Greatest Common Factor of 1764/66, 6587/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1764/66, 6587/516

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 1764/66,6587/516

Given fractions are 1764/66,6587/516

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 1764,6587

Greatest Common Factor of Numerators i.e. GCF of 1764,6587 is 7 .

LCM of Denominators means LCM of 66,516 as per the given fractions.

LCM of 66,516 is 5676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1764,6587

GCF of Fractions 1764/66,6587/516 is 7/5676

7 1764, 6587
252, 941

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 1764,6587 By Matching Biggest Common Factor Method

Greatest Common Factor of 1764,6587 By Matching Biggest Common Factor Method

Factors of 1764

List of positive integer factors of 1764 that divides 1764 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,49,63,84,98,126,147,196,252,294,441,588,882,1764

Factors of 6587

List of positive integer factors of 6587 that divides 6587 without a remainder.

1,7,941,6587

Greatest Common Factor

We found the factors 1764,6587 . The biggest common factor number is the GCF number.
So the greatest common factor 1764,6587 is 7.

Lets's calculate LCM of 66,516

2 66, 516
3 33, 258
11, 86

∴ So the LCM of the given numbers is 2 x 3 x 11 x 86 = 5676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5676

Therefore, the GCF of Fractions 1764/66,6587/516 is 7/5676

Least Common Multiple of 66,516 with GCF Formula

Least Common Multiple of 66,516 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 66,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,516) = 6

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

GCF(66,516) x common factors =6 x 1 = 6

LCM(66,516) = ( 66 × 516 ) / 6

LCM(66,516) = 34056 / 6

LCM(66,516) = 5676


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 1764/66, 6587/516

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 1764/66, 6587/516?

Answer: GCF of Numerators as per given numbers 1764/66, 6587/516 is

GCF of Numerators i.e. for 1764,6587 is 7

LCM of denominators i.e. for 66,516 is 5676.

Thus, GCF of Fractions is 7/5676.Finally, GCF of Fractions for 1764/66, 6587/516 is 7/5676.