How to Find GCF of 9368/265, 8210/4722?

GCF of 9368/265, 8210/4722

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 9368/265, 8210/4722 i.e 2/1251330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9368/265, 8210/4722.

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 9368/265,8210/4722?

Given fractions are 9368/265,8210/4722

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 9368/265,8210/4722, numerators are 9368,8210

Denominators are 265,4722

The GCF of 9368,8210 is 2 .

LCM of 265,4722 is 1251330.

The greatest common factor of 9368/265,8210/4722 = [GCF of 9368,8210]/[LCM of 265,4722]= 2/1251330

Therefore, the GCF of 9368/265,8210/4722 is 2/1251330.

Greatest Common Factor of 9368,8210

To find the highest common factor of 9368,8210, we have to find the factors of both numbers and list the highest common factor.

The factors of 9368 are 1, 2, 4, 8, 1171, 2342, 4684, 9368

The factors of 8210 are 1, 2, 5, 10, 821, 1642, 4105, 8210

The HCF of 9368,8210 is 2.

Lets's calculate GCF of 9368,8210

Greatest Common Factor (GCF) of 9368,8210 By Common Division

2	9368, 8210
	4684, 4105

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

Greatest Common Factor of 9368,8210 By Matching Biggest Common Factor Method

Now, list down the factors of 9368

1,2,4,8,1171,2342,4684,9368

Now, list down the factors of 8210

1,2,5,10,821,1642,4105,8210

Greatest Common Factor

We found the factors 9368,8210 . The biggest common factor number is the GCF number.
So the greatest common factor 9368,8210 is 2.

Lets's calculate LCM of 265,4722

Lowest Common Multiple of 265,4722 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1251330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1251330

Therefore, the GCF of Fractions 9368/265,8210/4722 is 2/1251330

Least Common Multiple of 265,4722 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 265,4722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,4722) = 1

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

GCF(265,4722) x common factors =1 x 1 = 1

LCM(265,4722) = ( 265 × 4722 ) / 1

LCM(265,4722) = 1251330 / 1

LCM(265,4722) = 1251330

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FAQs on GCF of Fractions of 9368/265, 8210/4722

1. What is the HCF of 9368,8210?

The HCF of 9368,8210 is 2

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 9368/265, 8210/4722?

Answer: GCF of Numerators as per given numbers 9368/265, 8210/4722 is

GCF of Numerators i.e. for 9368,8210 is 2

LCM of denominators i.e. for 265,4722 is 1251330.

Thus, GCF of Fractions is 2/1251330.Finally, GCF of Fractions for 9368/265, 8210/4722 is 2/1251330.