Greatest Common Factor of 65/78, 92/54, 735/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/78, 92/54, 735/469

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 65/78,92/54,735/469

Given fractions are 65/78,92/54,735/469

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 65,92,735

Greatest Common Factor of Numerators i.e. GCF of 65,92,735 is 1 .

LCM of Denominators means LCM of 78,54,469 as per the given fractions.

LCM of 78,54,469 is 329238 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,92,735

GCF of Fractions 65/78,92/54,735/469 is 1/329238

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

Greatest Common Factor of 65,92,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,92,735 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 65,92,735 . The biggest common factor number is the GCF number.
So the greatest common factor 65,92,735 is 1.

Lets's calculate LCM of 78,54,469

2 78, 54, 469
3 39, 27, 469
13, 9, 469

∴ So the LCM of the given numbers is 2 x 3 x 13 x 9 x 469 = 329238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329238

Therefore, the GCF of Fractions 65/78,92/54,735/469 is 1/329238

Least Common Multiple of 78,54,469 with GCF Formula

Least Common Multiple of 78,54,469 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 78,54,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,54,469) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,54,469) x common factors =1 x 6 = 6

LCM(78,54,469) = ( 78 × 54 × 469 ) / 6

LCM(78,54,469) = 1975428 / 6

LCM(78,54,469) = 329238


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 65/78, 92/54, 735/469

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 65/78, 92/54, 735/469?

Answer: GCF of Numerators as per given numbers 65/78, 92/54, 735/469 is

GCF of Numerators i.e. for 65,92,735 is 1

LCM of denominators i.e. for 78,54,469 is 329238.

Thus, GCF of Fractions is 1/329238.Finally, GCF of Fractions for 65/78, 92/54, 735/469 is 1/329238.