Greatest Common Factor of 1488/678, 1396/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1488/678, 1396/867

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 1488/678,1396/867

Given fractions are 1488/678,1396/867

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 1488,1396

Greatest Common Factor of Numerators i.e. GCF of 1488,1396 is 4 .

LCM of Denominators means LCM of 678,867 as per the given fractions.

LCM of 678,867 is 195942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1488,1396

GCF of Fractions 1488/678,1396/867 is 4/195942

2 1488, 1396
2 744, 698
372, 349

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

Greatest Common Factor of 1488,1396 By Matching Biggest Common Factor Method

Greatest Common Factor of 1488,1396 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 1396

List of positive integer factors of 1396 that divides 1396 without a remainder.

1,2,4,349,698,1396

Greatest Common Factor

We found the factors 1488,1396 . The biggest common factor number is the GCF number.
So the greatest common factor 1488,1396 is 4.

Lets's calculate LCM of 678,867

3 678, 867
226, 289

∴ So the LCM of the given numbers is 3 x 226 x 289 = 195942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/195942

Therefore, the GCF of Fractions 1488/678,1396/867 is 4/195942

Least Common Multiple of 678,867 with GCF Formula

Least Common Multiple of 678,867 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 678,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,867) = 3

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

GCF(678,867) x common factors =3 x 1 = 3

LCM(678,867) = ( 678 × 867 ) / 3

LCM(678,867) = 587826 / 3

LCM(678,867) = 195942


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 1488/678, 1396/867

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 1488/678, 1396/867?

Answer: GCF of Numerators as per given numbers 1488/678, 1396/867 is

GCF of Numerators i.e. for 1488,1396 is 4

LCM of denominators i.e. for 678,867 is 195942.

Thus, GCF of Fractions is 4/195942.Finally, GCF of Fractions for 1488/678, 1396/867 is 4/195942.