LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 87/798, 2477/1536

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 87/798, 2477/1536 i.e 1/204288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/798, 2477/1536.

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 87/798,2477/1536?

Given fractions are 87/798,2477/1536

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 87/798,2477/1536, numerators are 87,2477

Denominators are 798,1536

The GCF of 87,2477 is 1 .

LCM of 798,1536 is 204288.

The greatest common factor of 87/798,2477/1536 = [GCF of 87,2477]/[LCM of 798,1536]= 1/204288

Therefore, the GCF of 87/798,2477/1536 is 1/204288.

Greatest Common Factor of 87,2477

To find the highest common factor of 87,2477, we have to find the factors of both numbers and list the highest common factor.

The factors of 87 are 1, 3, 29, 87

The factors of 2477 are 1, 2477

The HCF of 87,2477 is 1.

Lets's calculate GCF of 87,2477

Greatest Common Factor (GCF) of 87,2477 By Common Division

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

Greatest Common Factor of 87,2477 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,2477 By Matching Biggest Common Factor Method

Now, list down the factors of 87

:

1,3,29,87

Now, list down the factors of 2477

:

1,2477

Greatest Common Factor

We found the factors 87,2477 . The biggest common factor number is the GCF number.
So the greatest common factor 87,2477 is 1.

Lets's calculate LCM of 798,1536

Lowest Common Multiple of 798,1536 using Common Division

2 798, 1536
3 399, 768
133, 256

∴ So the LCM of the given numbers is 2 x 3 x 133 x 256 = 204288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204288

Therefore, the GCF of Fractions 87/798,2477/1536 is 1/204288

Least Common Multiple of 798,1536 with GCF Formula

Least Common Multiple of 798,1536 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 798,1536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,1536) = 6

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

GCF(798,1536) x common factors =6 x 1 = 6

LCM(798,1536) = ( 798 × 1536 ) / 6

LCM(798,1536) = 1225728 / 6

LCM(798,1536) = 204288


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 87/798, 2477/1536

1. What is the HCF of 87,2477?

The HCF of 87,2477 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 87/798, 2477/1536?

Answer: GCF of Numerators as per given numbers 87/798, 2477/1536 is

GCF of Numerators i.e. for 87,2477 is 1

LCM of denominators i.e. for 798,1536 is 204288.

Thus, GCF of Fractions is 1/204288.Finally, GCF of Fractions for 87/798, 2477/1536 is 1/204288.