Greatest Common Factor of 167/996, 1837/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 167/996, 1837/848

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 167/996,1837/848

Given fractions are 167/996,1837/848

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 167,1837

Greatest Common Factor of Numerators i.e. GCF of 167,1837 is 167 .

LCM of Denominators means LCM of 996,848 as per the given fractions.

LCM of 996,848 is 211152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 167,1837

GCF of Fractions 167/996,1837/848 is 167/211152

167 167, 1837
1, 11

∴ So the GCF of the given numbers is 167 = 167

Greatest Common Factor of 167,1837 By Matching Biggest Common Factor Method

Greatest Common Factor of 167,1837 By Matching Biggest Common Factor Method

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 1837

List of positive integer factors of 1837 that divides 1837 without a remainder.

1,11,167,1837

Greatest Common Factor

We found the factors 167,1837 . The biggest common factor number is the GCF number.
So the greatest common factor 167,1837 is 167.

Lets's calculate LCM of 996,848

2 996, 848
2 498, 424
249, 212

∴ So the LCM of the given numbers is 2 x 2 x 249 x 212 = 211152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 167/211152

Therefore, the GCF of Fractions 167/996,1837/848 is 167/211152

Least Common Multiple of 996,848 with GCF Formula

Least Common Multiple of 996,848 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 996,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,848) = 4

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

GCF(996,848) x common factors =4 x 1 = 4

LCM(996,848) = ( 996 × 848 ) / 4

LCM(996,848) = 844608 / 4

LCM(996,848) = 211152


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 167/996, 1837/848

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 167/996, 1837/848?

Answer: GCF of Numerators as per given numbers 167/996, 1837/848 is

GCF of Numerators i.e. for 167,1837 is 167

LCM of denominators i.e. for 996,848 is 211152.

Thus, GCF of Fractions is 167/211152.Finally, GCF of Fractions for 167/996, 1837/848 is 167/211152.