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GCF of 1487/277, 2086/581

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 1487/277, 2086/581 i.e 1/160937 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1487/277, 2086/581.

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 1487/277,2086/581?

Given fractions are 1487/277,2086/581

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 1487/277,2086/581, numerators are 1487,2086

Denominators are 277,581

The GCF of 1487,2086 is 1 .

LCM of 277,581 is 160937.

The greatest common factor of 1487/277,2086/581 = [GCF of 1487,2086]/[LCM of 277,581]= 1/160937

Therefore, the GCF of 1487/277,2086/581 is 1/160937.

Greatest Common Factor of 1487,2086

To find the highest common factor of 1487,2086, we have to find the factors of both numbers and list the highest common factor.

The factors of 1487 are 1, 1487

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

The HCF of 1487,2086 is 1.

Lets's calculate GCF of 1487,2086

Greatest Common Factor (GCF) of 1487,2086 By Common Division

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

Greatest Common Factor of 1487,2086 By Matching Biggest Common Factor Method

Greatest Common Factor of 1487,2086 By Matching Biggest Common Factor Method

Now, list down the factors of 1487

:

1,1487

Now, list down the factors of 2086

:

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

Greatest Common Factor

We found the factors 1487,2086 . The biggest common factor number is the GCF number.
So the greatest common factor 1487,2086 is 1.

Lets's calculate LCM of 277,581

Lowest Common Multiple of 277,581 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 160937

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160937

Therefore, the GCF of Fractions 1487/277,2086/581 is 1/160937

Least Common Multiple of 277,581 with GCF Formula

Least Common Multiple of 277,581 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 277,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,581) = 1

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

GCF(277,581) x common factors =1 x 1 = 1

LCM(277,581) = ( 277 × 581 ) / 1

LCM(277,581) = 160937 / 1

LCM(277,581) = 160937


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FAQs on GCF of Fractions of 1487/277, 2086/581

1. What is the HCF of 1487,2086?

The HCF of 1487,2086 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 1487/277, 2086/581?

Answer: GCF of Numerators as per given numbers 1487/277, 2086/581 is

GCF of Numerators i.e. for 1487,2086 is 1

LCM of denominators i.e. for 277,581 is 160937.

Thus, GCF of Fractions is 1/160937.Finally, GCF of Fractions for 1487/277, 2086/581 is 1/160937.