Greatest Common Factor of 34/363, 663/769, 636/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/363, 663/769, 636/134

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 34/363,663/769,636/134

Given fractions are 34/363,663/769,636/134

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 34,663,636

Greatest Common Factor of Numerators i.e. GCF of 34,663,636 is 1 .

LCM of Denominators means LCM of 363,769,134 as per the given fractions.

LCM of 363,769,134 is 37405698 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,663,636

GCF of Fractions 34/363,663/769,636/134 is 1/37405698

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

Greatest Common Factor of 34,663,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,663,636 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 34,663,636 . The biggest common factor number is the GCF number.
So the greatest common factor 34,663,636 is 1.

Lets's calculate LCM of 363,769,134

Given numbers has no common factors except 1. So, there LCM is their product i.e 37405698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37405698

Therefore, the GCF of Fractions 34/363,663/769,636/134 is 1/37405698

Least Common Multiple of 363,769,134 with GCF Formula

Least Common Multiple of 363,769,134 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 363,769,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,769,134) = 1

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

GCF(363,769,134) x common factors =1 x 1 = 1

LCM(363,769,134) = ( 363 × 769 × 134 ) / 1

LCM(363,769,134) = 37405698 / 1

LCM(363,769,134) = 37405698


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 34/363, 663/769, 636/134

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 34/363, 663/769, 636/134?

Answer: GCF of Numerators as per given numbers 34/363, 663/769, 636/134 is

GCF of Numerators i.e. for 34,663,636 is 1

LCM of denominators i.e. for 363,769,134 is 37405698.

Thus, GCF of Fractions is 1/37405698.Finally, GCF of Fractions for 34/363, 663/769, 636/134 is 1/37405698.