Greatest Common Factor of 4654/726, 9685/4504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4654/726, 9685/4504

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 4654/726,9685/4504

Given fractions are 4654/726,9685/4504

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 4654,9685

Greatest Common Factor of Numerators i.e. GCF of 4654,9685 is 13 .

LCM of Denominators means LCM of 726,4504 as per the given fractions.

LCM of 726,4504 is 1634952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4654,9685

GCF of Fractions 4654/726,9685/4504 is 13/1634952

13 4654, 9685
358, 745

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4654,9685 By Matching Biggest Common Factor Method

Greatest Common Factor of 4654,9685 By Matching Biggest Common Factor Method

Factors of 4654

List of positive integer factors of 4654 that divides 4654 without a remainder.

1,2,13,26,179,358,2327,4654

Factors of 9685

List of positive integer factors of 9685 that divides 9685 without a remainder.

1,5,13,65,149,745,1937,9685

Greatest Common Factor

We found the factors 4654,9685 . The biggest common factor number is the GCF number.
So the greatest common factor 4654,9685 is 13.

Lets's calculate LCM of 726,4504

2 726, 4504
363, 2252

∴ So the LCM of the given numbers is 2 x 363 x 2252 = 1634952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1634952

Therefore, the GCF of Fractions 4654/726,9685/4504 is 13/1634952

Least Common Multiple of 726,4504 with GCF Formula

Least Common Multiple of 726,4504 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 726,4504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,4504) = 2

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

GCF(726,4504) x common factors =2 x 1 = 2

LCM(726,4504) = ( 726 × 4504 ) / 2

LCM(726,4504) = 3269904 / 2

LCM(726,4504) = 1634952


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 4654/726, 9685/4504

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 4654/726, 9685/4504?

Answer: GCF of Numerators as per given numbers 4654/726, 9685/4504 is

GCF of Numerators i.e. for 4654,9685 is 13

LCM of denominators i.e. for 726,4504 is 1634952.

Thus, GCF of Fractions is 13/1634952.Finally, GCF of Fractions for 4654/726, 9685/4504 is 13/1634952.