Greatest Common Factor of 642/953, 326/251, 237/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 642/953, 326/251, 237/233

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 642/953,326/251,237/233

Given fractions are 642/953,326/251,237/233

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 642,326,237

Greatest Common Factor of Numerators i.e. GCF of 642,326,237 is 1 .

LCM of Denominators means LCM of 953,251,233 as per the given fractions.

LCM of 953,251,233 is 55734299 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 642,326,237

GCF of Fractions 642/953,326/251,237/233 is 1/55734299

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

Greatest Common Factor of 642,326,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,326,237 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 642,326,237 . The biggest common factor number is the GCF number.
So the greatest common factor 642,326,237 is 1.

Lets's calculate LCM of 953,251,233

Given numbers has no common factors except 1. So, there LCM is their product i.e 55734299

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55734299

Therefore, the GCF of Fractions 642/953,326/251,237/233 is 1/55734299

Least Common Multiple of 953,251,233 with GCF Formula

Least Common Multiple of 953,251,233 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 953,251,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(953,251,233) = 1

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

GCF(953,251,233) x common factors =1 x 1 = 1

LCM(953,251,233) = ( 953 × 251 × 233 ) / 1

LCM(953,251,233) = 55734299 / 1

LCM(953,251,233) = 55734299


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 642/953, 326/251, 237/233

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 642/953, 326/251, 237/233?

Answer: GCF of Numerators as per given numbers 642/953, 326/251, 237/233 is

GCF of Numerators i.e. for 642,326,237 is 1

LCM of denominators i.e. for 953,251,233 is 55734299.

Thus, GCF of Fractions is 1/55734299.Finally, GCF of Fractions for 642/953, 326/251, 237/233 is 1/55734299.