Greatest Common Factor of 4698/765, 3916/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4698/765, 3916/115

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 4698/765,3916/115

Given fractions are 4698/765,3916/115

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 4698,3916

Greatest Common Factor of Numerators i.e. GCF of 4698,3916 is 2 .

LCM of Denominators means LCM of 765,115 as per the given fractions.

LCM of 765,115 is 17595 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4698,3916

GCF of Fractions 4698/765,3916/115 is 2/17595

2 4698, 3916
2349, 1958

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4698,3916 By Matching Biggest Common Factor Method

Greatest Common Factor of 4698,3916 By Matching Biggest Common Factor Method

Factors of 4698

List of positive integer factors of 4698 that divides 4698 without a remainder.

1,2,3,6,9,18,27,29,54,58,81,87,162,174,261,522,783,1566,2349,4698

Factors of 3916

List of positive integer factors of 3916 that divides 3916 without a remainder.

1,2,4,11,22,44,89,178,356,979,1958,3916

Greatest Common Factor

We found the factors 4698,3916 . The biggest common factor number is the GCF number.
So the greatest common factor 4698,3916 is 2.

Lets's calculate LCM of 765,115

5 765, 115
153, 23

∴ So the LCM of the given numbers is 5 x 153 x 23 = 17595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17595

Therefore, the GCF of Fractions 4698/765,3916/115 is 2/17595

Least Common Multiple of 765,115 with GCF Formula

Least Common Multiple of 765,115 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 765,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,115) = 5

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

GCF(765,115) x common factors =5 x 1 = 5

LCM(765,115) = ( 765 × 115 ) / 5

LCM(765,115) = 87975 / 5

LCM(765,115) = 17595


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 4698/765, 3916/115

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 4698/765, 3916/115?

Answer: GCF of Numerators as per given numbers 4698/765, 3916/115 is

GCF of Numerators i.e. for 4698,3916 is 2

LCM of denominators i.e. for 765,115 is 17595.

Thus, GCF of Fractions is 2/17595.Finally, GCF of Fractions for 4698/765, 3916/115 is 2/17595.