Greatest Common Factor of 5/53, 48/97, 57/205, 861/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/53, 48/97, 57/205, 861/249

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 5/53,48/97,57/205,861/249

Given fractions are 5/53,48/97,57/205,861/249

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 5,48,57,861

Greatest Common Factor of Numerators i.e. GCF of 5,48,57,861 is 1 .

LCM of Denominators means LCM of 53,97,205,249 as per the given fractions.

LCM of 53,97,205,249 is 262422345 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,48,57,861

GCF of Fractions 5/53,48/97,57/205,861/249 is 1/262422345

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

Greatest Common Factor of 5,48,57,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,48,57,861 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 5,48,57,861 . The biggest common factor number is the GCF number.
So the greatest common factor 5,48,57,861 is 1.

Lets's calculate LCM of 53,97,205,249

Given numbers has no common factors except 1. So, there LCM is their product i.e 262422345

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262422345

Therefore, the GCF of Fractions 5/53,48/97,57/205,861/249 is 1/262422345

Least Common Multiple of 53,97,205,249 with GCF Formula

Least Common Multiple of 53,97,205,249 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 53,97,205,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,97,205,249) = 1

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

GCF(53,97,205,249) x common factors =1 x 1 = 1

LCM(53,97,205,249) = ( 53 × 97 × 205 × 249 ) / 1

LCM(53,97,205,249) = 262422345 / 1

LCM(53,97,205,249) = 262422345


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 5/53, 48/97, 57/205, 861/249

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 5/53, 48/97, 57/205, 861/249?

Answer: GCF of Numerators as per given numbers 5/53, 48/97, 57/205, 861/249 is

GCF of Numerators i.e. for 5,48,57,861 is 1

LCM of denominators i.e. for 53,97,205,249 is 262422345.

Thus, GCF of Fractions is 1/262422345.Finally, GCF of Fractions for 5/53, 48/97, 57/205, 861/249 is 1/262422345.