Greatest Common Factor of 754/38, 624/5338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 754/38, 624/5338

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 754/38,624/5338

Given fractions are 754/38,624/5338

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 754,624

Greatest Common Factor of Numerators i.e. GCF of 754,624 is 26 .

LCM of Denominators means LCM of 38,5338 as per the given fractions.

LCM of 38,5338 is 101422 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 754,624

GCF of Fractions 754/38,624/5338 is 26/101422

2 754, 624
13 377, 312
29, 24

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 754,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,624 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 754,624 . The biggest common factor number is the GCF number.
So the greatest common factor 754,624 is 26.

Lets's calculate LCM of 38,5338

2 38, 5338
19, 2669

∴ So the LCM of the given numbers is 2 x 19 x 2669 = 101422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/101422

Therefore, the GCF of Fractions 754/38,624/5338 is 26/101422

Least Common Multiple of 38,5338 with GCF Formula

Least Common Multiple of 38,5338 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 38,5338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,5338) = 2

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

GCF(38,5338) x common factors =2 x 1 = 2

LCM(38,5338) = ( 38 × 5338 ) / 2

LCM(38,5338) = 202844 / 2

LCM(38,5338) = 101422


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 754/38, 624/5338

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 754/38, 624/5338?

Answer: GCF of Numerators as per given numbers 754/38, 624/5338 is

GCF of Numerators i.e. for 754,624 is 26

LCM of denominators i.e. for 38,5338 is 101422.

Thus, GCF of Fractions is 26/101422.Finally, GCF of Fractions for 754/38, 624/5338 is 26/101422.