Greatest Common Factor of 5253/47, 1965/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5253/47, 1965/169

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 5253/47,1965/169

Given fractions are 5253/47,1965/169

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 5253,1965

Greatest Common Factor of Numerators i.e. GCF of 5253,1965 is 3 .

LCM of Denominators means LCM of 47,169 as per the given fractions.

LCM of 47,169 is 7943 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5253,1965

GCF of Fractions 5253/47,1965/169 is 3/7943

3 5253, 1965
1751, 655

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

Greatest Common Factor of 5253,1965 By Matching Biggest Common Factor Method

Greatest Common Factor of 5253,1965 By Matching Biggest Common Factor Method

Factors of 5253

List of positive integer factors of 5253 that divides 5253 without a remainder.

1,3,17,51,103,309,1751,5253

Factors of 1965

List of positive integer factors of 1965 that divides 1965 without a remainder.

1,3,5,15,131,393,655,1965

Greatest Common Factor

We found the factors 5253,1965 . The biggest common factor number is the GCF number.
So the greatest common factor 5253,1965 is 3.

Lets's calculate LCM of 47,169

Given numbers has no common factors except 1. So, there LCM is their product i.e 7943

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7943

Therefore, the GCF of Fractions 5253/47,1965/169 is 3/7943

Least Common Multiple of 47,169 with GCF Formula

Least Common Multiple of 47,169 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 47,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,169) = 1

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

GCF(47,169) x common factors =1 x 1 = 1

LCM(47,169) = ( 47 × 169 ) / 1

LCM(47,169) = 7943 / 1

LCM(47,169) = 7943


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 5253/47, 1965/169

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 5253/47, 1965/169?

Answer: GCF of Numerators as per given numbers 5253/47, 1965/169 is

GCF of Numerators i.e. for 5253,1965 is 3

LCM of denominators i.e. for 47,169 is 7943.

Thus, GCF of Fractions is 3/7943.Finally, GCF of Fractions for 5253/47, 1965/169 is 3/7943.