Greatest Common Factor of 5808/570, 4486/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5808/570, 4486/774

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 5808/570,4486/774

Given fractions are 5808/570,4486/774

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 5808,4486

Greatest Common Factor of Numerators i.e. GCF of 5808,4486 is 2 .

LCM of Denominators means LCM of 570,774 as per the given fractions.

LCM of 570,774 is 73530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5808,4486

GCF of Fractions 5808/570,4486/774 is 2/73530

2 5808, 4486
2904, 2243

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

Greatest Common Factor of 5808,4486 By Matching Biggest Common Factor Method

Greatest Common Factor of 5808,4486 By Matching Biggest Common Factor Method

Factors of 5808

List of positive integer factors of 5808 that divides 5808 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,121,132,176,242,264,363,484,528,726,968,1452,1936,2904,5808

Factors of 4486

List of positive integer factors of 4486 that divides 4486 without a remainder.

1,2,2243,4486

Greatest Common Factor

We found the factors 5808,4486 . The biggest common factor number is the GCF number.
So the greatest common factor 5808,4486 is 2.

Lets's calculate LCM of 570,774

2 570, 774
3 285, 387
95, 129

∴ So the LCM of the given numbers is 2 x 3 x 95 x 129 = 73530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/73530

Therefore, the GCF of Fractions 5808/570,4486/774 is 2/73530

Least Common Multiple of 570,774 with GCF Formula

Least Common Multiple of 570,774 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 570,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,774) = 6

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

GCF(570,774) x common factors =6 x 1 = 6

LCM(570,774) = ( 570 × 774 ) / 6

LCM(570,774) = 441180 / 6

LCM(570,774) = 73530


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 5808/570, 4486/774

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 5808/570, 4486/774?

Answer: GCF of Numerators as per given numbers 5808/570, 4486/774 is

GCF of Numerators i.e. for 5808,4486 is 2

LCM of denominators i.e. for 570,774 is 73530.

Thus, GCF of Fractions is 2/73530.Finally, GCF of Fractions for 5808/570, 4486/774 is 2/73530.