Greatest Common Factor of 9422/249, 8658/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9422/249, 8658/488

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 9422/249,8658/488

Given fractions are 9422/249,8658/488

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 9422,8658

Greatest Common Factor of Numerators i.e. GCF of 9422,8658 is 2 .

LCM of Denominators means LCM of 249,488 as per the given fractions.

LCM of 249,488 is 121512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9422,8658

GCF of Fractions 9422/249,8658/488 is 2/121512

2 9422, 8658
4711, 4329

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

Greatest Common Factor of 9422,8658 By Matching Biggest Common Factor Method

Greatest Common Factor of 9422,8658 By Matching Biggest Common Factor Method

Factors of 9422

List of positive integer factors of 9422 that divides 9422 without a remainder.

1,2,7,14,673,1346,4711,9422

Factors of 8658

List of positive integer factors of 8658 that divides 8658 without a remainder.

1,2,3,6,9,13,18,26,37,39,74,78,111,117,222,234,333,481,666,962,1443,2886,4329,8658

Greatest Common Factor

We found the factors 9422,8658 . The biggest common factor number is the GCF number.
So the greatest common factor 9422,8658 is 2.

Lets's calculate LCM of 249,488

Given numbers has no common factors except 1. So, there LCM is their product i.e 121512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/121512

Therefore, the GCF of Fractions 9422/249,8658/488 is 2/121512

Least Common Multiple of 249,488 with GCF Formula

Least Common Multiple of 249,488 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 249,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,488) = 1

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

GCF(249,488) x common factors =1 x 1 = 1

LCM(249,488) = ( 249 × 488 ) / 1

LCM(249,488) = 121512 / 1

LCM(249,488) = 121512


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 9422/249, 8658/488

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 9422/249, 8658/488?

Answer: GCF of Numerators as per given numbers 9422/249, 8658/488 is

GCF of Numerators i.e. for 9422,8658 is 2

LCM of denominators i.e. for 249,488 is 121512.

Thus, GCF of Fractions is 2/121512.Finally, GCF of Fractions for 9422/249, 8658/488 is 2/121512.