Greatest Common Factor of 293/452, 4475/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 293/452, 4475/196

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 293/452,4475/196

Given fractions are 293/452,4475/196

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 293,4475

Greatest Common Factor of Numerators i.e. GCF of 293,4475 is 1 .

LCM of Denominators means LCM of 452,196 as per the given fractions.

LCM of 452,196 is 22148 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 293,4475

GCF of Fractions 293/452,4475/196 is 1/22148

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

Greatest Common Factor of 293,4475 By Matching Biggest Common Factor Method

Greatest Common Factor of 293,4475 By Matching Biggest Common Factor Method

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 4475

List of positive integer factors of 4475 that divides 4475 without a remainder.

1,5,25,179,895,4475

Greatest Common Factor

We found the factors 293,4475 . The biggest common factor number is the GCF number.
So the greatest common factor 293,4475 is 1.

Lets's calculate LCM of 452,196

2 452, 196
2 226, 98
113, 49

∴ So the LCM of the given numbers is 2 x 2 x 113 x 49 = 22148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22148

Therefore, the GCF of Fractions 293/452,4475/196 is 1/22148

Least Common Multiple of 452,196 with GCF Formula

Least Common Multiple of 452,196 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 452,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(452,196) = 4

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

GCF(452,196) x common factors =4 x 1 = 4

LCM(452,196) = ( 452 × 196 ) / 4

LCM(452,196) = 88592 / 4

LCM(452,196) = 22148


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 293/452, 4475/196

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 293/452, 4475/196?

Answer: GCF of Numerators as per given numbers 293/452, 4475/196 is

GCF of Numerators i.e. for 293,4475 is 1

LCM of denominators i.e. for 452,196 is 22148.

Thus, GCF of Fractions is 1/22148.Finally, GCF of Fractions for 293/452, 4475/196 is 1/22148.