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GCF of 806/208, 158/381

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 806/208, 158/381 i.e 2/79248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 806/208, 158/381.

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 806/208,158/381?

Given fractions are 806/208,158/381

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 806/208,158/381, numerators are 806,158

Denominators are 208,381

The GCF of 806,158 is 2 .

LCM of 208,381 is 79248.

The greatest common factor of 806/208,158/381 = [GCF of 806,158]/[LCM of 208,381]= 2/79248

Therefore, the GCF of 806/208,158/381 is 2/79248.

Greatest Common Factor of 806,158

To find the highest common factor of 806,158, we have to find the factors of both numbers and list the highest common factor.

The factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806

The factors of 158 are 1, 2, 79, 158

The HCF of 806,158 is 2.

Lets's calculate GCF of 806,158

Greatest Common Factor (GCF) of 806,158 By Common Division

2 806, 158
403, 79

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

Greatest Common Factor of 806,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,158 By Matching Biggest Common Factor Method

Now, list down the factors of 806

:

1,2,13,26,31,62,403,806

Now, list down the factors of 158

:

1,2,79,158

Greatest Common Factor

We found the factors 806,158 . The biggest common factor number is the GCF number.
So the greatest common factor 806,158 is 2.

Lets's calculate LCM of 208,381

Lowest Common Multiple of 208,381 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 79248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/79248

Therefore, the GCF of Fractions 806/208,158/381 is 2/79248

Least Common Multiple of 208,381 with GCF Formula

Least Common Multiple of 208,381 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 208,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,381) = 1

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

GCF(208,381) x common factors =1 x 1 = 1

LCM(208,381) = ( 208 × 381 ) / 1

LCM(208,381) = 79248 / 1

LCM(208,381) = 79248


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FAQs on GCF of Fractions of 806/208, 158/381

1. What is the HCF of 806,158?

The HCF of 806,158 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 806/208, 158/381?

Answer: GCF of Numerators as per given numbers 806/208, 158/381 is

GCF of Numerators i.e. for 806,158 is 2

LCM of denominators i.e. for 208,381 is 79248.

Thus, GCF of Fractions is 2/79248.Finally, GCF of Fractions for 806/208, 158/381 is 2/79248.