Greatest Common Factor of 148/13, 624/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 148/13, 624/899

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 148/13,624/899

Given fractions are 148/13,624/899

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 148,624

Greatest Common Factor of Numerators i.e. GCF of 148,624 is 4 .

LCM of Denominators means LCM of 13,899 as per the given fractions.

LCM of 13,899 is 11687 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 148,624

GCF of Fractions 148/13,624/899 is 4/11687

2 148, 624
2 74, 312
37, 156

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 148,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,624 By Matching Biggest Common Factor Method

Factors of 148

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

1,2,4,37,74,148

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 148,624 . The biggest common factor number is the GCF number.
So the greatest common factor 148,624 is 4.

Lets's calculate LCM of 13,899

Given numbers has no common factors except 1. So, there LCM is their product i.e 11687

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/11687

Therefore, the GCF of Fractions 148/13,624/899 is 4/11687

Least Common Multiple of 13,899 with GCF Formula

Least Common Multiple of 13,899 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 13,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,899) = 1

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

GCF(13,899) x common factors =1 x 1 = 1

LCM(13,899) = ( 13 × 899 ) / 1

LCM(13,899) = 11687 / 1

LCM(13,899) = 11687


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 148/13, 624/899

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 148/13, 624/899?

Answer: GCF of Numerators as per given numbers 148/13, 624/899 is

GCF of Numerators i.e. for 148,624 is 4

LCM of denominators i.e. for 13,899 is 11687.

Thus, GCF of Fractions is 4/11687.Finally, GCF of Fractions for 148/13, 624/899 is 4/11687.