Greatest Common Factor of 6412/542, 1248/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6412/542, 1248/149

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 6412/542,1248/149

Given fractions are 6412/542,1248/149

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 6412,1248

Greatest Common Factor of Numerators i.e. GCF of 6412,1248 is 4 .

LCM of Denominators means LCM of 542,149 as per the given fractions.

LCM of 542,149 is 80758 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6412,1248

GCF of Fractions 6412/542,1248/149 is 4/80758

2 6412, 1248
2 3206, 624
1603, 312

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

Greatest Common Factor of 6412,1248 By Matching Biggest Common Factor Method

Greatest Common Factor of 6412,1248 By Matching Biggest Common Factor Method

Factors of 6412

List of positive integer factors of 6412 that divides 6412 without a remainder.

1,2,4,7,14,28,229,458,916,1603,3206,6412

Factors of 1248

List of positive integer factors of 1248 that divides 1248 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,78,96,104,156,208,312,416,624,1248

Greatest Common Factor

We found the factors 6412,1248 . The biggest common factor number is the GCF number.
So the greatest common factor 6412,1248 is 4.

Lets's calculate LCM of 542,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 80758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/80758

Therefore, the GCF of Fractions 6412/542,1248/149 is 4/80758

Least Common Multiple of 542,149 with GCF Formula

Least Common Multiple of 542,149 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 542,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,149) = 1

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

GCF(542,149) x common factors =1 x 1 = 1

LCM(542,149) = ( 542 × 149 ) / 1

LCM(542,149) = 80758 / 1

LCM(542,149) = 80758


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 6412/542, 1248/149

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 6412/542, 1248/149?

Answer: GCF of Numerators as per given numbers 6412/542, 1248/149 is

GCF of Numerators i.e. for 6412,1248 is 4

LCM of denominators i.e. for 542,149 is 80758.

Thus, GCF of Fractions is 4/80758.Finally, GCF of Fractions for 6412/542, 1248/149 is 4/80758.