Greatest Common Factor of 5250/213, 9893/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5250/213, 9893/176

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 5250/213,9893/176

Given fractions are 5250/213,9893/176

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 5250,9893

Greatest Common Factor of Numerators i.e. GCF of 5250,9893 is 1 .

LCM of Denominators means LCM of 213,176 as per the given fractions.

LCM of 213,176 is 37488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5250,9893

GCF of Fractions 5250/213,9893/176 is 1/37488

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5250,9893 By Matching Biggest Common Factor Method

Greatest Common Factor of 5250,9893 By Matching Biggest Common Factor Method

Factors of 5250

List of positive integer factors of 5250 that divides 5250 without a remainder.

1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,125,150,175,210,250,350,375,525,750,875,1050,1750,2625,5250

Factors of 9893

List of positive integer factors of 9893 that divides 9893 without a remainder.

1,13,761,9893

Greatest Common Factor

We found the factors 5250,9893 . The biggest common factor number is the GCF number.
So the greatest common factor 5250,9893 is 1.

Lets's calculate LCM of 213,176

Given numbers has no common factors except 1. So, there LCM is their product i.e 37488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37488

Therefore, the GCF of Fractions 5250/213,9893/176 is 1/37488

Least Common Multiple of 213,176 with GCF Formula

Least Common Multiple of 213,176 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 213,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,176) = 1

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

GCF(213,176) x common factors =1 x 1 = 1

LCM(213,176) = ( 213 × 176 ) / 1

LCM(213,176) = 37488 / 1

LCM(213,176) = 37488


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 5250/213, 9893/176

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 5250/213, 9893/176?

Answer: GCF of Numerators as per given numbers 5250/213, 9893/176 is

GCF of Numerators i.e. for 5250,9893 is 1

LCM of denominators i.e. for 213,176 is 37488.

Thus, GCF of Fractions is 1/37488.Finally, GCF of Fractions for 5250/213, 9893/176 is 1/37488.