Greatest Common Factor of 1516/705, 5884/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1516/705, 5884/464

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 1516/705,5884/464

Given fractions are 1516/705,5884/464

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 1516,5884

Greatest Common Factor of Numerators i.e. GCF of 1516,5884 is 4 .

LCM of Denominators means LCM of 705,464 as per the given fractions.

LCM of 705,464 is 327120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1516,5884

GCF of Fractions 1516/705,5884/464 is 4/327120

2 1516, 5884
2 758, 2942
379, 1471

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

Greatest Common Factor of 1516,5884 By Matching Biggest Common Factor Method

Greatest Common Factor of 1516,5884 By Matching Biggest Common Factor Method

Factors of 1516

List of positive integer factors of 1516 that divides 1516 without a remainder.

1,2,4,379,758,1516

Factors of 5884

List of positive integer factors of 5884 that divides 5884 without a remainder.

1,2,4,1471,2942,5884

Greatest Common Factor

We found the factors 1516,5884 . The biggest common factor number is the GCF number.
So the greatest common factor 1516,5884 is 4.

Lets's calculate LCM of 705,464

Given numbers has no common factors except 1. So, there LCM is their product i.e 327120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/327120

Therefore, the GCF of Fractions 1516/705,5884/464 is 4/327120

Least Common Multiple of 705,464 with GCF Formula

Least Common Multiple of 705,464 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 705,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,464) = 1

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

GCF(705,464) x common factors =1 x 1 = 1

LCM(705,464) = ( 705 × 464 ) / 1

LCM(705,464) = 327120 / 1

LCM(705,464) = 327120


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 1516/705, 5884/464

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 1516/705, 5884/464?

Answer: GCF of Numerators as per given numbers 1516/705, 5884/464 is

GCF of Numerators i.e. for 1516,5884 is 4

LCM of denominators i.e. for 705,464 is 327120.

Thus, GCF of Fractions is 4/327120.Finally, GCF of Fractions for 1516/705, 5884/464 is 4/327120.