Greatest Common Factor of 949/496, 4732/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 949/496, 4732/180

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 949/496,4732/180

Given fractions are 949/496,4732/180

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 949,4732

Greatest Common Factor of Numerators i.e. GCF of 949,4732 is 13 .

LCM of Denominators means LCM of 496,180 as per the given fractions.

LCM of 496,180 is 22320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 949,4732

GCF of Fractions 949/496,4732/180 is 13/22320

13 949, 4732
73, 364

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

Greatest Common Factor of 949,4732 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,4732 By Matching Biggest Common Factor Method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 4732

List of positive integer factors of 4732 that divides 4732 without a remainder.

1,2,4,7,13,14,26,28,52,91,169,182,338,364,676,1183,2366,4732

Greatest Common Factor

We found the factors 949,4732 . The biggest common factor number is the GCF number.
So the greatest common factor 949,4732 is 13.

Lets's calculate LCM of 496,180

2 496, 180
2 248, 90
124, 45

∴ So the LCM of the given numbers is 2 x 2 x 124 x 45 = 22320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/22320

Therefore, the GCF of Fractions 949/496,4732/180 is 13/22320

Least Common Multiple of 496,180 with GCF Formula

Least Common Multiple of 496,180 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 496,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,180) = 4

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

GCF(496,180) x common factors =4 x 1 = 4

LCM(496,180) = ( 496 × 180 ) / 4

LCM(496,180) = 89280 / 4

LCM(496,180) = 22320


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 949/496, 4732/180

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 949/496, 4732/180?

Answer: GCF of Numerators as per given numbers 949/496, 4732/180 is

GCF of Numerators i.e. for 949,4732 is 13

LCM of denominators i.e. for 496,180 is 22320.

Thus, GCF of Fractions is 13/22320.Finally, GCF of Fractions for 949/496, 4732/180 is 13/22320.