Greatest Common Factor of 7238/785, 1044/9947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7238/785, 1044/9947

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 7238/785,1044/9947

Given fractions are 7238/785,1044/9947

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 7238,1044

Greatest Common Factor of Numerators i.e. GCF of 7238,1044 is 2 .

LCM of Denominators means LCM of 785,9947 as per the given fractions.

LCM of 785,9947 is 7808395 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7238,1044

GCF of Fractions 7238/785,1044/9947 is 2/7808395

2 7238, 1044
3619, 522

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

Greatest Common Factor of 7238,1044 By Matching Biggest Common Factor Method

Greatest Common Factor of 7238,1044 By Matching Biggest Common Factor Method

Factors of 7238

List of positive integer factors of 7238 that divides 7238 without a remainder.

1,2,7,11,14,22,47,77,94,154,329,517,658,1034,3619,7238

Factors of 1044

List of positive integer factors of 1044 that divides 1044 without a remainder.

1,2,3,4,6,9,12,18,29,36,58,87,116,174,261,348,522,1044

Greatest Common Factor

We found the factors 7238,1044 . The biggest common factor number is the GCF number.
So the greatest common factor 7238,1044 is 2.

Lets's calculate LCM of 785,9947

Given numbers has no common factors except 1. So, there LCM is their product i.e 7808395

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7808395

Therefore, the GCF of Fractions 7238/785,1044/9947 is 2/7808395

Least Common Multiple of 785,9947 with GCF Formula

Least Common Multiple of 785,9947 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 785,9947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,9947) = 1

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

GCF(785,9947) x common factors =1 x 1 = 1

LCM(785,9947) = ( 785 × 9947 ) / 1

LCM(785,9947) = 7808395 / 1

LCM(785,9947) = 7808395


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 7238/785, 1044/9947

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 7238/785, 1044/9947?

Answer: GCF of Numerators as per given numbers 7238/785, 1044/9947 is

GCF of Numerators i.e. for 7238,1044 is 2

LCM of denominators i.e. for 785,9947 is 7808395.

Thus, GCF of Fractions is 2/7808395.Finally, GCF of Fractions for 7238/785, 1044/9947 is 2/7808395.