Greatest Common Factor of 8143/62, 9738/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8143/62, 9738/167

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 8143/62,9738/167

Given fractions are 8143/62,9738/167

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 8143,9738

Greatest Common Factor of Numerators i.e. GCF of 8143,9738 is 1 .

LCM of Denominators means LCM of 62,167 as per the given fractions.

LCM of 62,167 is 10354 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8143,9738

GCF of Fractions 8143/62,9738/167 is 1/10354

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

Greatest Common Factor of 8143,9738 By Matching Biggest Common Factor Method

Greatest Common Factor of 8143,9738 By Matching Biggest Common Factor Method

Factors of 8143

List of positive integer factors of 8143 that divides 8143 without a remainder.

1,17,479,8143

Factors of 9738

List of positive integer factors of 9738 that divides 9738 without a remainder.

1,2,3,6,9,18,541,1082,1623,3246,4869,9738

Greatest Common Factor

We found the factors 8143,9738 . The biggest common factor number is the GCF number.
So the greatest common factor 8143,9738 is 1.

Lets's calculate LCM of 62,167

Given numbers has no common factors except 1. So, there LCM is their product i.e 10354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10354

Therefore, the GCF of Fractions 8143/62,9738/167 is 1/10354

Least Common Multiple of 62,167 with GCF Formula

Least Common Multiple of 62,167 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 62,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,167) = 1

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

GCF(62,167) x common factors =1 x 1 = 1

LCM(62,167) = ( 62 × 167 ) / 1

LCM(62,167) = 10354 / 1

LCM(62,167) = 10354


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 8143/62, 9738/167

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 8143/62, 9738/167?

Answer: GCF of Numerators as per given numbers 8143/62, 9738/167 is

GCF of Numerators i.e. for 8143,9738 is 1

LCM of denominators i.e. for 62,167 is 10354.

Thus, GCF of Fractions is 1/10354.Finally, GCF of Fractions for 8143/62, 9738/167 is 1/10354.