Greatest Common Factor of 455/418, 1725/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 455/418, 1725/342

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 455/418,1725/342

Given fractions are 455/418,1725/342

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 455,1725

Greatest Common Factor of Numerators i.e. GCF of 455,1725 is 5 .

LCM of Denominators means LCM of 418,342 as per the given fractions.

LCM of 418,342 is 3762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 455,1725

GCF of Fractions 455/418,1725/342 is 5/3762

5 455, 1725
91, 345

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 455,1725 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,1725 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 1725

List of positive integer factors of 1725 that divides 1725 without a remainder.

1,3,5,15,23,25,69,75,115,345,575,1725

Greatest Common Factor

We found the factors 455,1725 . The biggest common factor number is the GCF number.
So the greatest common factor 455,1725 is 5.

Lets's calculate LCM of 418,342

2 418, 342
19 209, 171
11, 9

∴ So the LCM of the given numbers is 2 x 19 x 11 x 9 = 3762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3762

Therefore, the GCF of Fractions 455/418,1725/342 is 5/3762

Least Common Multiple of 418,342 with GCF Formula

Least Common Multiple of 418,342 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 418,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,342) = 38

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

GCF(418,342) x common factors =38 x 1 = 38

LCM(418,342) = ( 418 × 342 ) / 38

LCM(418,342) = 142956 / 38

LCM(418,342) = 3762


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 455/418, 1725/342

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 455/418, 1725/342?

Answer: GCF of Numerators as per given numbers 455/418, 1725/342 is

GCF of Numerators i.e. for 455,1725 is 5

LCM of denominators i.e. for 418,342 is 3762.

Thus, GCF of Fractions is 5/3762.Finally, GCF of Fractions for 455/418, 1725/342 is 5/3762.