How to Find GCF of 7377/957, 2224/8353?

GCF of 7377/957, 2224/8353

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 7377/957, 2224/8353 i.e 1/7993821 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7377/957, 2224/8353.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 7377/957,2224/8353?

Given fractions are 7377/957,2224/8353

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 7377/957,2224/8353, numerators are 7377,2224

Denominators are 957,8353

The GCF of 7377,2224 is 1 .

LCM of 957,8353 is 7993821.

The greatest common factor of 7377/957,2224/8353 = [GCF of 7377,2224]/[LCM of 957,8353]= 1/7993821

Therefore, the GCF of 7377/957,2224/8353 is 1/7993821.

Greatest Common Factor of 7377,2224

To find the highest common factor of 7377,2224, we have to find the factors of both numbers and list the highest common factor.

The factors of 7377 are 1, 3, 2459, 7377

The factors of 2224 are 1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224

The HCF of 7377,2224 is 1.

Lets's calculate GCF of 7377,2224

Greatest Common Factor (GCF) of 7377,2224 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7377,2224 By Matching Biggest Common Factor Method

Now, list down the factors of 7377

1,3,2459,7377

Now, list down the factors of 2224

1,2,4,8,16,139,278,556,1112,2224

Greatest Common Factor

We found the factors 7377,2224 . The biggest common factor number is the GCF number.
So the greatest common factor 7377,2224 is 1.

Lets's calculate LCM of 957,8353

Lowest Common Multiple of 957,8353 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7993821

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7993821

Therefore, the GCF of Fractions 7377/957,2224/8353 is 1/7993821

Least Common Multiple of 957,8353 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 957,8353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(957,8353) = 1

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

GCF(957,8353) x common factors =1 x 1 = 1

LCM(957,8353) = ( 957 × 8353 ) / 1

LCM(957,8353) = 7993821 / 1

LCM(957,8353) = 7993821

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FAQs on GCF of Fractions of 7377/957, 2224/8353

1. What is the HCF of 7377,2224?

The HCF of 7377,2224 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 7377/957, 2224/8353?

Answer: GCF of Numerators as per given numbers 7377/957, 2224/8353 is

GCF of Numerators i.e. for 7377,2224 is 1

LCM of denominators i.e. for 957,8353 is 7993821.

Thus, GCF of Fractions is 1/7993821.Finally, GCF of Fractions for 7377/957, 2224/8353 is 1/7993821.