Greatest Common Factor of 69/150, 122/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/150, 122/998

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 69/150,122/998

Given fractions are 69/150,122/998

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 69,122

Greatest Common Factor of Numerators i.e. GCF of 69,122 is 1 .

LCM of Denominators means LCM of 150,998 as per the given fractions.

LCM of 150,998 is 74850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,122

GCF of Fractions 69/150,122/998 is 1/74850

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

Greatest Common Factor of 69,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,122 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 69,122 . The biggest common factor number is the GCF number.
So the greatest common factor 69,122 is 1.

Lets's calculate LCM of 150,998

2 150, 998
75, 499

∴ So the LCM of the given numbers is 2 x 75 x 499 = 74850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74850

Therefore, the GCF of Fractions 69/150,122/998 is 1/74850

Least Common Multiple of 150,998 with GCF Formula

Least Common Multiple of 150,998 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 150,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,998) = 2

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

GCF(150,998) x common factors =2 x 1 = 2

LCM(150,998) = ( 150 × 998 ) / 2

LCM(150,998) = 149700 / 2

LCM(150,998) = 74850


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 69/150, 122/998

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 69/150, 122/998?

Answer: GCF of Numerators as per given numbers 69/150, 122/998 is

GCF of Numerators i.e. for 69,122 is 1

LCM of denominators i.e. for 150,998 is 74850.

Thus, GCF of Fractions is 1/74850.Finally, GCF of Fractions for 69/150, 122/998 is 1/74850.