Greatest Common Factor of 2728/569, 6660/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2728/569, 6660/250

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 2728/569,6660/250

Given fractions are 2728/569,6660/250

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 2728,6660

Greatest Common Factor of Numerators i.e. GCF of 2728,6660 is 4 .

LCM of Denominators means LCM of 569,250 as per the given fractions.

LCM of 569,250 is 142250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2728,6660

GCF of Fractions 2728/569,6660/250 is 4/142250

2 2728, 6660
2 1364, 3330
682, 1665

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

Greatest Common Factor of 2728,6660 By Matching Biggest Common Factor Method

Greatest Common Factor of 2728,6660 By Matching Biggest Common Factor Method

Factors of 2728

List of positive integer factors of 2728 that divides 2728 without a remainder.

1,2,4,8,11,22,31,44,62,88,124,248,341,682,1364,2728

Factors of 6660

List of positive integer factors of 6660 that divides 6660 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,37,45,60,74,90,111,148,180,185,222,333,370,444,555,666,740,1110,1332,1665,2220,3330,6660

Greatest Common Factor

We found the factors 2728,6660 . The biggest common factor number is the GCF number.
So the greatest common factor 2728,6660 is 4.

Lets's calculate LCM of 569,250

Given numbers has no common factors except 1. So, there LCM is their product i.e 142250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/142250

Therefore, the GCF of Fractions 2728/569,6660/250 is 4/142250

Least Common Multiple of 569,250 with GCF Formula

Least Common Multiple of 569,250 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 569,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,250) = 1

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

GCF(569,250) x common factors =1 x 1 = 1

LCM(569,250) = ( 569 × 250 ) / 1

LCM(569,250) = 142250 / 1

LCM(569,250) = 142250


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 2728/569, 6660/250

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 2728/569, 6660/250?

Answer: GCF of Numerators as per given numbers 2728/569, 6660/250 is

GCF of Numerators i.e. for 2728,6660 is 4

LCM of denominators i.e. for 569,250 is 142250.

Thus, GCF of Fractions is 4/142250.Finally, GCF of Fractions for 2728/569, 6660/250 is 4/142250.