Greatest Common Factor of 69/748, 51/691, 335/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/748, 51/691, 335/527

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 69/748,51/691,335/527

Given fractions are 69/748,51/691,335/527

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 69,51,335

Greatest Common Factor of Numerators i.e. GCF of 69,51,335 is 1 .

LCM of Denominators means LCM of 748,691,527 as per the given fractions.

LCM of 748,691,527 is 16022908 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,51,335

GCF of Fractions 69/748,51/691,335/527 is 1/16022908

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

Greatest Common Factor of 69,51,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,51,335 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors 69,51,335 . The biggest common factor number is the GCF number.
So the greatest common factor 69,51,335 is 1.

Lets's calculate LCM of 748,691,527

17 748, 691, 527
44, 691, 31

∴ So the LCM of the given numbers is 17 x 44 x 691 x 31 = 16022908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16022908

Therefore, the GCF of Fractions 69/748,51/691,335/527 is 1/16022908

Least Common Multiple of 748,691,527 with GCF Formula

Least Common Multiple of 748,691,527 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 748,691,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,691,527) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(748,691,527) x common factors =1 x 17 = 17

LCM(748,691,527) = ( 748 × 691 × 527 ) / 17

LCM(748,691,527) = 272389436 / 17

LCM(748,691,527) = 16022908


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 69/748, 51/691, 335/527

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 69/748, 51/691, 335/527?

Answer: GCF of Numerators as per given numbers 69/748, 51/691, 335/527 is

GCF of Numerators i.e. for 69,51,335 is 1

LCM of denominators i.e. for 748,691,527 is 16022908.

Thus, GCF of Fractions is 1/16022908.Finally, GCF of Fractions for 69/748, 51/691, 335/527 is 1/16022908.