Greatest Common Factor of 388/152, 3525/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 388/152, 3525/718

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 388/152,3525/718

Given fractions are 388/152,3525/718

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 388,3525

Greatest Common Factor of Numerators i.e. GCF of 388,3525 is 1 .

LCM of Denominators means LCM of 152,718 as per the given fractions.

LCM of 152,718 is 54568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 388,3525

GCF of Fractions 388/152,3525/718 is 1/54568

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

Greatest Common Factor of 388,3525 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,3525 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 3525

List of positive integer factors of 3525 that divides 3525 without a remainder.

1,3,5,15,25,47,75,141,235,705,1175,3525

Greatest Common Factor

We found the factors 388,3525 . The biggest common factor number is the GCF number.
So the greatest common factor 388,3525 is 1.

Lets's calculate LCM of 152,718

2 152, 718
76, 359

∴ So the LCM of the given numbers is 2 x 76 x 359 = 54568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54568

Therefore, the GCF of Fractions 388/152,3525/718 is 1/54568

Least Common Multiple of 152,718 with GCF Formula

Least Common Multiple of 152,718 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 152,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,718) = 2

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

GCF(152,718) x common factors =2 x 1 = 2

LCM(152,718) = ( 152 × 718 ) / 2

LCM(152,718) = 109136 / 2

LCM(152,718) = 54568


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 388/152, 3525/718

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 388/152, 3525/718?

Answer: GCF of Numerators as per given numbers 388/152, 3525/718 is

GCF of Numerators i.e. for 388,3525 is 1

LCM of denominators i.e. for 152,718 is 54568.

Thus, GCF of Fractions is 1/54568.Finally, GCF of Fractions for 388/152, 3525/718 is 1/54568.