Greatest Common Factor of 371/634, 612/166, 122/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 371/634, 612/166, 122/711

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 371/634,612/166,122/711

Given fractions are 371/634,612/166,122/711

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 371,612,122

Greatest Common Factor of Numerators i.e. GCF of 371,612,122 is 1 .

LCM of Denominators means LCM of 634,166,711 as per the given fractions.

LCM of 634,166,711 is 37414242 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 371,612,122

GCF of Fractions 371/634,612/166,122/711 is 1/37414242

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

Greatest Common Factor of 371,612,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,612,122 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 371,612,122 . The biggest common factor number is the GCF number.
So the greatest common factor 371,612,122 is 1.

Lets's calculate LCM of 634,166,711

2 634, 166, 711
317, 83, 711

∴ So the LCM of the given numbers is 2 x 317 x 83 x 711 = 37414242

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37414242

Therefore, the GCF of Fractions 371/634,612/166,122/711 is 1/37414242

Least Common Multiple of 634,166,711 with GCF Formula

Least Common Multiple of 634,166,711 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 634,166,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,166,711) = 1

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

GCF(634,166,711) x common factors =1 x 2 = 2

LCM(634,166,711) = ( 634 × 166 × 711 ) / 2

LCM(634,166,711) = 74828484 / 2

LCM(634,166,711) = 37414242


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 371/634, 612/166, 122/711

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 371/634, 612/166, 122/711?

Answer: GCF of Numerators as per given numbers 371/634, 612/166, 122/711 is

GCF of Numerators i.e. for 371,612,122 is 1

LCM of denominators i.e. for 634,166,711 is 37414242.

Thus, GCF of Fractions is 1/37414242.Finally, GCF of Fractions for 371/634, 612/166, 122/711 is 1/37414242.