Greatest Common Factor of 632/45, 923/61, 954/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 632/45, 923/61, 954/10

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 632/45,923/61,954/10

Given fractions are 632/45,923/61,954/10

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 632,923,954

Greatest Common Factor of Numerators i.e. GCF of 632,923,954 is 1 .

LCM of Denominators means LCM of 45,61,10 as per the given fractions.

LCM of 45,61,10 is 5490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 632,923,954

GCF of Fractions 632/45,923/61,954/10 is 1/5490

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

Greatest Common Factor of 632,923,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,923,954 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 632,923,954 . The biggest common factor number is the GCF number.
So the greatest common factor 632,923,954 is 1.

Lets's calculate LCM of 45,61,10

5 45, 61, 10
9, 61, 2

∴ So the LCM of the given numbers is 5 x 9 x 61 x 2 = 5490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5490

Therefore, the GCF of Fractions 632/45,923/61,954/10 is 1/5490

Least Common Multiple of 45,61,10 with GCF Formula

Least Common Multiple of 45,61,10 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 45,61,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,61,10) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(45,61,10) x common factors =1 x 5 = 5

LCM(45,61,10) = ( 45 × 61 × 10 ) / 5

LCM(45,61,10) = 27450 / 5

LCM(45,61,10) = 5490


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 632/45, 923/61, 954/10

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 632/45, 923/61, 954/10?

Answer: GCF of Numerators as per given numbers 632/45, 923/61, 954/10 is

GCF of Numerators i.e. for 632,923,954 is 1

LCM of denominators i.e. for 45,61,10 is 5490.

Thus, GCF of Fractions is 1/5490.Finally, GCF of Fractions for 632/45, 923/61, 954/10 is 1/5490.