Greatest Common Factor of 7369/375, 3531/4222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7369/375, 3531/4222

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 7369/375,3531/4222

Given fractions are 7369/375,3531/4222

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 7369,3531

Greatest Common Factor of Numerators i.e. GCF of 7369,3531 is 1 .

LCM of Denominators means LCM of 375,4222 as per the given fractions.

LCM of 375,4222 is 1583250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7369,3531

GCF of Fractions 7369/375,3531/4222 is 1/1583250

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

Greatest Common Factor of 7369,3531 By Matching Biggest Common Factor Method

Greatest Common Factor of 7369,3531 By Matching Biggest Common Factor Method

Factors of 7369

List of positive integer factors of 7369 that divides 7369 without a remainder.

1,7369

Factors of 3531

List of positive integer factors of 3531 that divides 3531 without a remainder.

1,3,11,33,107,321,1177,3531

Greatest Common Factor

We found the factors 7369,3531 . The biggest common factor number is the GCF number.
So the greatest common factor 7369,3531 is 1.

Lets's calculate LCM of 375,4222

Given numbers has no common factors except 1. So, there LCM is their product i.e 1583250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1583250

Therefore, the GCF of Fractions 7369/375,3531/4222 is 1/1583250

Least Common Multiple of 375,4222 with GCF Formula

Least Common Multiple of 375,4222 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 375,4222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,4222) = 1

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

GCF(375,4222) x common factors =1 x 1 = 1

LCM(375,4222) = ( 375 × 4222 ) / 1

LCM(375,4222) = 1583250 / 1

LCM(375,4222) = 1583250


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 7369/375, 3531/4222

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 7369/375, 3531/4222?

Answer: GCF of Numerators as per given numbers 7369/375, 3531/4222 is

GCF of Numerators i.e. for 7369,3531 is 1

LCM of denominators i.e. for 375,4222 is 1583250.

Thus, GCF of Fractions is 1/1583250.Finally, GCF of Fractions for 7369/375, 3531/4222 is 1/1583250.