Greatest Common Factor of 779/302, 681/513, 604/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 779/302, 681/513, 604/188

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 779/302,681/513,604/188

Given fractions are 779/302,681/513,604/188

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 779,681,604

Greatest Common Factor of Numerators i.e. GCF of 779,681,604 is 1 .

LCM of Denominators means LCM of 302,513,188 as per the given fractions.

LCM of 302,513,188 is 14563044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 779,681,604

GCF of Fractions 779/302,681/513,604/188 is 1/14563044

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

Greatest Common Factor of 779,681,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 779,681,604 By Matching Biggest Common Factor Method

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 779,681,604 . The biggest common factor number is the GCF number.
So the greatest common factor 779,681,604 is 1.

Lets's calculate LCM of 302,513,188

2 302, 513, 188
151, 513, 94

∴ So the LCM of the given numbers is 2 x 151 x 513 x 94 = 14563044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14563044

Therefore, the GCF of Fractions 779/302,681/513,604/188 is 1/14563044

Least Common Multiple of 302,513,188 with GCF Formula

Least Common Multiple of 302,513,188 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 302,513,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(302,513,188) = 1

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

GCF(302,513,188) x common factors =1 x 2 = 2

LCM(302,513,188) = ( 302 × 513 × 188 ) / 2

LCM(302,513,188) = 29126088 / 2

LCM(302,513,188) = 14563044


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 779/302, 681/513, 604/188

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 779/302, 681/513, 604/188?

Answer: GCF of Numerators as per given numbers 779/302, 681/513, 604/188 is

GCF of Numerators i.e. for 779,681,604 is 1

LCM of denominators i.e. for 302,513,188 is 14563044.

Thus, GCF of Fractions is 1/14563044.Finally, GCF of Fractions for 779/302, 681/513, 604/188 is 1/14563044.