Greatest Common Factor of 958/23, 915/99, 653/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 958/23, 915/99, 653/746

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 958/23,915/99,653/746

Given fractions are 958/23,915/99,653/746

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 958,915,653

Greatest Common Factor of Numerators i.e. GCF of 958,915,653 is 1 .

LCM of Denominators means LCM of 23,99,746 as per the given fractions.

LCM of 23,99,746 is 1698642 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 958,915,653

GCF of Fractions 958/23,915/99,653/746 is 1/1698642

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

Greatest Common Factor of 958,915,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,915,653 By Matching Biggest Common Factor Method

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 958,915,653 . The biggest common factor number is the GCF number.
So the greatest common factor 958,915,653 is 1.

Lets's calculate LCM of 23,99,746

Given numbers has no common factors except 1. So, there LCM is their product i.e 1698642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1698642

Therefore, the GCF of Fractions 958/23,915/99,653/746 is 1/1698642

Least Common Multiple of 23,99,746 with GCF Formula

Least Common Multiple of 23,99,746 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 23,99,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,99,746) = 1

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

GCF(23,99,746) x common factors =1 x 1 = 1

LCM(23,99,746) = ( 23 × 99 × 746 ) / 1

LCM(23,99,746) = 1698642 / 1

LCM(23,99,746) = 1698642


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 958/23, 915/99, 653/746

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 958/23, 915/99, 653/746?

Answer: GCF of Numerators as per given numbers 958/23, 915/99, 653/746 is

GCF of Numerators i.e. for 958,915,653 is 1

LCM of denominators i.e. for 23,99,746 is 1698642.

Thus, GCF of Fractions is 1/1698642.Finally, GCF of Fractions for 958/23, 915/99, 653/746 is 1/1698642.