Greatest Common Factor of 535/98, 587/21, 368/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 535/98, 587/21, 368/486

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 535/98,587/21,368/486

Given fractions are 535/98,587/21,368/486

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 535,587,368

Greatest Common Factor of Numerators i.e. GCF of 535,587,368 is 1 .

LCM of Denominators means LCM of 98,21,486 as per the given fractions.

LCM of 98,21,486 is 23814 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 535,587,368

GCF of Fractions 535/98,587/21,368/486 is 1/23814

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

Greatest Common Factor of 535,587,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,587,368 By Matching Biggest Common Factor Method

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 535,587,368 . The biggest common factor number is the GCF number.
So the greatest common factor 535,587,368 is 1.

Lets's calculate LCM of 98,21,486

2 98, 21, 486
3 49, 21, 243
7 49, 7, 81
1, 7, 81

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 7 x 81 = 23814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23814

Therefore, the GCF of Fractions 535/98,587/21,368/486 is 1/23814

Least Common Multiple of 98,21,486 with GCF Formula

Least Common Multiple of 98,21,486 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 98,21,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,21,486) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(98,21,486) x common factors =1 x 42 = 42

LCM(98,21,486) = ( 98 × 21 × 486 ) / 42

LCM(98,21,486) = 1000188 / 42

LCM(98,21,486) = 23814


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 535/98, 587/21, 368/486

1. 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.

2. What is the GCF of Fractions for 535/98, 587/21, 368/486?

Answer: GCF of Numerators as per given numbers 535/98, 587/21, 368/486 is

GCF of Numerators i.e. for 535,587,368 is 1

LCM of denominators i.e. for 98,21,486 is 23814.

Thus, GCF of Fractions is 1/23814.Finally, GCF of Fractions for 535/98, 587/21, 368/486 is 1/23814.