Greatest Common Factor of 925/46, 658/74, 645/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 925/46, 658/74, 645/924

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 925/46,658/74,645/924

Given fractions are 925/46,658/74,645/924

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 925,658,645

Greatest Common Factor of Numerators i.e. GCF of 925,658,645 is 1 .

LCM of Denominators means LCM of 46,74,924 as per the given fractions.

LCM of 46,74,924 is 786324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 925,658,645

GCF of Fractions 925/46,658/74,645/924 is 1/786324

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

Greatest Common Factor of 925,658,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 925,658,645 By Matching Biggest Common Factor Method

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 925,658,645 . The biggest common factor number is the GCF number.
So the greatest common factor 925,658,645 is 1.

Lets's calculate LCM of 46,74,924

2 46, 74, 924
23, 37, 462

∴ So the LCM of the given numbers is 2 x 23 x 37 x 462 = 786324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/786324

Therefore, the GCF of Fractions 925/46,658/74,645/924 is 1/786324

Least Common Multiple of 46,74,924 with GCF Formula

Least Common Multiple of 46,74,924 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 46,74,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,74,924) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(46,74,924) x common factors =2 x 2 = 4

LCM(46,74,924) = ( 46 × 74 × 924 ) / 4

LCM(46,74,924) = 3145296 / 4

LCM(46,74,924) = 786324


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 925/46, 658/74, 645/924

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 925/46, 658/74, 645/924?

Answer: GCF of Numerators as per given numbers 925/46, 658/74, 645/924 is

GCF of Numerators i.e. for 925,658,645 is 1

LCM of denominators i.e. for 46,74,924 is 786324.

Thus, GCF of Fractions is 1/786324.Finally, GCF of Fractions for 925/46, 658/74, 645/924 is 1/786324.