Greatest Common Factor of 1862/377, 8338/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1862/377, 8338/167

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 1862/377,8338/167

Given fractions are 1862/377,8338/167

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 1862,8338

Greatest Common Factor of Numerators i.e. GCF of 1862,8338 is 2 .

LCM of Denominators means LCM of 377,167 as per the given fractions.

LCM of 377,167 is 62959 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1862,8338

GCF of Fractions 1862/377,8338/167 is 2/62959

2 1862, 8338
931, 4169

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1862,8338 By Matching Biggest Common Factor Method

Greatest Common Factor of 1862,8338 By Matching Biggest Common Factor Method

Factors of 1862

List of positive integer factors of 1862 that divides 1862 without a remainder.

1,2,7,14,19,38,49,98,133,266,931,1862

Factors of 8338

List of positive integer factors of 8338 that divides 8338 without a remainder.

1,2,11,22,379,758,4169,8338

Greatest Common Factor

We found the factors 1862,8338 . The biggest common factor number is the GCF number.
So the greatest common factor 1862,8338 is 2.

Lets's calculate LCM of 377,167

Given numbers has no common factors except 1. So, there LCM is their product i.e 62959

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/62959

Therefore, the GCF of Fractions 1862/377,8338/167 is 2/62959

Least Common Multiple of 377,167 with GCF Formula

Least Common Multiple of 377,167 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 377,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,167) = 1

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

GCF(377,167) x common factors =1 x 1 = 1

LCM(377,167) = ( 377 × 167 ) / 1

LCM(377,167) = 62959 / 1

LCM(377,167) = 62959


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 1862/377, 8338/167

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 1862/377, 8338/167?

Answer: GCF of Numerators as per given numbers 1862/377, 8338/167 is

GCF of Numerators i.e. for 1862,8338 is 2

LCM of denominators i.e. for 377,167 is 62959.

Thus, GCF of Fractions is 2/62959.Finally, GCF of Fractions for 1862/377, 8338/167 is 2/62959.