How to Find GCF of 9232/213, 8876/6344?

GCF of 9232/213, 8876/6344

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 9232/213, 8876/6344 i.e 4/1351272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9232/213, 8876/6344.

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 9232/213,8876/6344?

Given fractions are 9232/213,8876/6344

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 9232/213,8876/6344, numerators are 9232,8876

Denominators are 213,6344

The GCF of 9232,8876 is 4 .

LCM of 213,6344 is 1351272.

The greatest common factor of 9232/213,8876/6344 = [GCF of 9232,8876]/[LCM of 213,6344]= 4/1351272

Therefore, the GCF of 9232/213,8876/6344 is 4/1351272.

Greatest Common Factor of 9232,8876

To find the highest common factor of 9232,8876, we have to find the factors of both numbers and list the highest common factor.

The factors of 9232 are 1, 2, 4, 8, 16, 577, 1154, 2308, 4616, 9232

The factors of 8876 are 1, 2, 4, 7, 14, 28, 317, 634, 1268, 2219, 4438, 8876

The HCF of 9232,8876 is 4.

Lets's calculate GCF of 9232,8876

Greatest Common Factor (GCF) of 9232,8876 By Common Division

2	9232, 8876
2	4616, 4438
	2308, 2219

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

Greatest Common Factor of 9232,8876 By Matching Biggest Common Factor Method

Now, list down the factors of 9232

1,2,4,8,16,577,1154,2308,4616,9232

Now, list down the factors of 8876

1,2,4,7,14,28,317,634,1268,2219,4438,8876

Greatest Common Factor

We found the factors 9232,8876 . The biggest common factor number is the GCF number.
So the greatest common factor 9232,8876 is 4.

Lets's calculate LCM of 213,6344

Lowest Common Multiple of 213,6344 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1351272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1351272

Therefore, the GCF of Fractions 9232/213,8876/6344 is 4/1351272

Least Common Multiple of 213,6344 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 213,6344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,6344) = 1

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

GCF(213,6344) x common factors =1 x 1 = 1

LCM(213,6344) = ( 213 × 6344 ) / 1

LCM(213,6344) = 1351272 / 1

LCM(213,6344) = 1351272

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FAQs on GCF of Fractions of 9232/213, 8876/6344

1. What is the HCF of 9232,8876?

The HCF of 9232,8876 is 4

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 9232/213, 8876/6344?

Answer: GCF of Numerators as per given numbers 9232/213, 8876/6344 is

GCF of Numerators i.e. for 9232,8876 is 4

LCM of denominators i.e. for 213,6344 is 1351272.

Thus, GCF of Fractions is 4/1351272.Finally, GCF of Fractions for 9232/213, 8876/6344 is 4/1351272.