Greatest Common Factor of 475/189, 624/968, 257/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 475/189, 624/968, 257/185

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 475/189,624/968,257/185

Given fractions are 475/189,624/968,257/185

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 475,624,257

Greatest Common Factor of Numerators i.e. GCF of 475,624,257 is 1 .

LCM of Denominators means LCM of 189,968,185 as per the given fractions.

LCM of 189,968,185 is 33846120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 475,624,257

GCF of Fractions 475/189,624/968,257/185 is 1/33846120

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

Greatest Common Factor of 475,624,257 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,624,257 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Greatest Common Factor

We found the factors 475,624,257 . The biggest common factor number is the GCF number.
So the greatest common factor 475,624,257 is 1.

Lets's calculate LCM of 189,968,185

Given numbers has no common factors except 1. So, there LCM is their product i.e 33846120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33846120

Therefore, the GCF of Fractions 475/189,624/968,257/185 is 1/33846120

Least Common Multiple of 189,968,185 with GCF Formula

Least Common Multiple of 189,968,185 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 189,968,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,968,185) = 1

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

GCF(189,968,185) x common factors =1 x 1 = 1

LCM(189,968,185) = ( 189 × 968 × 185 ) / 1

LCM(189,968,185) = 33846120 / 1

LCM(189,968,185) = 33846120


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 475/189, 624/968, 257/185

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 475/189, 624/968, 257/185?

Answer: GCF of Numerators as per given numbers 475/189, 624/968, 257/185 is

GCF of Numerators i.e. for 475,624,257 is 1

LCM of denominators i.e. for 189,968,185 is 33846120.

Thus, GCF of Fractions is 1/33846120.Finally, GCF of Fractions for 475/189, 624/968, 257/185 is 1/33846120.