Greatest Common Factor of 98/123, 840/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/123, 840/167

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 98/123,840/167

Given fractions are 98/123,840/167

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 98,840

Greatest Common Factor of Numerators i.e. GCF of 98,840 is 14 .

LCM of Denominators means LCM of 123,167 as per the given fractions.

LCM of 123,167 is 20541 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,840

GCF of Fractions 98/123,840/167 is 14/20541

2 98, 840
7 49, 420
7, 60

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 98,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,840 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 98,840 . The biggest common factor number is the GCF number.
So the greatest common factor 98,840 is 14.

Lets's calculate LCM of 123,167

Given numbers has no common factors except 1. So, there LCM is their product i.e 20541

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/20541

Therefore, the GCF of Fractions 98/123,840/167 is 14/20541

Least Common Multiple of 123,167 with GCF Formula

Least Common Multiple of 123,167 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 123,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,167) = 1

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

GCF(123,167) x common factors =1 x 1 = 1

LCM(123,167) = ( 123 × 167 ) / 1

LCM(123,167) = 20541 / 1

LCM(123,167) = 20541


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 98/123, 840/167

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 98/123, 840/167?

Answer: GCF of Numerators as per given numbers 98/123, 840/167 is

GCF of Numerators i.e. for 98,840 is 14

LCM of denominators i.e. for 123,167 is 20541.

Thus, GCF of Fractions is 14/20541.Finally, GCF of Fractions for 98/123, 840/167 is 14/20541.