Greatest Common Factor of 769/34, 494/5322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 769/34, 494/5322

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 769/34,494/5322

Given fractions are 769/34,494/5322

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 769,494

Greatest Common Factor of Numerators i.e. GCF of 769,494 is 1 .

LCM of Denominators means LCM of 34,5322 as per the given fractions.

LCM of 34,5322 is 90474 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 769,494

GCF of Fractions 769/34,494/5322 is 1/90474

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

Greatest Common Factor of 769,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,494 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 769,494 . The biggest common factor number is the GCF number.
So the greatest common factor 769,494 is 1.

Lets's calculate LCM of 34,5322

2 34, 5322
17, 2661

∴ So the LCM of the given numbers is 2 x 17 x 2661 = 90474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90474

Therefore, the GCF of Fractions 769/34,494/5322 is 1/90474

Least Common Multiple of 34,5322 with GCF Formula

Least Common Multiple of 34,5322 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 34,5322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,5322) = 2

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

GCF(34,5322) x common factors =2 x 1 = 2

LCM(34,5322) = ( 34 × 5322 ) / 2

LCM(34,5322) = 180948 / 2

LCM(34,5322) = 90474


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 769/34, 494/5322

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 769/34, 494/5322?

Answer: GCF of Numerators as per given numbers 769/34, 494/5322 is

GCF of Numerators i.e. for 769,494 is 1

LCM of denominators i.e. for 34,5322 is 90474.

Thus, GCF of Fractions is 1/90474.Finally, GCF of Fractions for 769/34, 494/5322 is 1/90474.