Greatest Common Factor of 9840/570, 1588/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9840/570, 1588/457

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 9840/570,1588/457

Given fractions are 9840/570,1588/457

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 9840,1588

Greatest Common Factor of Numerators i.e. GCF of 9840,1588 is 4 .

LCM of Denominators means LCM of 570,457 as per the given fractions.

LCM of 570,457 is 260490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9840,1588

GCF of Fractions 9840/570,1588/457 is 4/260490

2 9840, 1588
2 4920, 794
2460, 397

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

Greatest Common Factor of 9840,1588 By Matching Biggest Common Factor Method

Greatest Common Factor of 9840,1588 By Matching Biggest Common Factor Method

Factors of 9840

List of positive integer factors of 9840 that divides 9840 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,41,48,60,80,82,120,123,164,205,240,246,328,410,492,615,656,820,984,1230,1640,1968,2460,3280,4920,9840

Factors of 1588

List of positive integer factors of 1588 that divides 1588 without a remainder.

1,2,4,397,794,1588

Greatest Common Factor

We found the factors 9840,1588 . The biggest common factor number is the GCF number.
So the greatest common factor 9840,1588 is 4.

Lets's calculate LCM of 570,457

Given numbers has no common factors except 1. So, there LCM is their product i.e 260490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/260490

Therefore, the GCF of Fractions 9840/570,1588/457 is 4/260490

Least Common Multiple of 570,457 with GCF Formula

Least Common Multiple of 570,457 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 570,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,457) = 1

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

GCF(570,457) x common factors =1 x 1 = 1

LCM(570,457) = ( 570 × 457 ) / 1

LCM(570,457) = 260490 / 1

LCM(570,457) = 260490


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 9840/570, 1588/457

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 9840/570, 1588/457?

Answer: GCF of Numerators as per given numbers 9840/570, 1588/457 is

GCF of Numerators i.e. for 9840,1588 is 4

LCM of denominators i.e. for 570,457 is 260490.

Thus, GCF of Fractions is 4/260490.Finally, GCF of Fractions for 9840/570, 1588/457 is 4/260490.