Greatest Common Factor of 562/209, 510/269, 702/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 562/209, 510/269, 702/288

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 562/209,510/269,702/288

Given fractions are 562/209,510/269,702/288

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 562,510,702

Greatest Common Factor of Numerators i.e. GCF of 562,510,702 is 2 .

LCM of Denominators means LCM of 209,269,288 as per the given fractions.

LCM of 209,269,288 is 16191648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 562,510,702

GCF of Fractions 562/209,510/269,702/288 is 2/16191648

2 562, 510, 702
281, 255, 351

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

Greatest Common Factor of 562,510,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,510,702 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 562,510,702 . The biggest common factor number is the GCF number.
So the greatest common factor 562,510,702 is 2.

Lets's calculate LCM of 209,269,288

Given numbers has no common factors except 1. So, there LCM is their product i.e 16191648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16191648

Therefore, the GCF of Fractions 562/209,510/269,702/288 is 2/16191648

Least Common Multiple of 209,269,288 with GCF Formula

Least Common Multiple of 209,269,288 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 209,269,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,269,288) = 1

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

GCF(209,269,288) x common factors =1 x 1 = 1

LCM(209,269,288) = ( 209 × 269 × 288 ) / 1

LCM(209,269,288) = 16191648 / 1

LCM(209,269,288) = 16191648


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 562/209, 510/269, 702/288

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 562/209, 510/269, 702/288?

Answer: GCF of Numerators as per given numbers 562/209, 510/269, 702/288 is

GCF of Numerators i.e. for 562,510,702 is 2

LCM of denominators i.e. for 209,269,288 is 16191648.

Thus, GCF of Fractions is 2/16191648.Finally, GCF of Fractions for 562/209, 510/269, 702/288 is 2/16191648.