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GCF of 8915/262, 3274/2718

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 8915/262, 3274/2718 i.e 1/356058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8915/262, 3274/2718.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 8915/262,3274/2718?

Given fractions are 8915/262,3274/2718

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 8915/262,3274/2718, numerators are 8915,3274

Denominators are 262,2718

The GCF of 8915,3274 is 1 .

LCM of 262,2718 is 356058.

The greatest common factor of 8915/262,3274/2718 = [GCF of 8915,3274]/[LCM of 262,2718]= 1/356058

Therefore, the GCF of 8915/262,3274/2718 is 1/356058.

Greatest Common Factor of 8915,3274

To find the highest common factor of 8915,3274, we have to find the factors of both numbers and list the highest common factor.

The factors of 8915 are 1, 5, 1783, 8915

The factors of 3274 are 1, 2, 1637, 3274

The HCF of 8915,3274 is 1.

Lets's calculate GCF of 8915,3274

Greatest Common Factor (GCF) of 8915,3274 By Common Division

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

Greatest Common Factor of 8915,3274 By Matching Biggest Common Factor Method

Greatest Common Factor of 8915,3274 By Matching Biggest Common Factor Method

Now, list down the factors of 8915

:

1,5,1783,8915

Now, list down the factors of 3274

:

1,2,1637,3274

Greatest Common Factor

We found the factors 8915,3274 . The biggest common factor number is the GCF number.
So the greatest common factor 8915,3274 is 1.

Lets's calculate LCM of 262,2718

Lowest Common Multiple of 262,2718 using Common Division

2 262, 2718
131, 1359

∴ So the LCM of the given numbers is 2 x 131 x 1359 = 356058

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/356058

Therefore, the GCF of Fractions 8915/262,3274/2718 is 1/356058

Least Common Multiple of 262,2718 with GCF Formula

Least Common Multiple of 262,2718 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 262,2718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,2718) = 2

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

GCF(262,2718) x common factors =2 x 1 = 2

LCM(262,2718) = ( 262 × 2718 ) / 2

LCM(262,2718) = 712116 / 2

LCM(262,2718) = 356058


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8915/262, 3274/2718

1. What is the HCF of 8915,3274?

The HCF of 8915,3274 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 8915/262, 3274/2718?

Answer: GCF of Numerators as per given numbers 8915/262, 3274/2718 is

GCF of Numerators i.e. for 8915,3274 is 1

LCM of denominators i.e. for 262,2718 is 356058.

Thus, GCF of Fractions is 1/356058.Finally, GCF of Fractions for 8915/262, 3274/2718 is 1/356058.