Greatest Common Factor of 7241/642, 2232/1225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7241/642, 2232/1225

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 7241/642,2232/1225

Given fractions are 7241/642,2232/1225

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 7241,2232

Greatest Common Factor of Numerators i.e. GCF of 7241,2232 is 1 .

LCM of Denominators means LCM of 642,1225 as per the given fractions.

LCM of 642,1225 is 786450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7241,2232

GCF of Fractions 7241/642,2232/1225 is 1/786450

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

Greatest Common Factor of 7241,2232 By Matching Biggest Common Factor Method

Greatest Common Factor of 7241,2232 By Matching Biggest Common Factor Method

Factors of 7241

List of positive integer factors of 7241 that divides 7241 without a remainder.

1,13,557,7241

Factors of 2232

List of positive integer factors of 2232 that divides 2232 without a remainder.

1,2,3,4,6,8,9,12,18,24,31,36,62,72,93,124,186,248,279,372,558,744,1116,2232

Greatest Common Factor

We found the factors 7241,2232 . The biggest common factor number is the GCF number.
So the greatest common factor 7241,2232 is 1.

Lets's calculate LCM of 642,1225

Given numbers has no common factors except 1. So, there LCM is their product i.e 786450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/786450

Therefore, the GCF of Fractions 7241/642,2232/1225 is 1/786450

Least Common Multiple of 642,1225 with GCF Formula

Least Common Multiple of 642,1225 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 642,1225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,1225) = 1

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

GCF(642,1225) x common factors =1 x 1 = 1

LCM(642,1225) = ( 642 × 1225 ) / 1

LCM(642,1225) = 786450 / 1

LCM(642,1225) = 786450


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 7241/642, 2232/1225

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 7241/642, 2232/1225?

Answer: GCF of Numerators as per given numbers 7241/642, 2232/1225 is

GCF of Numerators i.e. for 7241,2232 is 1

LCM of denominators i.e. for 642,1225 is 786450.

Thus, GCF of Fractions is 1/786450.Finally, GCF of Fractions for 7241/642, 2232/1225 is 1/786450.