Greatest Common Factor of 104/749, 1924/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 104/749, 1924/928

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 104/749,1924/928

Given fractions are 104/749,1924/928

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 104,1924

Greatest Common Factor of Numerators i.e. GCF of 104,1924 is 52 .

LCM of Denominators means LCM of 749,928 as per the given fractions.

LCM of 749,928 is 695072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 104,1924

GCF of Fractions 104/749,1924/928 is 52/695072

2 104, 1924
2 52, 962
13 26, 481
2, 37

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Greatest Common Factor of 104,1924 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,1924 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 1924

List of positive integer factors of 1924 that divides 1924 without a remainder.

1,2,4,13,26,37,52,74,148,481,962,1924

Greatest Common Factor

We found the factors 104,1924 . The biggest common factor number is the GCF number.
So the greatest common factor 104,1924 is 52.

Lets's calculate LCM of 749,928

Given numbers has no common factors except 1. So, there LCM is their product i.e 695072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/695072

Therefore, the GCF of Fractions 104/749,1924/928 is 52/695072

Least Common Multiple of 749,928 with GCF Formula

Least Common Multiple of 749,928 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 749,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,928) = 1

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

GCF(749,928) x common factors =1 x 1 = 1

LCM(749,928) = ( 749 × 928 ) / 1

LCM(749,928) = 695072 / 1

LCM(749,928) = 695072


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 104/749, 1924/928

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 104/749, 1924/928?

Answer: GCF of Numerators as per given numbers 104/749, 1924/928 is

GCF of Numerators i.e. for 104,1924 is 52

LCM of denominators i.e. for 749,928 is 695072.

Thus, GCF of Fractions is 52/695072.Finally, GCF of Fractions for 104/749, 1924/928 is 52/695072.