Greatest Common Factor of 724/60, 148/9763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 724/60, 148/9763

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 724/60,148/9763

Given fractions are 724/60,148/9763

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 724,148

Greatest Common Factor of Numerators i.e. GCF of 724,148 is 4 .

LCM of Denominators means LCM of 60,9763 as per the given fractions.

LCM of 60,9763 is 585780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 724,148

GCF of Fractions 724/60,148/9763 is 4/585780

2 724, 148
2 362, 74
181, 37

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

Greatest Common Factor of 724,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,148 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 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 724,148 . The biggest common factor number is the GCF number.
So the greatest common factor 724,148 is 4.

Lets's calculate LCM of 60,9763

Given numbers has no common factors except 1. So, there LCM is their product i.e 585780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/585780

Therefore, the GCF of Fractions 724/60,148/9763 is 4/585780

Least Common Multiple of 60,9763 with GCF Formula

Least Common Multiple of 60,9763 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 60,9763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,9763) = 1

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

GCF(60,9763) x common factors =1 x 1 = 1

LCM(60,9763) = ( 60 × 9763 ) / 1

LCM(60,9763) = 585780 / 1

LCM(60,9763) = 585780


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 724/60, 148/9763

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 724/60, 148/9763?

Answer: GCF of Numerators as per given numbers 724/60, 148/9763 is

GCF of Numerators i.e. for 724,148 is 4

LCM of denominators i.e. for 60,9763 is 585780.

Thus, GCF of Fractions is 4/585780.Finally, GCF of Fractions for 724/60, 148/9763 is 4/585780.