How to Find GCF of 5287/283, 1016/2152?

GCF of 5287/283, 1016/2152

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 5287/283, 1016/2152 i.e 1/609016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5287/283, 1016/2152.

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 5287/283,1016/2152?

Given fractions are 5287/283,1016/2152

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 5287/283,1016/2152, numerators are 5287,1016

Denominators are 283,2152

The GCF of 5287,1016 is 1 .

LCM of 283,2152 is 609016.

The greatest common factor of 5287/283,1016/2152 = [GCF of 5287,1016]/[LCM of 283,2152]= 1/609016

Therefore, the GCF of 5287/283,1016/2152 is 1/609016.

Greatest Common Factor of 5287,1016

To find the highest common factor of 5287,1016, we have to find the factors of both numbers and list the highest common factor.

The factors of 5287 are 1, 17, 311, 5287

The factors of 1016 are 1, 2, 4, 8, 127, 254, 508, 1016

The HCF of 5287,1016 is 1.

Lets's calculate GCF of 5287,1016

Greatest Common Factor (GCF) of 5287,1016 By Common Division

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

Greatest Common Factor of 5287,1016 By Matching Biggest Common Factor Method

Now, list down the factors of 5287

1,17,311,5287

Now, list down the factors of 1016

1,2,4,8,127,254,508,1016

Greatest Common Factor

We found the factors 5287,1016 . The biggest common factor number is the GCF number.
So the greatest common factor 5287,1016 is 1.

Lets's calculate LCM of 283,2152

Lowest Common Multiple of 283,2152 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 609016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/609016

Therefore, the GCF of Fractions 5287/283,1016/2152 is 1/609016

Least Common Multiple of 283,2152 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 283,2152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,2152) = 1

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

GCF(283,2152) x common factors =1 x 1 = 1

LCM(283,2152) = ( 283 × 2152 ) / 1

LCM(283,2152) = 609016 / 1

LCM(283,2152) = 609016

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5287/283, 1016/2152

1. What is the HCF of 5287,1016?

The HCF of 5287,1016 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 5287/283, 1016/2152?

Answer: GCF of Numerators as per given numbers 5287/283, 1016/2152 is

GCF of Numerators i.e. for 5287,1016 is 1

LCM of denominators i.e. for 283,2152 is 609016.

Thus, GCF of Fractions is 1/609016.Finally, GCF of Fractions for 5287/283, 1016/2152 is 1/609016.