Greatest Common Factor of 1488/75, 2064/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1488/75, 2064/534

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 1488/75,2064/534

Given fractions are 1488/75,2064/534

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 1488,2064

Greatest Common Factor of Numerators i.e. GCF of 1488,2064 is 48 .

LCM of Denominators means LCM of 75,534 as per the given fractions.

LCM of 75,534 is 13350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1488,2064

GCF of Fractions 1488/75,2064/534 is 48/13350

2 1488, 2064
2 744, 1032
2 372, 516
2 186, 258
3 93, 129
31, 43

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Greatest Common Factor of 1488,2064 By Matching Biggest Common Factor Method

Greatest Common Factor of 1488,2064 By Matching Biggest Common Factor Method

Factors of 1488

List of positive integer factors of 1488 that divides 1488 without a remainder.

1,2,3,4,6,8,12,16,24,31,48,62,93,124,186,248,372,496,744,1488

Factors of 2064

List of positive integer factors of 2064 that divides 2064 without a remainder.

1,2,3,4,6,8,12,16,24,43,48,86,129,172,258,344,516,688,1032,2064

Greatest Common Factor

We found the factors 1488,2064 . The biggest common factor number is the GCF number.
So the greatest common factor 1488,2064 is 48.

Lets's calculate LCM of 75,534

3 75, 534
25, 178

∴ So the LCM of the given numbers is 3 x 25 x 178 = 13350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/13350

Therefore, the GCF of Fractions 1488/75,2064/534 is 48/13350

Least Common Multiple of 75,534 with GCF Formula

Least Common Multiple of 75,534 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 75,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,534) = 3

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

GCF(75,534) x common factors =3 x 1 = 3

LCM(75,534) = ( 75 × 534 ) / 3

LCM(75,534) = 40050 / 3

LCM(75,534) = 13350


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 1488/75, 2064/534

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 1488/75, 2064/534?

Answer: GCF of Numerators as per given numbers 1488/75, 2064/534 is

GCF of Numerators i.e. for 1488,2064 is 48

LCM of denominators i.e. for 75,534 is 13350.

Thus, GCF of Fractions is 48/13350.Finally, GCF of Fractions for 1488/75, 2064/534 is 48/13350.