Greatest Common Factor of 3658/952, 4423/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3658/952, 4423/917

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 3658/952,4423/917

Given fractions are 3658/952,4423/917

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 3658,4423

Greatest Common Factor of Numerators i.e. GCF of 3658,4423 is 1 .

LCM of Denominators means LCM of 952,917 as per the given fractions.

LCM of 952,917 is 124712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3658,4423

GCF of Fractions 3658/952,4423/917 is 1/124712

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

Greatest Common Factor of 3658,4423 By Matching Biggest Common Factor Method

Greatest Common Factor of 3658,4423 By Matching Biggest Common Factor Method

Factors of 3658

List of positive integer factors of 3658 that divides 3658 without a remainder.

1,2,31,59,62,118,1829,3658

Factors of 4423

List of positive integer factors of 4423 that divides 4423 without a remainder.

1,4423

Greatest Common Factor

We found the factors 3658,4423 . The biggest common factor number is the GCF number.
So the greatest common factor 3658,4423 is 1.

Lets's calculate LCM of 952,917

7 952, 917
136, 131

∴ So the LCM of the given numbers is 7 x 136 x 131 = 124712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124712

Therefore, the GCF of Fractions 3658/952,4423/917 is 1/124712

Least Common Multiple of 952,917 with GCF Formula

Least Common Multiple of 952,917 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 952,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,917) = 7

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

GCF(952,917) x common factors =7 x 1 = 7

LCM(952,917) = ( 952 × 917 ) / 7

LCM(952,917) = 872984 / 7

LCM(952,917) = 124712


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 3658/952, 4423/917

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 3658/952, 4423/917?

Answer: GCF of Numerators as per given numbers 3658/952, 4423/917 is

GCF of Numerators i.e. for 3658,4423 is 1

LCM of denominators i.e. for 952,917 is 124712.

Thus, GCF of Fractions is 1/124712.Finally, GCF of Fractions for 3658/952, 4423/917 is 1/124712.