Greatest Common Factor of 155/41, 835/54, 343/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 155/41, 835/54, 343/875

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 155/41,835/54,343/875

Given fractions are 155/41,835/54,343/875

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 155,835,343

Greatest Common Factor of Numerators i.e. GCF of 155,835,343 is 1 .

LCM of Denominators means LCM of 41,54,875 as per the given fractions.

LCM of 41,54,875 is 1937250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 155,835,343

GCF of Fractions 155/41,835/54,343/875 is 1/1937250

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

Greatest Common Factor of 155,835,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 155,835,343 By Matching Biggest Common Factor Method

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 155,835,343 . The biggest common factor number is the GCF number.
So the greatest common factor 155,835,343 is 1.

Lets's calculate LCM of 41,54,875

Given numbers has no common factors except 1. So, there LCM is their product i.e 1937250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1937250

Therefore, the GCF of Fractions 155/41,835/54,343/875 is 1/1937250

Least Common Multiple of 41,54,875 with GCF Formula

Least Common Multiple of 41,54,875 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 41,54,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,54,875) = 1

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

GCF(41,54,875) x common factors =1 x 1 = 1

LCM(41,54,875) = ( 41 × 54 × 875 ) / 1

LCM(41,54,875) = 1937250 / 1

LCM(41,54,875) = 1937250


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 155/41, 835/54, 343/875

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 155/41, 835/54, 343/875?

Answer: GCF of Numerators as per given numbers 155/41, 835/54, 343/875 is

GCF of Numerators i.e. for 155,835,343 is 1

LCM of denominators i.e. for 41,54,875 is 1937250.

Thus, GCF of Fractions is 1/1937250.Finally, GCF of Fractions for 155/41, 835/54, 343/875 is 1/1937250.