Greatest Common Factor of 53/197, 173/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/197, 173/445

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 53/197,173/445

Given fractions are 53/197,173/445

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 53,173

Greatest Common Factor of Numerators i.e. GCF of 53,173 is 1 .

LCM of Denominators means LCM of 197,445 as per the given fractions.

LCM of 197,445 is 87665 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,173

GCF of Fractions 53/197,173/445 is 1/87665

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

Greatest Common Factor of 53,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,173 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 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Greatest Common Factor

We found the factors 53,173 . The biggest common factor number is the GCF number.
So the greatest common factor 53,173 is 1.

Lets's calculate LCM of 197,445

Given numbers has no common factors except 1. So, there LCM is their product i.e 87665

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87665

Therefore, the GCF of Fractions 53/197,173/445 is 1/87665

Least Common Multiple of 197,445 with GCF Formula

Least Common Multiple of 197,445 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 197,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(197,445) = 1

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

GCF(197,445) x common factors =1 x 1 = 1

LCM(197,445) = ( 197 × 445 ) / 1

LCM(197,445) = 87665 / 1

LCM(197,445) = 87665


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 53/197, 173/445

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 53/197, 173/445?

Answer: GCF of Numerators as per given numbers 53/197, 173/445 is

GCF of Numerators i.e. for 53,173 is 1

LCM of denominators i.e. for 197,445 is 87665.

Thus, GCF of Fractions is 1/87665.Finally, GCF of Fractions for 53/197, 173/445 is 1/87665.