Greatest Common Factor of 626/12, 923/32, 634/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 626/12, 923/32, 634/375

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 626/12,923/32,634/375

Given fractions are 626/12,923/32,634/375

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 626,923,634

Greatest Common Factor of Numerators i.e. GCF of 626,923,634 is 1 .

LCM of Denominators means LCM of 12,32,375 as per the given fractions.

LCM of 12,32,375 is 12000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 626,923,634

GCF of Fractions 626/12,923/32,634/375 is 1/12000

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

Greatest Common Factor of 626,923,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 626,923,634 By Matching Biggest Common Factor Method

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 923

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

1,13,71,923

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 626,923,634 . The biggest common factor number is the GCF number.
So the greatest common factor 626,923,634 is 1.

Lets's calculate LCM of 12,32,375

2 12, 32, 375
2 6, 16, 375
3 3, 8, 375
1, 8, 125

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 8 x 125 = 12000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12000

Therefore, the GCF of Fractions 626/12,923/32,634/375 is 1/12000

Least Common Multiple of 12,32,375 with GCF Formula

Least Common Multiple of 12,32,375 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 12,32,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,32,375) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(12,32,375) x common factors =1 x 12 = 12

LCM(12,32,375) = ( 12 × 32 × 375 ) / 12

LCM(12,32,375) = 144000 / 12

LCM(12,32,375) = 12000


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 626/12, 923/32, 634/375

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 626/12, 923/32, 634/375?

Answer: GCF of Numerators as per given numbers 626/12, 923/32, 634/375 is

GCF of Numerators i.e. for 626,923,634 is 1

LCM of denominators i.e. for 12,32,375 is 12000.

Thus, GCF of Fractions is 1/12000.Finally, GCF of Fractions for 626/12, 923/32, 634/375 is 1/12000.