Greatest Common Factor of 5202/701, 2133/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5202/701, 2133/948

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 5202/701,2133/948

Given fractions are 5202/701,2133/948

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 5202,2133

Greatest Common Factor of Numerators i.e. GCF of 5202,2133 is 9 .

LCM of Denominators means LCM of 701,948 as per the given fractions.

LCM of 701,948 is 664548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5202,2133

GCF of Fractions 5202/701,2133/948 is 9/664548

3 5202, 2133
3 1734, 711
578, 237

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 5202,2133 By Matching Biggest Common Factor Method

Greatest Common Factor of 5202,2133 By Matching Biggest Common Factor Method

Factors of 5202

List of positive integer factors of 5202 that divides 5202 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,289,306,578,867,1734,2601,5202

Factors of 2133

List of positive integer factors of 2133 that divides 2133 without a remainder.

1,3,9,27,79,237,711,2133

Greatest Common Factor

We found the factors 5202,2133 . The biggest common factor number is the GCF number.
So the greatest common factor 5202,2133 is 9.

Lets's calculate LCM of 701,948

Given numbers has no common factors except 1. So, there LCM is their product i.e 664548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/664548

Therefore, the GCF of Fractions 5202/701,2133/948 is 9/664548

Least Common Multiple of 701,948 with GCF Formula

Least Common Multiple of 701,948 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 701,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,948) = 1

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

GCF(701,948) x common factors =1 x 1 = 1

LCM(701,948) = ( 701 × 948 ) / 1

LCM(701,948) = 664548 / 1

LCM(701,948) = 664548


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 5202/701, 2133/948

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 5202/701, 2133/948?

Answer: GCF of Numerators as per given numbers 5202/701, 2133/948 is

GCF of Numerators i.e. for 5202,2133 is 9

LCM of denominators i.e. for 701,948 is 664548.

Thus, GCF of Fractions is 9/664548.Finally, GCF of Fractions for 5202/701, 2133/948 is 9/664548.