Greatest Common Factor of 1225/404, 9947/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1225/404, 9947/296

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 1225/404,9947/296

Given fractions are 1225/404,9947/296

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 1225,9947

Greatest Common Factor of Numerators i.e. GCF of 1225,9947 is 49 .

LCM of Denominators means LCM of 404,296 as per the given fractions.

LCM of 404,296 is 29896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1225,9947

GCF of Fractions 1225/404,9947/296 is 49/29896

7 1225, 9947
7 175, 1421
25, 203

∴ So the GCF of the given numbers is 7 x 7 = 49

Greatest Common Factor of 1225,9947 By Matching Biggest Common Factor Method

Greatest Common Factor of 1225,9947 By Matching Biggest Common Factor Method

Factors of 1225

List of positive integer factors of 1225 that divides 1225 without a remainder.

1,5,7,25,35,49,175,245,1225

Factors of 9947

List of positive integer factors of 9947 that divides 9947 without a remainder.

1,7,29,49,203,343,1421,9947

Greatest Common Factor

We found the factors 1225,9947 . The biggest common factor number is the GCF number.
So the greatest common factor 1225,9947 is 49.

Lets's calculate LCM of 404,296

2 404, 296
2 202, 148
101, 74

∴ So the LCM of the given numbers is 2 x 2 x 101 x 74 = 29896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/29896

Therefore, the GCF of Fractions 1225/404,9947/296 is 49/29896

Least Common Multiple of 404,296 with GCF Formula

Least Common Multiple of 404,296 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 404,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,296) = 4

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

GCF(404,296) x common factors =4 x 1 = 4

LCM(404,296) = ( 404 × 296 ) / 4

LCM(404,296) = 119584 / 4

LCM(404,296) = 29896


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 1225/404, 9947/296

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 1225/404, 9947/296?

Answer: GCF of Numerators as per given numbers 1225/404, 9947/296 is

GCF of Numerators i.e. for 1225,9947 is 49

LCM of denominators i.e. for 404,296 is 29896.

Thus, GCF of Fractions is 49/29896.Finally, GCF of Fractions for 1225/404, 9947/296 is 49/29896.