Greatest Common Factor of 901/17, 954/6057

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 901/17, 954/6057

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 901/17,954/6057

Given fractions are 901/17,954/6057

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 901,954

Greatest Common Factor of Numerators i.e. GCF of 901,954 is 53 .

LCM of Denominators means LCM of 17,6057 as per the given fractions.

LCM of 17,6057 is 102969 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 901,954

GCF of Fractions 901/17,954/6057 is 53/102969

53 901, 954
17, 18

∴ So the GCF of the given numbers is 53 = 53

Greatest Common Factor of 901,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,954 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 901,954 . The biggest common factor number is the GCF number.
So the greatest common factor 901,954 is 53.

Lets's calculate LCM of 17,6057

Given numbers has no common factors except 1. So, there LCM is their product i.e 102969

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/102969

Therefore, the GCF of Fractions 901/17,954/6057 is 53/102969

Least Common Multiple of 17,6057 with GCF Formula

Least Common Multiple of 17,6057 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 17,6057 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,6057) = 1

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

GCF(17,6057) x common factors =1 x 1 = 1

LCM(17,6057) = ( 17 × 6057 ) / 1

LCM(17,6057) = 102969 / 1

LCM(17,6057) = 102969


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 901/17, 954/6057

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 901/17, 954/6057?

Answer: GCF of Numerators as per given numbers 901/17, 954/6057 is

GCF of Numerators i.e. for 901,954 is 53

LCM of denominators i.e. for 17,6057 is 102969.

Thus, GCF of Fractions is 53/102969.Finally, GCF of Fractions for 901/17, 954/6057 is 53/102969.