Greatest Common Factor of 21/68, 335/55, 517/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/68, 335/55, 517/963

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 21/68,335/55,517/963

Given fractions are 21/68,335/55,517/963

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 21,335,517

Greatest Common Factor of Numerators i.e. GCF of 21,335,517 is 1 .

LCM of Denominators means LCM of 68,55,963 as per the given fractions.

LCM of 68,55,963 is 3601620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,335,517

GCF of Fractions 21/68,335/55,517/963 is 1/3601620

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

Greatest Common Factor of 21,335,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,335,517 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 21,335,517 . The biggest common factor number is the GCF number.
So the greatest common factor 21,335,517 is 1.

Lets's calculate LCM of 68,55,963

Given numbers has no common factors except 1. So, there LCM is their product i.e 3601620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3601620

Therefore, the GCF of Fractions 21/68,335/55,517/963 is 1/3601620

Least Common Multiple of 68,55,963 with GCF Formula

Least Common Multiple of 68,55,963 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 68,55,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,55,963) = 1

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

GCF(68,55,963) x common factors =1 x 1 = 1

LCM(68,55,963) = ( 68 × 55 × 963 ) / 1

LCM(68,55,963) = 3601620 / 1

LCM(68,55,963) = 3601620


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 21/68, 335/55, 517/963

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 21/68, 335/55, 517/963?

Answer: GCF of Numerators as per given numbers 21/68, 335/55, 517/963 is

GCF of Numerators i.e. for 21,335,517 is 1

LCM of denominators i.e. for 68,55,963 is 3601620.

Thus, GCF of Fractions is 1/3601620.Finally, GCF of Fractions for 21/68, 335/55, 517/963 is 1/3601620.