Greatest Common Factor of 495/34, 756/66, 585/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 495/34, 756/66, 585/318

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 495/34,756/66,585/318

Given fractions are 495/34,756/66,585/318

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 495,756,585

Greatest Common Factor of Numerators i.e. GCF of 495,756,585 is 9 .

LCM of Denominators means LCM of 34,66,318 as per the given fractions.

LCM of 34,66,318 is 59466 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 495,756,585

GCF of Fractions 495/34,756/66,585/318 is 9/59466

3 495, 756, 585
3 165, 252, 195
55, 84, 65

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 495,756,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,756,585 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 495,756,585 . The biggest common factor number is the GCF number.
So the greatest common factor 495,756,585 is 9.

Lets's calculate LCM of 34,66,318

2 34, 66, 318
3 17, 33, 159
17, 11, 53

∴ So the LCM of the given numbers is 2 x 3 x 17 x 11 x 53 = 59466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/59466

Therefore, the GCF of Fractions 495/34,756/66,585/318 is 9/59466

Least Common Multiple of 34,66,318 with GCF Formula

Least Common Multiple of 34,66,318 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 34,66,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,66,318) = 2

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

GCF(34,66,318) x common factors =2 x 6 = 12

LCM(34,66,318) = ( 34 × 66 × 318 ) / 12

LCM(34,66,318) = 713592 / 12

LCM(34,66,318) = 59466


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 495/34, 756/66, 585/318

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 495/34, 756/66, 585/318?

Answer: GCF of Numerators as per given numbers 495/34, 756/66, 585/318 is

GCF of Numerators i.e. for 495,756,585 is 9

LCM of denominators i.e. for 34,66,318 is 59466.

Thus, GCF of Fractions is 9/59466.Finally, GCF of Fractions for 495/34, 756/66, 585/318 is 9/59466.