Greatest Common Factor of 851/5609, 185/7176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 851/5609, 185/7176

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 851/5609,185/7176

Given fractions are 851/5609,185/7176

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 851,185

Greatest Common Factor of Numerators i.e. GCF of 851,185 is 37 .

LCM of Denominators means LCM of 5609,7176 as per the given fractions.

LCM of 5609,7176 is 40250184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 851,185

GCF of Fractions 851/5609,185/7176 is 37/40250184

37 851, 185
23, 5

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 851,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,185 By Matching Biggest Common Factor Method

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 851,185 . The biggest common factor number is the GCF number.
So the greatest common factor 851,185 is 37.

Lets's calculate LCM of 5609,7176

Given numbers has no common factors except 1. So, there LCM is their product i.e 40250184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/40250184

Therefore, the GCF of Fractions 851/5609,185/7176 is 37/40250184

Least Common Multiple of 5609,7176 with GCF Formula

Least Common Multiple of 5609,7176 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 5609,7176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5609,7176) = 1

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

GCF(5609,7176) x common factors =1 x 1 = 1

LCM(5609,7176) = ( 5609 × 7176 ) / 1

LCM(5609,7176) = 40250184 / 1

LCM(5609,7176) = 40250184


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 851/5609, 185/7176

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 851/5609, 185/7176?

Answer: GCF of Numerators as per given numbers 851/5609, 185/7176 is

GCF of Numerators i.e. for 851,185 is 37

LCM of denominators i.e. for 5609,7176 is 40250184.

Thus, GCF of Fractions is 37/40250184.Finally, GCF of Fractions for 851/5609, 185/7176 is 37/40250184.