How to Find GCF of 3885/536, 8116/128?

GCF of 3885/536, 8116/128

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 3885/536, 8116/128 i.e 1/8576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3885/536, 8116/128.

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 3885/536,8116/128?

Given fractions are 3885/536,8116/128

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 3885/536,8116/128, numerators are 3885,8116

Denominators are 536,128

The GCF of 3885,8116 is 1 .

LCM of 536,128 is 8576.

The greatest common factor of 3885/536,8116/128 = [GCF of 3885,8116]/[LCM of 536,128]= 1/8576

Therefore, the GCF of 3885/536,8116/128 is 1/8576.

Greatest Common Factor of 3885,8116

To find the highest common factor of 3885,8116, we have to find the factors of both numbers and list the highest common factor.

The factors of 3885 are 1, 3, 5, 7, 15, 21, 35, 37, 105, 111, 185, 259, 555, 777, 1295, 3885

The factors of 8116 are 1, 2, 4, 2029, 4058, 8116

The HCF of 3885,8116 is 1.

Lets's calculate GCF of 3885,8116

Greatest Common Factor (GCF) of 3885,8116 By Common Division

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

Greatest Common Factor of 3885,8116 By Matching Biggest Common Factor Method

Now, list down the factors of 3885

1,3,5,7,15,21,35,37,105,111,185,259,555,777,1295,3885

Now, list down the factors of 8116

1,2,4,2029,4058,8116

Greatest Common Factor

We found the factors 3885,8116 . The biggest common factor number is the GCF number.
So the greatest common factor 3885,8116 is 1.

Lets's calculate LCM of 536,128

Lowest Common Multiple of 536,128 using Common Division

2	536, 128
2	268, 64
2	134, 32
	67, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 16 = 8576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8576

Therefore, the GCF of Fractions 3885/536,8116/128 is 1/8576

Least Common Multiple of 536,128 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 536,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,128) = 8

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

GCF(536,128) x common factors =8 x 1 = 8

LCM(536,128) = ( 536 × 128 ) / 8

LCM(536,128) = 68608 / 8

LCM(536,128) = 8576

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FAQs on GCF of Fractions of 3885/536, 8116/128

1. What is the HCF of 3885,8116?

The HCF of 3885,8116 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 3885/536, 8116/128?

Answer: GCF of Numerators as per given numbers 3885/536, 8116/128 is

GCF of Numerators i.e. for 3885,8116 is 1

LCM of denominators i.e. for 536,128 is 8576.

Thus, GCF of Fractions is 1/8576.Finally, GCF of Fractions for 3885/536, 8116/128 is 1/8576.