Greatest Common Factor of 376/561, 125/715, 380/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 376/561, 125/715, 380/975

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 376/561,125/715,380/975

Given fractions are 376/561,125/715,380/975

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 376,125,380

Greatest Common Factor of Numerators i.e. GCF of 376,125,380 is 1 .

LCM of Denominators means LCM of 561,715,975 as per the given fractions.

LCM of 561,715,975 is 182325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 376,125,380

GCF of Fractions 376/561,125/715,380/975 is 1/182325

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

Greatest Common Factor of 376,125,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,125,380 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 376,125,380 . The biggest common factor number is the GCF number.
So the greatest common factor 376,125,380 is 1.

Lets's calculate LCM of 561,715,975

3 561, 715, 975
5 187, 715, 325
11 187, 143, 65
13 17, 13, 65
17, 1, 5

∴ So the LCM of the given numbers is 3 x 5 x 11 x 13 x 17 x 1 x 5 = 182325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182325

Therefore, the GCF of Fractions 376/561,125/715,380/975 is 1/182325

Least Common Multiple of 561,715,975 with GCF Formula

Least Common Multiple of 561,715,975 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 561,715,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,715,975) = 1

common factors(in case of two or more numbers have common factors) = 2145

GCF(561,715,975) x common factors =1 x 2145 = 2145

LCM(561,715,975) = ( 561 × 715 × 975 ) / 2145

LCM(561,715,975) = 391087125 / 2145

LCM(561,715,975) = 182325


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 376/561, 125/715, 380/975

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 376/561, 125/715, 380/975?

Answer: GCF of Numerators as per given numbers 376/561, 125/715, 380/975 is

GCF of Numerators i.e. for 376,125,380 is 1

LCM of denominators i.e. for 561,715,975 is 182325.

Thus, GCF of Fractions is 1/182325.Finally, GCF of Fractions for 376/561, 125/715, 380/975 is 1/182325.