Greatest Common Factor of 14/613, 630/433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/613, 630/433

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 14/613,630/433

Given fractions are 14/613,630/433

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 14,630

Greatest Common Factor of Numerators i.e. GCF of 14,630 is 14 .

LCM of Denominators means LCM of 613,433 as per the given fractions.

LCM of 613,433 is 265429 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,630

GCF of Fractions 14/613,630/433 is 14/265429

2 14, 630
7 7, 315
1, 45

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 14,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,630 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

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

Greatest Common Factor

We found the factors 14,630 . The biggest common factor number is the GCF number.
So the greatest common factor 14,630 is 14.

Lets's calculate LCM of 613,433

Given numbers has no common factors except 1. So, there LCM is their product i.e 265429

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/265429

Therefore, the GCF of Fractions 14/613,630/433 is 14/265429

Least Common Multiple of 613,433 with GCF Formula

Least Common Multiple of 613,433 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 613,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(613,433) = 1

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

GCF(613,433) x common factors =1 x 1 = 1

LCM(613,433) = ( 613 × 433 ) / 1

LCM(613,433) = 265429 / 1

LCM(613,433) = 265429


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 14/613, 630/433

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 14/613, 630/433?

Answer: GCF of Numerators as per given numbers 14/613, 630/433 is

GCF of Numerators i.e. for 14,630 is 14

LCM of denominators i.e. for 613,433 is 265429.

Thus, GCF of Fractions is 14/265429.Finally, GCF of Fractions for 14/613, 630/433 is 14/265429.