Greatest Common Factor of 9224/49, 4636/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9224/49, 4636/338

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 9224/49,4636/338

Given fractions are 9224/49,4636/338

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 9224,4636

Greatest Common Factor of Numerators i.e. GCF of 9224,4636 is 4 .

LCM of Denominators means LCM of 49,338 as per the given fractions.

LCM of 49,338 is 16562 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9224,4636

GCF of Fractions 9224/49,4636/338 is 4/16562

2 9224, 4636
2 4612, 2318
2306, 1159

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9224,4636 By Matching Biggest Common Factor Method

Greatest Common Factor of 9224,4636 By Matching Biggest Common Factor Method

Factors of 9224

List of positive integer factors of 9224 that divides 9224 without a remainder.

1,2,4,8,1153,2306,4612,9224

Factors of 4636

List of positive integer factors of 4636 that divides 4636 without a remainder.

1,2,4,19,38,61,76,122,244,1159,2318,4636

Greatest Common Factor

We found the factors 9224,4636 . The biggest common factor number is the GCF number.
So the greatest common factor 9224,4636 is 4.

Lets's calculate LCM of 49,338

Given numbers has no common factors except 1. So, there LCM is their product i.e 16562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/16562

Therefore, the GCF of Fractions 9224/49,4636/338 is 4/16562

Least Common Multiple of 49,338 with GCF Formula

Least Common Multiple of 49,338 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 49,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,338) = 1

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

GCF(49,338) x common factors =1 x 1 = 1

LCM(49,338) = ( 49 × 338 ) / 1

LCM(49,338) = 16562 / 1

LCM(49,338) = 16562


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 9224/49, 4636/338

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 9224/49, 4636/338?

Answer: GCF of Numerators as per given numbers 9224/49, 4636/338 is

GCF of Numerators i.e. for 9224,4636 is 4

LCM of denominators i.e. for 49,338 is 16562.

Thus, GCF of Fractions is 4/16562.Finally, GCF of Fractions for 9224/49, 4636/338 is 4/16562.