How to Find GCF of 8210/291, 2086/6941?

GCF of 8210/291, 2086/6941

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 8210/291, 2086/6941 i.e 2/2019831 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8210/291, 2086/6941.

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 8210/291,2086/6941?

Given fractions are 8210/291,2086/6941

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 8210/291,2086/6941, numerators are 8210,2086

Denominators are 291,6941

The GCF of 8210,2086 is 2 .

LCM of 291,6941 is 2019831.

The greatest common factor of 8210/291,2086/6941 = [GCF of 8210,2086]/[LCM of 291,6941]= 2/2019831

Therefore, the GCF of 8210/291,2086/6941 is 2/2019831.

Greatest Common Factor of 8210,2086

To find the highest common factor of 8210,2086, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 2086 are 1, 2, 7, 14, 149, 298, 1043, 2086

The HCF of 8210,2086 is 2.

Lets's calculate GCF of 8210,2086

Greatest Common Factor (GCF) of 8210,2086 By Common Division

2	8210, 2086
	4105, 1043

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

Greatest Common Factor of 8210,2086 By Matching Biggest Common Factor Method

Now, list down the factors of 8210

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

Now, list down the factors of 2086

1,2,7,14,149,298,1043,2086

Greatest Common Factor

We found the factors 8210,2086 . The biggest common factor number is the GCF number.
So the greatest common factor 8210,2086 is 2.

Lets's calculate LCM of 291,6941

Lowest Common Multiple of 291,6941 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2019831

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2019831

Therefore, the GCF of Fractions 8210/291,2086/6941 is 2/2019831

Least Common Multiple of 291,6941 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 291,6941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,6941) = 1

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

GCF(291,6941) x common factors =1 x 1 = 1

LCM(291,6941) = ( 291 × 6941 ) / 1

LCM(291,6941) = 2019831 / 1

LCM(291,6941) = 2019831

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FAQs on GCF of Fractions of 8210/291, 2086/6941

1. What is the HCF of 8210,2086?

The HCF of 8210,2086 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 8210/291, 2086/6941?

Answer: GCF of Numerators as per given numbers 8210/291, 2086/6941 is

GCF of Numerators i.e. for 8210,2086 is 2

LCM of denominators i.e. for 291,6941 is 2019831.

Thus, GCF of Fractions is 2/2019831.Finally, GCF of Fractions for 8210/291, 2086/6941 is 2/2019831.