Greatest Common Factor of 4788/65, 1265/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4788/65, 1265/735

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 4788/65,1265/735

Given fractions are 4788/65,1265/735

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 4788,1265

Greatest Common Factor of Numerators i.e. GCF of 4788,1265 is 1 .

LCM of Denominators means LCM of 65,735 as per the given fractions.

LCM of 65,735 is 9555 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4788,1265

GCF of Fractions 4788/65,1265/735 is 1/9555

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

Greatest Common Factor of 4788,1265 By Matching Biggest Common Factor Method

Greatest Common Factor of 4788,1265 By Matching Biggest Common Factor Method

Factors of 4788

List of positive integer factors of 4788 that divides 4788 without a remainder.

1,2,3,4,6,7,9,12,14,18,19,21,28,36,38,42,57,63,76,84,114,126,133,171,228,252,266,342,399,532,684,798,1197,1596,2394,4788

Factors of 1265

List of positive integer factors of 1265 that divides 1265 without a remainder.

1,5,11,23,55,115,253,1265

Greatest Common Factor

We found the factors 4788,1265 . The biggest common factor number is the GCF number.
So the greatest common factor 4788,1265 is 1.

Lets's calculate LCM of 65,735

5 65, 735
13, 147

∴ So the LCM of the given numbers is 5 x 13 x 147 = 9555

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9555

Therefore, the GCF of Fractions 4788/65,1265/735 is 1/9555

Least Common Multiple of 65,735 with GCF Formula

Least Common Multiple of 65,735 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 65,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,735) = 5

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

GCF(65,735) x common factors =5 x 1 = 5

LCM(65,735) = ( 65 × 735 ) / 5

LCM(65,735) = 47775 / 5

LCM(65,735) = 9555


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 4788/65, 1265/735

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 4788/65, 1265/735?

Answer: GCF of Numerators as per given numbers 4788/65, 1265/735 is

GCF of Numerators i.e. for 4788,1265 is 1

LCM of denominators i.e. for 65,735 is 9555.

Thus, GCF of Fractions is 1/9555.Finally, GCF of Fractions for 4788/65, 1265/735 is 1/9555.