How to Find GCF of 9567/868, 8186/3826?

GCF of 9567/868, 8186/3826

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 9567/868, 8186/3826 i.e 1/1660484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9567/868, 8186/3826.

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 9567/868,8186/3826?

Given fractions are 9567/868,8186/3826

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 9567/868,8186/3826, numerators are 9567,8186

Denominators are 868,3826

The GCF of 9567,8186 is 1 .

LCM of 868,3826 is 1660484.

The greatest common factor of 9567/868,8186/3826 = [GCF of 9567,8186]/[LCM of 868,3826]= 1/1660484

Therefore, the GCF of 9567/868,8186/3826 is 1/1660484.

Greatest Common Factor of 9567,8186

To find the highest common factor of 9567,8186, we have to find the factors of both numbers and list the highest common factor.

The factors of 9567 are 1, 3, 9, 1063, 3189, 9567

The factors of 8186 are 1, 2, 4093, 8186

The HCF of 9567,8186 is 1.

Lets's calculate GCF of 9567,8186

Greatest Common Factor (GCF) of 9567,8186 By Common Division

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

Greatest Common Factor of 9567,8186 By Matching Biggest Common Factor Method

Now, list down the factors of 9567

1,3,9,1063,3189,9567

Now, list down the factors of 8186

1,2,4093,8186

Greatest Common Factor

We found the factors 9567,8186 . The biggest common factor number is the GCF number.
So the greatest common factor 9567,8186 is 1.

Lets's calculate LCM of 868,3826

Lowest Common Multiple of 868,3826 using Common Division

2	868, 3826
	434, 1913

∴ So the LCM of the given numbers is 2 x 434 x 1913 = 1660484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1660484

Therefore, the GCF of Fractions 9567/868,8186/3826 is 1/1660484

Least Common Multiple of 868,3826 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 868,3826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,3826) = 2

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

GCF(868,3826) x common factors =2 x 1 = 2

LCM(868,3826) = ( 868 × 3826 ) / 2

LCM(868,3826) = 3320968 / 2

LCM(868,3826) = 1660484

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FAQs on GCF of Fractions of 9567/868, 8186/3826

1. What is the HCF of 9567,8186?

The HCF of 9567,8186 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 9567/868, 8186/3826?

Answer: GCF of Numerators as per given numbers 9567/868, 8186/3826 is

GCF of Numerators i.e. for 9567,8186 is 1

LCM of denominators i.e. for 868,3826 is 1660484.

Thus, GCF of Fractions is 1/1660484.Finally, GCF of Fractions for 9567/868, 8186/3826 is 1/1660484.