Greatest Common Factor of 3865/16, 9100/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3865/16, 9100/858

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 3865/16,9100/858

Given fractions are 3865/16,9100/858

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 3865,9100

Greatest Common Factor of Numerators i.e. GCF of 3865,9100 is 5 .

LCM of Denominators means LCM of 16,858 as per the given fractions.

LCM of 16,858 is 6864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3865,9100

GCF of Fractions 3865/16,9100/858 is 5/6864

5 3865, 9100
773, 1820

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3865,9100 By Matching Biggest Common Factor Method

Greatest Common Factor of 3865,9100 By Matching Biggest Common Factor Method

Factors of 3865

List of positive integer factors of 3865 that divides 3865 without a remainder.

1,5,773,3865

Factors of 9100

List of positive integer factors of 9100 that divides 9100 without a remainder.

1,2,4,5,7,10,13,14,20,25,26,28,35,50,52,65,70,91,100,130,140,175,182,260,325,350,364,455,650,700,910,1300,1820,2275,4550,9100

Greatest Common Factor

We found the factors 3865,9100 . The biggest common factor number is the GCF number.
So the greatest common factor 3865,9100 is 5.

Lets's calculate LCM of 16,858

2 16, 858
8, 429

∴ So the LCM of the given numbers is 2 x 8 x 429 = 6864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6864

Therefore, the GCF of Fractions 3865/16,9100/858 is 5/6864

Least Common Multiple of 16,858 with GCF Formula

Least Common Multiple of 16,858 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 16,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,858) = 2

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

GCF(16,858) x common factors =2 x 1 = 2

LCM(16,858) = ( 16 × 858 ) / 2

LCM(16,858) = 13728 / 2

LCM(16,858) = 6864


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 3865/16, 9100/858

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 3865/16, 9100/858?

Answer: GCF of Numerators as per given numbers 3865/16, 9100/858 is

GCF of Numerators i.e. for 3865,9100 is 5

LCM of denominators i.e. for 16,858 is 6864.

Thus, GCF of Fractions is 5/6864.Finally, GCF of Fractions for 3865/16, 9100/858 is 5/6864.