Greatest Common Factor of 3856/216, 4211/8632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3856/216, 4211/8632

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 3856/216,4211/8632

Given fractions are 3856/216,4211/8632

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3856,4211

Greatest Common Factor of Numerators i.e. GCF of 3856,4211 is 1 .

LCM of Denominators means LCM of 216,8632 as per the given fractions.

LCM of 216,8632 is 233064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3856,4211

GCF of Fractions 3856/216,4211/8632 is 1/233064

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

Greatest Common Factor of 3856,4211 By Matching Biggest Common Factor Method

Greatest Common Factor of 3856,4211 By Matching Biggest Common Factor Method

Factors of 3856

List of positive integer factors of 3856 that divides 3856 without a remainder.

1,2,4,8,16,241,482,964,1928,3856

Factors of 4211

List of positive integer factors of 4211 that divides 4211 without a remainder.

1,4211

Greatest Common Factor

We found the factors 3856,4211 . The biggest common factor number is the GCF number.
So the greatest common factor 3856,4211 is 1.

Lets's calculate LCM of 216,8632

2 216, 8632
2 108, 4316
2 54, 2158
27, 1079

∴ So the LCM of the given numbers is 2 x 2 x 2 x 27 x 1079 = 233064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233064

Therefore, the GCF of Fractions 3856/216,4211/8632 is 1/233064

Least Common Multiple of 216,8632 with GCF Formula

Least Common Multiple of 216,8632 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 216,8632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,8632) = 8

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

GCF(216,8632) x common factors =8 x 1 = 8

LCM(216,8632) = ( 216 × 8632 ) / 8

LCM(216,8632) = 1864512 / 8

LCM(216,8632) = 233064


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3856/216, 4211/8632

1. 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.

2. What is the GCF of Fractions for 3856/216, 4211/8632?

Answer: GCF of Numerators as per given numbers 3856/216, 4211/8632 is

GCF of Numerators i.e. for 3856,4211 is 1

LCM of denominators i.e. for 216,8632 is 233064.

Thus, GCF of Fractions is 1/233064.Finally, GCF of Fractions for 3856/216, 4211/8632 is 1/233064.