14112.