Greatest Common Factor of 630/99, 305/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 630/99, 305/508

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 630/99,305/508

Given fractions are 630/99,305/508

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 630,305

Greatest Common Factor of Numerators i.e. GCF of 630,305 is 5 .

LCM of Denominators means LCM of 99,508 as per the given fractions.

LCM of 99,508 is 50292 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 630,305

GCF of Fractions 630/99,305/508 is 5/50292

5 630, 305
126, 61

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 630,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,305 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 630,305 . The biggest common factor number is the GCF number.
So the greatest common factor 630,305 is 5.

Lets's calculate LCM of 99,508

Given numbers has no common factors except 1. So, there LCM is their product i.e 50292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/50292

Therefore, the GCF of Fractions 630/99,305/508 is 5/50292

Least Common Multiple of 99,508 with GCF Formula

Least Common Multiple of 99,508 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 99,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,508) = 1

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

GCF(99,508) x common factors =1 x 1 = 1

LCM(99,508) = ( 99 × 508 ) / 1

LCM(99,508) = 50292 / 1

LCM(99,508) = 50292


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 630/99, 305/508

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 630/99, 305/508?

Answer: GCF of Numerators as per given numbers 630/99, 305/508 is

GCF of Numerators i.e. for 630,305 is 5

LCM of denominators i.e. for 99,508 is 50292.

Thus, GCF of Fractions is 5/50292.Finally, GCF of Fractions for 630/99, 305/508 is 5/50292.