Greatest Common Factor of 719/177, 870/175, 981/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 719/177, 870/175, 981/554

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 719/177,870/175,981/554

Given fractions are 719/177,870/175,981/554

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 719,870,981

Greatest Common Factor of Numerators i.e. GCF of 719,870,981 is 1 .

LCM of Denominators means LCM of 177,175,554 as per the given fractions.

LCM of 177,175,554 is 17160150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 719,870,981

GCF of Fractions 719/177,870/175,981/554 is 1/17160150

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

Greatest Common Factor of 719,870,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,870,981 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 719,870,981 . The biggest common factor number is the GCF number.
So the greatest common factor 719,870,981 is 1.

Lets's calculate LCM of 177,175,554

Given numbers has no common factors except 1. So, there LCM is their product i.e 17160150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17160150

Therefore, the GCF of Fractions 719/177,870/175,981/554 is 1/17160150

Least Common Multiple of 177,175,554 with GCF Formula

Least Common Multiple of 177,175,554 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 177,175,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,175,554) = 1

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

GCF(177,175,554) x common factors =1 x 1 = 1

LCM(177,175,554) = ( 177 × 175 × 554 ) / 1

LCM(177,175,554) = 17160150 / 1

LCM(177,175,554) = 17160150


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 719/177, 870/175, 981/554

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 719/177, 870/175, 981/554?

Answer: GCF of Numerators as per given numbers 719/177, 870/175, 981/554 is

GCF of Numerators i.e. for 719,870,981 is 1

LCM of denominators i.e. for 177,175,554 is 17160150.

Thus, GCF of Fractions is 1/17160150.Finally, GCF of Fractions for 719/177, 870/175, 981/554 is 1/17160150.