Greatest Common Factor of 8168/175, 6249/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8168/175, 6249/212

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 8168/175,6249/212

Given fractions are 8168/175,6249/212

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 8168,6249

Greatest Common Factor of Numerators i.e. GCF of 8168,6249 is 1 .

LCM of Denominators means LCM of 175,212 as per the given fractions.

LCM of 175,212 is 37100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8168,6249

GCF of Fractions 8168/175,6249/212 is 1/37100

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

Greatest Common Factor of 8168,6249 By Matching Biggest Common Factor Method

Greatest Common Factor of 8168,6249 By Matching Biggest Common Factor Method

Factors of 8168

List of positive integer factors of 8168 that divides 8168 without a remainder.

1,2,4,8,1021,2042,4084,8168

Factors of 6249

List of positive integer factors of 6249 that divides 6249 without a remainder.

1,3,2083,6249

Greatest Common Factor

We found the factors 8168,6249 . The biggest common factor number is the GCF number.
So the greatest common factor 8168,6249 is 1.

Lets's calculate LCM of 175,212

Given numbers has no common factors except 1. So, there LCM is their product i.e 37100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37100

Therefore, the GCF of Fractions 8168/175,6249/212 is 1/37100

Least Common Multiple of 175,212 with GCF Formula

Least Common Multiple of 175,212 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 175,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,212) = 1

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

GCF(175,212) x common factors =1 x 1 = 1

LCM(175,212) = ( 175 × 212 ) / 1

LCM(175,212) = 37100 / 1

LCM(175,212) = 37100


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 8168/175, 6249/212

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 8168/175, 6249/212?

Answer: GCF of Numerators as per given numbers 8168/175, 6249/212 is

GCF of Numerators i.e. for 8168,6249 is 1

LCM of denominators i.e. for 175,212 is 37100.

Thus, GCF of Fractions is 1/37100.Finally, GCF of Fractions for 8168/175, 6249/212 is 1/37100.