How to Find GCF of 5587/109, 2215/500?

GCF of 5587/109, 2215/500

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 5587/109, 2215/500 i.e 1/54500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5587/109, 2215/500.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5587/109,2215/500?

Given fractions are 5587/109,2215/500

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 5587/109,2215/500, numerators are 5587,2215

Denominators are 109,500

The GCF of 5587,2215 is 1 .

LCM of 109,500 is 54500.

The greatest common factor of 5587/109,2215/500 = [GCF of 5587,2215]/[LCM of 109,500]= 1/54500

Therefore, the GCF of 5587/109,2215/500 is 1/54500.

Greatest Common Factor of 5587,2215

To find the highest common factor of 5587,2215, we have to find the factors of both numbers and list the highest common factor.

The factors of 5587 are 1, 37, 151, 5587

The factors of 2215 are 1, 5, 443, 2215

The HCF of 5587,2215 is 1.

Lets's calculate GCF of 5587,2215

Greatest Common Factor (GCF) of 5587,2215 By Common Division

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

Greatest Common Factor of 5587,2215 By Matching Biggest Common Factor Method

Now, list down the factors of 5587

1,37,151,5587

Now, list down the factors of 2215

1,5,443,2215

Greatest Common Factor

We found the factors 5587,2215 . The biggest common factor number is the GCF number.
So the greatest common factor 5587,2215 is 1.

Lets's calculate LCM of 109,500

Lowest Common Multiple of 109,500 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 54500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54500

Therefore, the GCF of Fractions 5587/109,2215/500 is 1/54500

Least Common Multiple of 109,500 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 109,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,500) = 1

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

GCF(109,500) x common factors =1 x 1 = 1

LCM(109,500) = ( 109 × 500 ) / 1

LCM(109,500) = 54500 / 1

LCM(109,500) = 54500

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FAQs on GCF of Fractions of 5587/109, 2215/500

1. What is the HCF of 5587,2215?

The HCF of 5587,2215 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 5587/109, 2215/500?

Answer: GCF of Numerators as per given numbers 5587/109, 2215/500 is

GCF of Numerators i.e. for 5587,2215 is 1

LCM of denominators i.e. for 109,500 is 54500.

Thus, GCF of Fractions is 1/54500.Finally, GCF of Fractions for 5587/109, 2215/500 is 1/54500.