Greatest Common Factor of 43/38, 30/21, 764/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 43/38, 30/21, 764/525

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 43/38,30/21,764/525

Given fractions are 43/38,30/21,764/525

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 43,30,764

Greatest Common Factor of Numerators i.e. GCF of 43,30,764 is 1 .

LCM of Denominators means LCM of 38,21,525 as per the given fractions.

LCM of 38,21,525 is 19950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 43,30,764

GCF of Fractions 43/38,30/21,764/525 is 1/19950

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

Greatest Common Factor of 43,30,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,30,764 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 43,30,764 . The biggest common factor number is the GCF number.
So the greatest common factor 43,30,764 is 1.

Lets's calculate LCM of 38,21,525

3 38, 21, 525
7 38, 7, 175
38, 1, 25

∴ So the LCM of the given numbers is 3 x 7 x 38 x 1 x 25 = 19950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19950

Therefore, the GCF of Fractions 43/38,30/21,764/525 is 1/19950

Least Common Multiple of 38,21,525 with GCF Formula

Least Common Multiple of 38,21,525 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 38,21,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,21,525) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(38,21,525) x common factors =1 x 21 = 21

LCM(38,21,525) = ( 38 × 21 × 525 ) / 21

LCM(38,21,525) = 418950 / 21

LCM(38,21,525) = 19950


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 43/38, 30/21, 764/525

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 43/38, 30/21, 764/525?

Answer: GCF of Numerators as per given numbers 43/38, 30/21, 764/525 is

GCF of Numerators i.e. for 43,30,764 is 1

LCM of denominators i.e. for 38,21,525 is 19950.

Thus, GCF of Fractions is 1/19950.Finally, GCF of Fractions for 43/38, 30/21, 764/525 is 1/19950.