Greatest Common Factor of 4/53, 39/16, 55/109, 607/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/53, 39/16, 55/109, 607/177

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 4/53,39/16,55/109,607/177

Given fractions are 4/53,39/16,55/109,607/177

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 4,39,55,607

Greatest Common Factor of Numerators i.e. GCF of 4,39,55,607 is 1 .

LCM of Denominators means LCM of 53,16,109,177 as per the given fractions.

LCM of 53,16,109,177 is 16360464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,39,55,607

GCF of Fractions 4/53,39/16,55/109,607/177 is 1/16360464

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

Greatest Common Factor of 4,39,55,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,39,55,607 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Greatest Common Factor

We found the factors 4,39,55,607 . The biggest common factor number is the GCF number.
So the greatest common factor 4,39,55,607 is 1.

Lets's calculate LCM of 53,16,109,177

Given numbers has no common factors except 1. So, there LCM is their product i.e 16360464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16360464

Therefore, the GCF of Fractions 4/53,39/16,55/109,607/177 is 1/16360464

Least Common Multiple of 53,16,109,177 with GCF Formula

Least Common Multiple of 53,16,109,177 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 53,16,109,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,16,109,177) = 1

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

GCF(53,16,109,177) x common factors =1 x 1 = 1

LCM(53,16,109,177) = ( 53 × 16 × 109 × 177 ) / 1

LCM(53,16,109,177) = 16360464 / 1

LCM(53,16,109,177) = 16360464


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 4/53, 39/16, 55/109, 607/177

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 4/53, 39/16, 55/109, 607/177?

Answer: GCF of Numerators as per given numbers 4/53, 39/16, 55/109, 607/177 is

GCF of Numerators i.e. for 4,39,55,607 is 1

LCM of denominators i.e. for 53,16,109,177 is 16360464.

Thus, GCF of Fractions is 1/16360464.Finally, GCF of Fractions for 4/53, 39/16, 55/109, 607/177 is 1/16360464.