Greatest Common Factor of 982/88, 442/34, 174/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 982/88, 442/34, 174/611

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 982/88,442/34,174/611

Given fractions are 982/88,442/34,174/611

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 982,442,174

Greatest Common Factor of Numerators i.e. GCF of 982,442,174 is 2 .

LCM of Denominators means LCM of 88,34,611 as per the given fractions.

LCM of 88,34,611 is 914056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 982,442,174

GCF of Fractions 982/88,442/34,174/611 is 2/914056

2 982, 442, 174
491, 221, 87

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 982,442,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,442,174 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 982,442,174 . The biggest common factor number is the GCF number.
So the greatest common factor 982,442,174 is 2.

Lets's calculate LCM of 88,34,611

2 88, 34, 611
44, 17, 611

∴ So the LCM of the given numbers is 2 x 44 x 17 x 611 = 914056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/914056

Therefore, the GCF of Fractions 982/88,442/34,174/611 is 2/914056

Least Common Multiple of 88,34,611 with GCF Formula

Least Common Multiple of 88,34,611 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 88,34,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,34,611) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(88,34,611) x common factors =1 x 2 = 2

LCM(88,34,611) = ( 88 × 34 × 611 ) / 2

LCM(88,34,611) = 1828112 / 2

LCM(88,34,611) = 914056


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 982/88, 442/34, 174/611

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 982/88, 442/34, 174/611?

Answer: GCF of Numerators as per given numbers 982/88, 442/34, 174/611 is

GCF of Numerators i.e. for 982,442,174 is 2

LCM of denominators i.e. for 88,34,611 is 914056.

Thus, GCF of Fractions is 2/914056.Finally, GCF of Fractions for 982/88, 442/34, 174/611 is 2/914056.