Greatest Common Factor of 7437/34, 7975/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7437/34, 7975/953

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 7437/34,7975/953

Given fractions are 7437/34,7975/953

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 7437,7975

Greatest Common Factor of Numerators i.e. GCF of 7437,7975 is 1 .

LCM of Denominators means LCM of 34,953 as per the given fractions.

LCM of 34,953 is 32402 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7437,7975

GCF of Fractions 7437/34,7975/953 is 1/32402

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

Greatest Common Factor of 7437,7975 By Matching Biggest Common Factor Method

Greatest Common Factor of 7437,7975 By Matching Biggest Common Factor Method

Factors of 7437

List of positive integer factors of 7437 that divides 7437 without a remainder.

1,3,37,67,111,201,2479,7437

Factors of 7975

List of positive integer factors of 7975 that divides 7975 without a remainder.

1,5,11,25,29,55,145,275,319,725,1595,7975

Greatest Common Factor

We found the factors 7437,7975 . The biggest common factor number is the GCF number.
So the greatest common factor 7437,7975 is 1.

Lets's calculate LCM of 34,953

Given numbers has no common factors except 1. So, there LCM is their product i.e 32402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32402

Therefore, the GCF of Fractions 7437/34,7975/953 is 1/32402

Least Common Multiple of 34,953 with GCF Formula

Least Common Multiple of 34,953 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 34,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,953) = 1

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

GCF(34,953) x common factors =1 x 1 = 1

LCM(34,953) = ( 34 × 953 ) / 1

LCM(34,953) = 32402 / 1

LCM(34,953) = 32402


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 7437/34, 7975/953

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 7437/34, 7975/953?

Answer: GCF of Numerators as per given numbers 7437/34, 7975/953 is

GCF of Numerators i.e. for 7437,7975 is 1

LCM of denominators i.e. for 34,953 is 32402.

Thus, GCF of Fractions is 1/32402.Finally, GCF of Fractions for 7437/34, 7975/953 is 1/32402.