Greatest Common Factor of 724/185, 4776/8120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 724/185, 4776/8120

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 724/185,4776/8120

Given fractions are 724/185,4776/8120

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 724,4776

Greatest Common Factor of Numerators i.e. GCF of 724,4776 is 4 .

LCM of Denominators means LCM of 185,8120 as per the given fractions.

LCM of 185,8120 is 300440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 724,4776

GCF of Fractions 724/185,4776/8120 is 4/300440

2 724, 4776
2 362, 2388
181, 1194

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 724,4776 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,4776 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 4776

List of positive integer factors of 4776 that divides 4776 without a remainder.

1,2,3,4,6,8,12,24,199,398,597,796,1194,1592,2388,4776

Greatest Common Factor

We found the factors 724,4776 . The biggest common factor number is the GCF number.
So the greatest common factor 724,4776 is 4.

Lets's calculate LCM of 185,8120

5 185, 8120
37, 1624

∴ So the LCM of the given numbers is 5 x 37 x 1624 = 300440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/300440

Therefore, the GCF of Fractions 724/185,4776/8120 is 4/300440

Least Common Multiple of 185,8120 with GCF Formula

Least Common Multiple of 185,8120 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 185,8120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,8120) = 5

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

GCF(185,8120) x common factors =5 x 1 = 5

LCM(185,8120) = ( 185 × 8120 ) / 5

LCM(185,8120) = 1502200 / 5

LCM(185,8120) = 300440


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 724/185, 4776/8120

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 724/185, 4776/8120?

Answer: GCF of Numerators as per given numbers 724/185, 4776/8120 is

GCF of Numerators i.e. for 724,4776 is 4

LCM of denominators i.e. for 185,8120 is 300440.

Thus, GCF of Fractions is 4/300440.Finally, GCF of Fractions for 724/185, 4776/8120 is 4/300440.