Greatest Common Factor of 53/20, 64/261, 986/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/20, 64/261, 986/193

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 53/20,64/261,986/193

Given fractions are 53/20,64/261,986/193

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 53,64,986

Greatest Common Factor of Numerators i.e. GCF of 53,64,986 is 1 .

LCM of Denominators means LCM of 20,261,193 as per the given fractions.

LCM of 20,261,193 is 1007460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,64,986

GCF of Fractions 53/20,64/261,986/193 is 1/1007460

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

Greatest Common Factor of 53,64,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,64,986 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 53,64,986 . The biggest common factor number is the GCF number.
So the greatest common factor 53,64,986 is 1.

Lets's calculate LCM of 20,261,193

Given numbers has no common factors except 1. So, there LCM is their product i.e 1007460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1007460

Therefore, the GCF of Fractions 53/20,64/261,986/193 is 1/1007460

Least Common Multiple of 20,261,193 with GCF Formula

Least Common Multiple of 20,261,193 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 20,261,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,261,193) = 1

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

GCF(20,261,193) x common factors =1 x 1 = 1

LCM(20,261,193) = ( 20 × 261 × 193 ) / 1

LCM(20,261,193) = 1007460 / 1

LCM(20,261,193) = 1007460


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 53/20, 64/261, 986/193

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 53/20, 64/261, 986/193?

Answer: GCF of Numerators as per given numbers 53/20, 64/261, 986/193 is

GCF of Numerators i.e. for 53,64,986 is 1

LCM of denominators i.e. for 20,261,193 is 1007460.

Thus, GCF of Fractions is 1/1007460.Finally, GCF of Fractions for 53/20, 64/261, 986/193 is 1/1007460.