Greatest Common Factor of 4953/504, 1992/1768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4953/504, 1992/1768

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 4953/504,1992/1768

Given fractions are 4953/504,1992/1768

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 4953,1992

Greatest Common Factor of Numerators i.e. GCF of 4953,1992 is 3 .

LCM of Denominators means LCM of 504,1768 as per the given fractions.

LCM of 504,1768 is 111384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4953,1992

GCF of Fractions 4953/504,1992/1768 is 3/111384

3 4953, 1992
1651, 664

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4953,1992 By Matching Biggest Common Factor Method

Greatest Common Factor of 4953,1992 By Matching Biggest Common Factor Method

Factors of 4953

List of positive integer factors of 4953 that divides 4953 without a remainder.

1,3,13,39,127,381,1651,4953

Factors of 1992

List of positive integer factors of 1992 that divides 1992 without a remainder.

1,2,3,4,6,8,12,24,83,166,249,332,498,664,996,1992

Greatest Common Factor

We found the factors 4953,1992 . The biggest common factor number is the GCF number.
So the greatest common factor 4953,1992 is 3.

Lets's calculate LCM of 504,1768

2 504, 1768
2 252, 884
2 126, 442
63, 221

∴ So the LCM of the given numbers is 2 x 2 x 2 x 63 x 221 = 111384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/111384

Therefore, the GCF of Fractions 4953/504,1992/1768 is 3/111384

Least Common Multiple of 504,1768 with GCF Formula

Least Common Multiple of 504,1768 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 504,1768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,1768) = 8

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

GCF(504,1768) x common factors =8 x 1 = 8

LCM(504,1768) = ( 504 × 1768 ) / 8

LCM(504,1768) = 891072 / 8

LCM(504,1768) = 111384


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 4953/504, 1992/1768

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 4953/504, 1992/1768?

Answer: GCF of Numerators as per given numbers 4953/504, 1992/1768 is

GCF of Numerators i.e. for 4953,1992 is 3

LCM of denominators i.e. for 504,1768 is 111384.

Thus, GCF of Fractions is 3/111384.Finally, GCF of Fractions for 4953/504, 1992/1768 is 3/111384.