Greatest Common Factor of 5052/575, 1671/1403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5052/575, 1671/1403

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 5052/575,1671/1403

Given fractions are 5052/575,1671/1403

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 5052,1671

Greatest Common Factor of Numerators i.e. GCF of 5052,1671 is 3 .

LCM of Denominators means LCM of 575,1403 as per the given fractions.

LCM of 575,1403 is 35075 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5052,1671

GCF of Fractions 5052/575,1671/1403 is 3/35075

3 5052, 1671
1684, 557

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5052,1671 By Matching Biggest Common Factor Method

Greatest Common Factor of 5052,1671 By Matching Biggest Common Factor Method

Factors of 5052

List of positive integer factors of 5052 that divides 5052 without a remainder.

1,2,3,4,6,12,421,842,1263,1684,2526,5052

Factors of 1671

List of positive integer factors of 1671 that divides 1671 without a remainder.

1,3,557,1671

Greatest Common Factor

We found the factors 5052,1671 . The biggest common factor number is the GCF number.
So the greatest common factor 5052,1671 is 3.

Lets's calculate LCM of 575,1403

23 575, 1403
25, 61

∴ So the LCM of the given numbers is 23 x 25 x 61 = 35075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/35075

Therefore, the GCF of Fractions 5052/575,1671/1403 is 3/35075

Least Common Multiple of 575,1403 with GCF Formula

Least Common Multiple of 575,1403 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 575,1403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,1403) = 23

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

GCF(575,1403) x common factors =23 x 1 = 23

LCM(575,1403) = ( 575 × 1403 ) / 23

LCM(575,1403) = 806725 / 23

LCM(575,1403) = 35075


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 5052/575, 1671/1403

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 5052/575, 1671/1403?

Answer: GCF of Numerators as per given numbers 5052/575, 1671/1403 is

GCF of Numerators i.e. for 5052,1671 is 3

LCM of denominators i.e. for 575,1403 is 35075.

Thus, GCF of Fractions is 3/35075.Finally, GCF of Fractions for 5052/575, 1671/1403 is 3/35075.