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GCF of 845/287, 4973/5859

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 845/287, 4973/5859 i.e 1/240219 easily. The following is the detailed procedure to determine the greatest common factor of fractions 845/287, 4973/5859.

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 845/287,4973/5859?

Given fractions are 845/287,4973/5859

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 845/287,4973/5859, numerators are 845,4973

Denominators are 287,5859

The GCF of 845,4973 is 1 .

LCM of 287,5859 is 240219.

The greatest common factor of 845/287,4973/5859 = [GCF of 845,4973]/[LCM of 287,5859]= 1/240219

Therefore, the GCF of 845/287,4973/5859 is 1/240219.

Greatest Common Factor of 845,4973

To find the highest common factor of 845,4973, we have to find the factors of both numbers and list the highest common factor.

The factors of 845 are 1, 5, 13, 65, 169, 845

The factors of 4973 are 1, 4973

The HCF of 845,4973 is 1.

Lets's calculate GCF of 845,4973

Greatest Common Factor (GCF) of 845,4973 By Common Division

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

Greatest Common Factor of 845,4973 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,4973 By Matching Biggest Common Factor Method

Now, list down the factors of 845

:

1,5,13,65,169,845

Now, list down the factors of 4973

:

1,4973

Greatest Common Factor

We found the factors 845,4973 . The biggest common factor number is the GCF number.
So the greatest common factor 845,4973 is 1.

Lets's calculate LCM of 287,5859

Lowest Common Multiple of 287,5859 using Common Division

7 287, 5859
41, 837

∴ So the LCM of the given numbers is 7 x 41 x 837 = 240219

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240219

Therefore, the GCF of Fractions 845/287,4973/5859 is 1/240219

Least Common Multiple of 287,5859 with GCF Formula

Least Common Multiple of 287,5859 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 287,5859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,5859) = 7

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

GCF(287,5859) x common factors =7 x 1 = 7

LCM(287,5859) = ( 287 × 5859 ) / 7

LCM(287,5859) = 1681533 / 7

LCM(287,5859) = 240219


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FAQs on GCF of Fractions of 845/287, 4973/5859

1. What is the HCF of 845,4973?

The HCF of 845,4973 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 845/287, 4973/5859?

Answer: GCF of Numerators as per given numbers 845/287, 4973/5859 is

GCF of Numerators i.e. for 845,4973 is 1

LCM of denominators i.e. for 287,5859 is 240219.

Thus, GCF of Fractions is 1/240219.Finally, GCF of Fractions for 845/287, 4973/5859 is 1/240219.