How to Find GCF of 8171/772, 8836/9358?

GCF of 8171/772, 8836/9358

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 8171/772, 8836/9358 i.e 1/3612188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8171/772, 8836/9358.

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 8171/772,8836/9358?

Given fractions are 8171/772,8836/9358

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 8171/772,8836/9358, numerators are 8171,8836

Denominators are 772,9358

The GCF of 8171,8836 is 1 .

LCM of 772,9358 is 3612188.

The greatest common factor of 8171/772,8836/9358 = [GCF of 8171,8836]/[LCM of 772,9358]= 1/3612188

Therefore, the GCF of 8171/772,8836/9358 is 1/3612188.

Greatest Common Factor of 8171,8836

To find the highest common factor of 8171,8836, we have to find the factors of both numbers and list the highest common factor.

The factors of 8171 are 1, 8171

The factors of 8836 are 1, 2, 4, 47, 94, 188, 2209, 4418, 8836

The HCF of 8171,8836 is 1.

Lets's calculate GCF of 8171,8836

Greatest Common Factor (GCF) of 8171,8836 By Common Division

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

Greatest Common Factor of 8171,8836 By Matching Biggest Common Factor Method

Now, list down the factors of 8171

1,8171

Now, list down the factors of 8836

1,2,4,47,94,188,2209,4418,8836

Greatest Common Factor

We found the factors 8171,8836 . The biggest common factor number is the GCF number.
So the greatest common factor 8171,8836 is 1.

Lets's calculate LCM of 772,9358

Lowest Common Multiple of 772,9358 using Common Division

2	772, 9358
	386, 4679

∴ So the LCM of the given numbers is 2 x 386 x 4679 = 3612188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3612188

Therefore, the GCF of Fractions 8171/772,8836/9358 is 1/3612188

Least Common Multiple of 772,9358 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 772,9358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,9358) = 2

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

GCF(772,9358) x common factors =2 x 1 = 2

LCM(772,9358) = ( 772 × 9358 ) / 2

LCM(772,9358) = 7224376 / 2

LCM(772,9358) = 3612188

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8171/772, 8836/9358

1. What is the HCF of 8171,8836?

The HCF of 8171,8836 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 8171/772, 8836/9358?

Answer: GCF of Numerators as per given numbers 8171/772, 8836/9358 is

GCF of Numerators i.e. for 8171,8836 is 1

LCM of denominators i.e. for 772,9358 is 3612188.

Thus, GCF of Fractions is 1/3612188.Finally, GCF of Fractions for 8171/772, 8836/9358 is 1/3612188.