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GCF of 636/76, 380/216

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 636/76, 380/216 i.e 4/4104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 636/76, 380/216.

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 636/76,380/216?

Given fractions are 636/76,380/216

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 636/76,380/216, numerators are 636,380

Denominators are 76,216

The GCF of 636,380 is 4 .

LCM of 76,216 is 4104.

The greatest common factor of 636/76,380/216 = [GCF of 636,380]/[LCM of 76,216]= 4/4104

Therefore, the GCF of 636/76,380/216 is 4/4104.

Greatest Common Factor of 636,380

To find the highest common factor of 636,380, we have to find the factors of both numbers and list the highest common factor.

The factors of 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

The factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

The HCF of 636,380 is 4.

Lets's calculate GCF of 636,380

Greatest Common Factor (GCF) of 636,380 By Common Division

2 636, 380
2 318, 190
159, 95

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 636,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,380 By Matching Biggest Common Factor Method

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 380

:

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 636,380 . The biggest common factor number is the GCF number.
So the greatest common factor 636,380 is 4.


Lets's calculate LCM of 76,216

Lowest Common Multiple of 76,216 using Common Division

2 76, 216
2 38, 108
19, 54

∴ So the LCM of the given numbers is 2 x 2 x 19 x 54 = 4104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4104

Therefore, the GCF of Fractions 636/76,380/216 is 4/4104

Least Common Multiple of 76,216 with GCF Formula

Least Common Multiple of 76,216 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 76,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,216) = 4

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

GCF(76,216) x common factors =4 x 1 = 4

LCM(76,216) = ( 76 × 216 ) / 4

LCM(76,216) = 16416 / 4

LCM(76,216) = 4104


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 636/76, 380/216

1. What is the HCF of 636,380?

The HCF of 636,380 is 4

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 636/76, 380/216?

Answer: GCF of Numerators as per given numbers 636/76, 380/216 is

GCF of Numerators i.e. for 636,380 is 4

LCM of denominators i.e. for 76,216 is 4104.

Thus, GCF of Fractions is 4/4104.Finally, GCF of Fractions for 636/76, 380/216 is 4/4104.