Greatest Common Factor of 528/36, 670/6168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 528/36, 670/6168

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 528/36,670/6168

Given fractions are 528/36,670/6168

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 528,670

Greatest Common Factor of Numerators i.e. GCF of 528,670 is 2 .

LCM of Denominators means LCM of 36,6168 as per the given fractions.

LCM of 36,6168 is 18504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 528,670

GCF of Fractions 528/36,670/6168 is 2/18504

2 528, 670
264, 335

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

Greatest Common Factor of 528,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,670 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 528,670 . The biggest common factor number is the GCF number.
So the greatest common factor 528,670 is 2.

Lets's calculate LCM of 36,6168

2 36, 6168
2 18, 3084
3 9, 1542
3, 514

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 514 = 18504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18504

Therefore, the GCF of Fractions 528/36,670/6168 is 2/18504

Least Common Multiple of 36,6168 with GCF Formula

Least Common Multiple of 36,6168 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 36,6168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,6168) = 12

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

GCF(36,6168) x common factors =12 x 1 = 12

LCM(36,6168) = ( 36 × 6168 ) / 12

LCM(36,6168) = 222048 / 12

LCM(36,6168) = 18504


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 528/36, 670/6168

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 528/36, 670/6168?

Answer: GCF of Numerators as per given numbers 528/36, 670/6168 is

GCF of Numerators i.e. for 528,670 is 2

LCM of denominators i.e. for 36,6168 is 18504.

Thus, GCF of Fractions is 2/18504.Finally, GCF of Fractions for 528/36, 670/6168 is 2/18504.