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GCF of 611/158, 287/854

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 611/158, 287/854 i.e 1/67466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 611/158, 287/854.

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 611/158,287/854?

Given fractions are 611/158,287/854

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 611/158,287/854, numerators are 611,287

Denominators are 158,854

The GCF of 611,287 is 1 .

LCM of 158,854 is 67466.

The greatest common factor of 611/158,287/854 = [GCF of 611,287]/[LCM of 158,854]= 1/67466

Therefore, the GCF of 611/158,287/854 is 1/67466.

Greatest Common Factor of 611,287

To find the highest common factor of 611,287, we have to find the factors of both numbers and list the highest common factor.

The factors of 611 are 1, 13, 47, 611

The factors of 287 are 1, 7, 41, 287

The HCF of 611,287 is 1.

Lets's calculate GCF of 611,287

Greatest Common Factor (GCF) of 611,287 By Common Division

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

Greatest Common Factor of 611,287 By Matching Biggest Common Factor Method

Greatest Common Factor of 611,287 By Matching Biggest Common Factor Method

Now, list down the factors of 611

:

1,13,47,611

Now, list down the factors of 287

:

1,7,41,287

Greatest Common Factor

We found the factors 611,287 . The biggest common factor number is the GCF number.
So the greatest common factor 611,287 is 1.

Lets's calculate LCM of 158,854

Lowest Common Multiple of 158,854 using Common Division

2 158, 854
79, 427

∴ So the LCM of the given numbers is 2 x 79 x 427 = 67466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67466

Therefore, the GCF of Fractions 611/158,287/854 is 1/67466

Least Common Multiple of 158,854 with GCF Formula

Least Common Multiple of 158,854 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 158,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(158,854) = 2

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

GCF(158,854) x common factors =2 x 1 = 2

LCM(158,854) = ( 158 × 854 ) / 2

LCM(158,854) = 134932 / 2

LCM(158,854) = 67466


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FAQs on GCF of Fractions of 611/158, 287/854

1. What is the HCF of 611,287?

The HCF of 611,287 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 611/158, 287/854?

Answer: GCF of Numerators as per given numbers 611/158, 287/854 is

GCF of Numerators i.e. for 611,287 is 1

LCM of denominators i.e. for 158,854 is 67466.

Thus, GCF of Fractions is 1/67466.Finally, GCF of Fractions for 611/158, 287/854 is 1/67466.