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GCF of 280/87, 500/3927

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 280/87, 500/3927 i.e 20/113883 easily. The following is the detailed procedure to determine the greatest common factor of fractions 280/87, 500/3927.

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 280/87,500/3927?

Given fractions are 280/87,500/3927

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 280/87,500/3927, numerators are 280,500

Denominators are 87,3927

The GCF of 280,500 is 20 .

LCM of 87,3927 is 113883.

The greatest common factor of 280/87,500/3927 = [GCF of 280,500]/[LCM of 87,3927]= 20/113883

Therefore, the GCF of 280/87,500/3927 is 20/113883.

Greatest Common Factor of 280,500

To find the highest common factor of 280,500, we have to find the factors of both numbers and list the highest common factor.

The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

The HCF of 280,500 is 20.

Lets's calculate GCF of 280,500

Greatest Common Factor (GCF) of 280,500 By Common Division

2 280, 500
2 140, 250
5 70, 125
14, 25

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 280,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,500 By Matching Biggest Common Factor Method

Now, list down the factors of 280

:

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Now, list down the factors of 500

:

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 280,500 . The biggest common factor number is the GCF number.
So the greatest common factor 280,500 is 20.


Lets's calculate LCM of 87,3927

Lowest Common Multiple of 87,3927 using Common Division

3 87, 3927
29, 1309

∴ So the LCM of the given numbers is 3 x 29 x 1309 = 113883

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/113883

Therefore, the GCF of Fractions 280/87,500/3927 is 20/113883

Least Common Multiple of 87,3927 with GCF Formula

Least Common Multiple of 87,3927 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 87,3927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,3927) = 3

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

GCF(87,3927) x common factors =3 x 1 = 3

LCM(87,3927) = ( 87 × 3927 ) / 3

LCM(87,3927) = 341649 / 3

LCM(87,3927) = 113883


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 280/87, 500/3927

1. What is the HCF of 280,500?

The HCF of 280,500 is 20

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 280/87, 500/3927?

Answer: GCF of Numerators as per given numbers 280/87, 500/3927 is

GCF of Numerators i.e. for 280,500 is 20

LCM of denominators i.e. for 87,3927 is 113883.

Thus, GCF of Fractions is 20/113883.Finally, GCF of Fractions for 280/87, 500/3927 is 20/113883.