Greatest Common Factor of 629/58, 888/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 629/58, 888/213

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 629/58,888/213

Given fractions are 629/58,888/213

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 629,888

Greatest Common Factor of Numerators i.e. GCF of 629,888 is 37 .

LCM of Denominators means LCM of 58,213 as per the given fractions.

LCM of 58,213 is 12354 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 629,888

GCF of Fractions 629/58,888/213 is 37/12354

37 629, 888
17, 24

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

Greatest Common Factor of 629,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,888 By Matching Biggest Common Factor Method

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 629,888 . The biggest common factor number is the GCF number.
So the greatest common factor 629,888 is 37.

Lets's calculate LCM of 58,213

Given numbers has no common factors except 1. So, there LCM is their product i.e 12354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/12354

Therefore, the GCF of Fractions 629/58,888/213 is 37/12354

Least Common Multiple of 58,213 with GCF Formula

Least Common Multiple of 58,213 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 58,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,213) = 1

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

GCF(58,213) x common factors =1 x 1 = 1

LCM(58,213) = ( 58 × 213 ) / 1

LCM(58,213) = 12354 / 1

LCM(58,213) = 12354


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 629/58, 888/213

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 629/58, 888/213?

Answer: GCF of Numerators as per given numbers 629/58, 888/213 is

GCF of Numerators i.e. for 629,888 is 37

LCM of denominators i.e. for 58,213 is 12354.

Thus, GCF of Fractions is 37/12354.Finally, GCF of Fractions for 629/58, 888/213 is 37/12354.