Greatest Common Factor of 555/630, 148/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 555/630, 148/609

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 555/630,148/609

Given fractions are 555/630,148/609

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 555,148

Greatest Common Factor of Numerators i.e. GCF of 555,148 is 37 .

LCM of Denominators means LCM of 630,609 as per the given fractions.

LCM of 630,609 is 18270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 555,148

GCF of Fractions 555/630,148/609 is 37/18270

37 555, 148
15, 4

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 555,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 555,148 By Matching Biggest Common Factor Method

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 555,148 . The biggest common factor number is the GCF number.
So the greatest common factor 555,148 is 37.

Lets's calculate LCM of 630,609

3 630, 609
7 210, 203
30, 29

∴ So the LCM of the given numbers is 3 x 7 x 30 x 29 = 18270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/18270

Therefore, the GCF of Fractions 555/630,148/609 is 37/18270

Least Common Multiple of 630,609 with GCF Formula

Least Common Multiple of 630,609 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 630,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,609) = 21

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

GCF(630,609) x common factors =21 x 1 = 21

LCM(630,609) = ( 630 × 609 ) / 21

LCM(630,609) = 383670 / 21

LCM(630,609) = 18270


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 555/630, 148/609

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 555/630, 148/609?

Answer: GCF of Numerators as per given numbers 555/630, 148/609 is

GCF of Numerators i.e. for 555,148 is 37

LCM of denominators i.e. for 630,609 is 18270.

Thus, GCF of Fractions is 37/18270.Finally, GCF of Fractions for 555/630, 148/609 is 37/18270.