LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 27/820, 64/5346

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 27/820, 64/5346 i.e 1/2191860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/820, 64/5346.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 27/820,64/5346?

Given fractions are 27/820,64/5346

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 27/820,64/5346, numerators are 27,64

Denominators are 820,5346

The GCF of 27,64 is 1 .

LCM of 820,5346 is 2191860.

The greatest common factor of 27/820,64/5346 = [GCF of 27,64]/[LCM of 820,5346]= 1/2191860

Therefore, the GCF of 27/820,64/5346 is 1/2191860.

Greatest Common Factor of 27,64

To find the highest common factor of 27,64, we have to find the factors of both numbers and list the highest common factor.

The factors of 27 are 1, 3, 9, 27

The factors of 64 are 1, 2, 4, 8, 16, 32, 64

The HCF of 27,64 is 1.

Lets's calculate GCF of 27,64

Greatest Common Factor (GCF) of 27,64 By Common Division

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

Greatest Common Factor of 27,64 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,64 By Matching Biggest Common Factor Method

Now, list down the factors of 27

:

1,3,9,27

Now, list down the factors of 64

:

1,2,4,8,16,32,64

Greatest Common Factor

We found the factors 27,64 . The biggest common factor number is the GCF number.
So the greatest common factor 27,64 is 1.

Lets's calculate LCM of 820,5346

Lowest Common Multiple of 820,5346 using Common Division

2 820, 5346
410, 2673

∴ So the LCM of the given numbers is 2 x 410 x 2673 = 2191860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2191860

Therefore, the GCF of Fractions 27/820,64/5346 is 1/2191860

Least Common Multiple of 820,5346 with GCF Formula

Least Common Multiple of 820,5346 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 820,5346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,5346) = 2

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

GCF(820,5346) x common factors =2 x 1 = 2

LCM(820,5346) = ( 820 × 5346 ) / 2

LCM(820,5346) = 4383720 / 2

LCM(820,5346) = 2191860


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 27/820, 64/5346

1. What is the HCF of 27,64?

The HCF of 27,64 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 27/820, 64/5346?

Answer: GCF of Numerators as per given numbers 27/820, 64/5346 is

GCF of Numerators i.e. for 27,64 is 1

LCM of denominators i.e. for 820,5346 is 2191860.

Thus, GCF of Fractions is 1/2191860.Finally, GCF of Fractions for 27/820, 64/5346 is 1/2191860.