Greatest Common Factor of 1496/519, 1916/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1496/519, 1916/486

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 1496/519,1916/486

Given fractions are 1496/519,1916/486

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 1496,1916

Greatest Common Factor of Numerators i.e. GCF of 1496,1916 is 4 .

LCM of Denominators means LCM of 519,486 as per the given fractions.

LCM of 519,486 is 84078 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1496,1916

GCF of Fractions 1496/519,1916/486 is 4/84078

2 1496, 1916
2 748, 958
374, 479

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

Greatest Common Factor of 1496,1916 By Matching Biggest Common Factor Method

Greatest Common Factor of 1496,1916 By Matching Biggest Common Factor Method

Factors of 1496

List of positive integer factors of 1496 that divides 1496 without a remainder.

1,2,4,8,11,17,22,34,44,68,88,136,187,374,748,1496

Factors of 1916

List of positive integer factors of 1916 that divides 1916 without a remainder.

1,2,4,479,958,1916

Greatest Common Factor

We found the factors 1496,1916 . The biggest common factor number is the GCF number.
So the greatest common factor 1496,1916 is 4.

Lets's calculate LCM of 519,486

3 519, 486
173, 162

∴ So the LCM of the given numbers is 3 x 173 x 162 = 84078

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/84078

Therefore, the GCF of Fractions 1496/519,1916/486 is 4/84078

Least Common Multiple of 519,486 with GCF Formula

Least Common Multiple of 519,486 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 519,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,486) = 3

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

GCF(519,486) x common factors =3 x 1 = 3

LCM(519,486) = ( 519 × 486 ) / 3

LCM(519,486) = 252234 / 3

LCM(519,486) = 84078


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 1496/519, 1916/486

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 1496/519, 1916/486?

Answer: GCF of Numerators as per given numbers 1496/519, 1916/486 is

GCF of Numerators i.e. for 1496,1916 is 4

LCM of denominators i.e. for 519,486 is 84078.

Thus, GCF of Fractions is 4/84078.Finally, GCF of Fractions for 1496/519, 1916/486 is 4/84078.