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GCF of 82/30, 80/535, 364/856

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 82/30, 80/535, 364/856 i.e 2/12840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/30, 80/535, 364/856.

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 82/30,80/535,364/856?

Given fractions are 82/30,80/535,364/856

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 82/30,80/535,364/856, numerators are 82,80,364

Denominators are 30,535,856

The GCF of 82,80,364 is 2 .

LCM of 30,535,856 is 12840.

The greatest common factor of 82/30,80/535,364/856 = [GCF of 82,80,364]/[LCM of 30,535,856]= 2/12840

Therefore, the GCF of 82/30,80/535,364/856 is 2/12840.

Greatest Common Factor of 82,80,364

To find the highest common factor of 82,80,364, we have to find the factors of both numbers and list the highest common factor.

The factors of 82 are 1, 2, 41, 82

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

The HCF of 82,80,364 is 2.

Lets's calculate GCF of 82,80,364

Greatest Common Factor (GCF) of 82,80,364 By Common Division

2 82, 80, 364
41, 40, 182

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

Greatest Common Factor of 82,80,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,80,364 By Matching Biggest Common Factor Method

Now, list down the factors of 82

:

1,2,41,82

Now, list down the factors of 80

:

1,2,4,5,8,10,16,20,40,80

Now, list down the factors of 364

:

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 82,80,364 . The biggest common factor number is the GCF number.
So the greatest common factor 82,80,364 is 2.


Lets's calculate LCM of 30,535,856

Lowest Common Multiple of 30,535,856 using Common Division

2 30, 535, 856
5 15, 535, 428
107 3, 107, 428
3, 1, 4

∴ So the LCM of the given numbers is 2 x 5 x 107 x 3 x 1 x 4 = 12840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12840

Therefore, the GCF of Fractions 82/30,80/535,364/856 is 2/12840

Least Common Multiple of 30,535,856 with GCF Formula

Least Common Multiple of 30,535,856 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 30,535,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,535,856) = 1

common factors(in case of two or more numbers have common factors) = 1070

GCF(30,535,856) x common factors =1 x 1070 = 1070

LCM(30,535,856) = ( 30 × 535 × 856 ) / 1070

LCM(30,535,856) = 13738800 / 1070

LCM(30,535,856) = 12840


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 82/30, 80/535, 364/856

1. What is the HCF of 82,80,364?

The HCF of 82,80,364 is 2

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 82/30, 80/535, 364/856?

Answer: GCF of Numerators as per given numbers 82/30, 80/535, 364/856 is

GCF of Numerators i.e. for 82,80,364 is 2

LCM of denominators i.e. for 30,535,856 is 12840.

Thus, GCF of Fractions is 2/12840.Finally, GCF of Fractions for 82/30, 80/535, 364/856 is 2/12840.