Greatest Common Factor of 4352/86, 2104/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4352/86, 2104/858

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 4352/86,2104/858

Given fractions are 4352/86,2104/858

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 4352,2104

Greatest Common Factor of Numerators i.e. GCF of 4352,2104 is 8 .

LCM of Denominators means LCM of 86,858 as per the given fractions.

LCM of 86,858 is 36894 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4352,2104

GCF of Fractions 4352/86,2104/858 is 8/36894

2 4352, 2104
2 2176, 1052
2 1088, 526
544, 263

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4352,2104 By Matching Biggest Common Factor Method

Greatest Common Factor of 4352,2104 By Matching Biggest Common Factor Method

Factors of 4352

List of positive integer factors of 4352 that divides 4352 without a remainder.

1,2,4,8,16,17,32,34,64,68,128,136,256,272,544,1088,2176,4352

Factors of 2104

List of positive integer factors of 2104 that divides 2104 without a remainder.

1,2,4,8,263,526,1052,2104

Greatest Common Factor

We found the factors 4352,2104 . The biggest common factor number is the GCF number.
So the greatest common factor 4352,2104 is 8.

Lets's calculate LCM of 86,858

2 86, 858
43, 429

∴ So the LCM of the given numbers is 2 x 43 x 429 = 36894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/36894

Therefore, the GCF of Fractions 4352/86,2104/858 is 8/36894

Least Common Multiple of 86,858 with GCF Formula

Least Common Multiple of 86,858 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 86,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,858) = 2

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

GCF(86,858) x common factors =2 x 1 = 2

LCM(86,858) = ( 86 × 858 ) / 2

LCM(86,858) = 73788 / 2

LCM(86,858) = 36894


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 4352/86, 2104/858

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 4352/86, 2104/858?

Answer: GCF of Numerators as per given numbers 4352/86, 2104/858 is

GCF of Numerators i.e. for 4352,2104 is 8

LCM of denominators i.e. for 86,858 is 36894.

Thus, GCF of Fractions is 8/36894.Finally, GCF of Fractions for 4352/86, 2104/858 is 8/36894.