How to Find GCF of 9187/827, 6826/8131?

GCF of 9187/827, 6826/8131

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 9187/827, 6826/8131 i.e 1/6724337 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9187/827, 6826/8131.

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 9187/827,6826/8131?

Given fractions are 9187/827,6826/8131

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 9187/827,6826/8131, numerators are 9187,6826

Denominators are 827,8131

The GCF of 9187,6826 is 1 .

LCM of 827,8131 is 6724337.

The greatest common factor of 9187/827,6826/8131 = [GCF of 9187,6826]/[LCM of 827,8131]= 1/6724337

Therefore, the GCF of 9187/827,6826/8131 is 1/6724337.

Greatest Common Factor of 9187,6826

To find the highest common factor of 9187,6826, we have to find the factors of both numbers and list the highest common factor.

The factors of 9187 are 1, 9187

The factors of 6826 are 1, 2, 3413, 6826

The HCF of 9187,6826 is 1.

Lets's calculate GCF of 9187,6826

Greatest Common Factor (GCF) of 9187,6826 By Common Division

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

Greatest Common Factor of 9187,6826 By Matching Biggest Common Factor Method

Now, list down the factors of 9187

1,9187

Now, list down the factors of 6826

1,2,3413,6826

Greatest Common Factor

We found the factors 9187,6826 . The biggest common factor number is the GCF number.
So the greatest common factor 9187,6826 is 1.

Lets's calculate LCM of 827,8131

Lowest Common Multiple of 827,8131 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6724337

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6724337

Therefore, the GCF of Fractions 9187/827,6826/8131 is 1/6724337

Least Common Multiple of 827,8131 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 827,8131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,8131) = 1

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

GCF(827,8131) x common factors =1 x 1 = 1

LCM(827,8131) = ( 827 × 8131 ) / 1

LCM(827,8131) = 6724337 / 1

LCM(827,8131) = 6724337

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FAQs on GCF of Fractions of 9187/827, 6826/8131

1. What is the HCF of 9187,6826?

The HCF of 9187,6826 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 9187/827, 6826/8131?

Answer: GCF of Numerators as per given numbers 9187/827, 6826/8131 is

GCF of Numerators i.e. for 9187,6826 is 1

LCM of denominators i.e. for 827,8131 is 6724337.

Thus, GCF of Fractions is 1/6724337.Finally, GCF of Fractions for 9187/827, 6826/8131 is 1/6724337.