Greatest Common Factor of 7222/953, 9742/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7222/953, 9742/441

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 7222/953,9742/441

Given fractions are 7222/953,9742/441

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 7222,9742

Greatest Common Factor of Numerators i.e. GCF of 7222,9742 is 2 .

LCM of Denominators means LCM of 953,441 as per the given fractions.

LCM of 953,441 is 420273 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7222,9742

GCF of Fractions 7222/953,9742/441 is 2/420273

2 7222, 9742
3611, 4871

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

Greatest Common Factor of 7222,9742 By Matching Biggest Common Factor Method

Greatest Common Factor of 7222,9742 By Matching Biggest Common Factor Method

Factors of 7222

List of positive integer factors of 7222 that divides 7222 without a remainder.

1,2,23,46,157,314,3611,7222

Factors of 9742

List of positive integer factors of 9742 that divides 9742 without a remainder.

1,2,4871,9742

Greatest Common Factor

We found the factors 7222,9742 . The biggest common factor number is the GCF number.
So the greatest common factor 7222,9742 is 2.

Lets's calculate LCM of 953,441

Given numbers has no common factors except 1. So, there LCM is their product i.e 420273

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/420273

Therefore, the GCF of Fractions 7222/953,9742/441 is 2/420273

Least Common Multiple of 953,441 with GCF Formula

Least Common Multiple of 953,441 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 953,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(953,441) = 1

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

GCF(953,441) x common factors =1 x 1 = 1

LCM(953,441) = ( 953 × 441 ) / 1

LCM(953,441) = 420273 / 1

LCM(953,441) = 420273


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 7222/953, 9742/441

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 7222/953, 9742/441?

Answer: GCF of Numerators as per given numbers 7222/953, 9742/441 is

GCF of Numerators i.e. for 7222,9742 is 2

LCM of denominators i.e. for 953,441 is 420273.

Thus, GCF of Fractions is 2/420273.Finally, GCF of Fractions for 7222/953, 9742/441 is 2/420273.