Greatest Common Factor of 109/84, 470/65, 530/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 109/84, 470/65, 530/282

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 109/84,470/65,530/282

Given fractions are 109/84,470/65,530/282

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 109,470,530

Greatest Common Factor of Numerators i.e. GCF of 109,470,530 is 1 .

LCM of Denominators means LCM of 84,65,282 as per the given fractions.

LCM of 84,65,282 is 256620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 109,470,530

GCF of Fractions 109/84,470/65,530/282 is 1/256620

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 109,470,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,470,530 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 109,470,530 . The biggest common factor number is the GCF number.
So the greatest common factor 109,470,530 is 1.

Lets's calculate LCM of 84,65,282

2 84, 65, 282
3 42, 65, 141
14, 65, 47

∴ So the LCM of the given numbers is 2 x 3 x 14 x 65 x 47 = 256620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/256620

Therefore, the GCF of Fractions 109/84,470/65,530/282 is 1/256620

Least Common Multiple of 84,65,282 with GCF Formula

Least Common Multiple of 84,65,282 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 84,65,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,65,282) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(84,65,282) x common factors =1 x 6 = 6

LCM(84,65,282) = ( 84 × 65 × 282 ) / 6

LCM(84,65,282) = 1539720 / 6

LCM(84,65,282) = 256620


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 109/84, 470/65, 530/282

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 109/84, 470/65, 530/282?

Answer: GCF of Numerators as per given numbers 109/84, 470/65, 530/282 is

GCF of Numerators i.e. for 109,470,530 is 1

LCM of denominators i.e. for 84,65,282 is 256620.

Thus, GCF of Fractions is 1/256620.Finally, GCF of Fractions for 109/84, 470/65, 530/282 is 1/256620.