Greatest Common Factor of 755/691, 602/472, 798/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 755/691, 602/472, 798/291

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 755/691,602/472,798/291

Given fractions are 755/691,602/472,798/291

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 755,602,798

Greatest Common Factor of Numerators i.e. GCF of 755,602,798 is 1 .

LCM of Denominators means LCM of 691,472,291 as per the given fractions.

LCM of 691,472,291 is 94910232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 755,602,798

GCF of Fractions 755/691,602/472,798/291 is 1/94910232

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

Greatest Common Factor of 755,602,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,602,798 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 755,602,798 . The biggest common factor number is the GCF number.
So the greatest common factor 755,602,798 is 1.

Lets's calculate LCM of 691,472,291

Given numbers has no common factors except 1. So, there LCM is their product i.e 94910232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94910232

Therefore, the GCF of Fractions 755/691,602/472,798/291 is 1/94910232

Least Common Multiple of 691,472,291 with GCF Formula

Least Common Multiple of 691,472,291 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 691,472,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,472,291) = 1

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

GCF(691,472,291) x common factors =1 x 1 = 1

LCM(691,472,291) = ( 691 × 472 × 291 ) / 1

LCM(691,472,291) = 94910232 / 1

LCM(691,472,291) = 94910232


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 755/691, 602/472, 798/291

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 755/691, 602/472, 798/291?

Answer: GCF of Numerators as per given numbers 755/691, 602/472, 798/291 is

GCF of Numerators i.e. for 755,602,798 is 1

LCM of denominators i.e. for 691,472,291 is 94910232.

Thus, GCF of Fractions is 1/94910232.Finally, GCF of Fractions for 755/691, 602/472, 798/291 is 1/94910232.