How to Find GCF of 82/64, 636/28, 912/845?

GCF of 82/64, 636/28, 912/845

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 82/64, 636/28, 912/845 i.e 2/378560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/64, 636/28, 912/845.

Enter two or more fractions separated by "commas"

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

What is the GCF of 82/64,636/28,912/845?

Given fractions are 82/64,636/28,912/845

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 82/64,636/28,912/845, numerators are 82,636,912

Denominators are 64,28,845

The GCF of 82,636,912 is 2 .

LCM of 64,28,845 is 378560.

The greatest common factor of 82/64,636/28,912/845 = [GCF of 82,636,912]/[LCM of 64,28,845]= 2/378560

Therefore, the GCF of 82/64,636/28,912/845 is 2/378560.

Greatest Common Factor of 82,636,912

To find the highest common factor of 82,636,912, 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 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

The HCF of 82,636,912 is 2.

Lets's calculate GCF of 82,636,912

Greatest Common Factor (GCF) of 82,636,912 By Common Division

2	82, 636, 912
	41, 318, 456

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

Greatest Common Factor of 82,636,912 By Matching Biggest Common Factor Method

Now, list down the factors of 82

1,2,41,82

Now, list down the factors of 636

1,2,3,4,6,12,53,106,159,212,318,636

Now, list down the factors of 912

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 82,636,912 . The biggest common factor number is the GCF number.
So the greatest common factor 82,636,912 is 2.

Lets's calculate LCM of 64,28,845

Lowest Common Multiple of 64,28,845 using Common Division

2	64, 28, 845
2	32, 14, 845
	16, 7, 845

∴ So the LCM of the given numbers is 2 x 2 x 16 x 7 x 845 = 378560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/378560

Therefore, the GCF of Fractions 82/64,636/28,912/845 is 2/378560

Least Common Multiple of 64,28,845 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 64,28,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,28,845) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,28,845) x common factors =1 x 4 = 4

LCM(64,28,845) = ( 64 × 28 × 845 ) / 4

LCM(64,28,845) = 1514240 / 4

LCM(64,28,845) = 378560

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 82/64, 636/28, 912/845

1. What is the HCF of 82,636,912?

The HCF of 82,636,912 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 82/64, 636/28, 912/845?

Answer: GCF of Numerators as per given numbers 82/64, 636/28, 912/845 is

GCF of Numerators i.e. for 82,636,912 is 2

LCM of denominators i.e. for 64,28,845 is 378560.

Thus, GCF of Fractions is 2/378560.Finally, GCF of Fractions for 82/64, 636/28, 912/845 is 2/378560.