Greatest Common Factor of 380/61, 177/39, 861/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 380/61, 177/39, 861/740

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 380/61,177/39,861/740

Given fractions are 380/61,177/39,861/740

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 380,177,861

Greatest Common Factor of Numerators i.e. GCF of 380,177,861 is 1 .

LCM of Denominators means LCM of 61,39,740 as per the given fractions.

LCM of 61,39,740 is 1760460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 380,177,861

GCF of Fractions 380/61,177/39,861/740 is 1/1760460

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

Greatest Common Factor of 380,177,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,177,861 By Matching Biggest Common Factor Method

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

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 380,177,861 . The biggest common factor number is the GCF number.
So the greatest common factor 380,177,861 is 1.

Lets's calculate LCM of 61,39,740

Given numbers has no common factors except 1. So, there LCM is their product i.e 1760460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1760460

Therefore, the GCF of Fractions 380/61,177/39,861/740 is 1/1760460

Least Common Multiple of 61,39,740 with GCF Formula

Least Common Multiple of 61,39,740 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 61,39,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,39,740) = 1

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

GCF(61,39,740) x common factors =1 x 1 = 1

LCM(61,39,740) = ( 61 × 39 × 740 ) / 1

LCM(61,39,740) = 1760460 / 1

LCM(61,39,740) = 1760460


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 380/61, 177/39, 861/740

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 380/61, 177/39, 861/740?

Answer: GCF of Numerators as per given numbers 380/61, 177/39, 861/740 is

GCF of Numerators i.e. for 380,177,861 is 1

LCM of denominators i.e. for 61,39,740 is 1760460.

Thus, GCF of Fractions is 1/1760460.Finally, GCF of Fractions for 380/61, 177/39, 861/740 is 1/1760460.