Greatest Common Factor of 1575/230, 5502/4185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1575/230, 5502/4185

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 1575/230,5502/4185

Given fractions are 1575/230,5502/4185

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 1575,5502

Greatest Common Factor of Numerators i.e. GCF of 1575,5502 is 21 .

LCM of Denominators means LCM of 230,4185 as per the given fractions.

LCM of 230,4185 is 192510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1575,5502

GCF of Fractions 1575/230,5502/4185 is 21/192510

3 1575, 5502
7 525, 1834
75, 262

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 1575,5502 By Matching Biggest Common Factor Method

Greatest Common Factor of 1575,5502 By Matching Biggest Common Factor Method

Factors of 1575

List of positive integer factors of 1575 that divides 1575 without a remainder.

1,3,5,7,9,15,21,25,35,45,63,75,105,175,225,315,525,1575

Factors of 5502

List of positive integer factors of 5502 that divides 5502 without a remainder.

1,2,3,6,7,14,21,42,131,262,393,786,917,1834,2751,5502

Greatest Common Factor

We found the factors 1575,5502 . The biggest common factor number is the GCF number.
So the greatest common factor 1575,5502 is 21.

Lets's calculate LCM of 230,4185

5 230, 4185
46, 837

∴ So the LCM of the given numbers is 5 x 46 x 837 = 192510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/192510

Therefore, the GCF of Fractions 1575/230,5502/4185 is 21/192510

Least Common Multiple of 230,4185 with GCF Formula

Least Common Multiple of 230,4185 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 230,4185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,4185) = 5

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

GCF(230,4185) x common factors =5 x 1 = 5

LCM(230,4185) = ( 230 × 4185 ) / 5

LCM(230,4185) = 962550 / 5

LCM(230,4185) = 192510


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 1575/230, 5502/4185

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 1575/230, 5502/4185?

Answer: GCF of Numerators as per given numbers 1575/230, 5502/4185 is

GCF of Numerators i.e. for 1575,5502 is 21

LCM of denominators i.e. for 230,4185 is 192510.

Thus, GCF of Fractions is 21/192510.Finally, GCF of Fractions for 1575/230, 5502/4185 is 21/192510.