Greatest Common Factor of 1856/900, 8108/4980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1856/900, 8108/4980

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 1856/900,8108/4980

Given fractions are 1856/900,8108/4980

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 1856,8108

Greatest Common Factor of Numerators i.e. GCF of 1856,8108 is 4 .

LCM of Denominators means LCM of 900,4980 as per the given fractions.

LCM of 900,4980 is 74700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1856,8108

GCF of Fractions 1856/900,8108/4980 is 4/74700

2 1856, 8108
2 928, 4054
464, 2027

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

Greatest Common Factor of 1856,8108 By Matching Biggest Common Factor Method

Greatest Common Factor of 1856,8108 By Matching Biggest Common Factor Method

Factors of 1856

List of positive integer factors of 1856 that divides 1856 without a remainder.

1,2,4,8,16,29,32,58,64,116,232,464,928,1856

Factors of 8108

List of positive integer factors of 8108 that divides 8108 without a remainder.

1,2,4,2027,4054,8108

Greatest Common Factor

We found the factors 1856,8108 . The biggest common factor number is the GCF number.
So the greatest common factor 1856,8108 is 4.

Lets's calculate LCM of 900,4980

2 900, 4980
2 450, 2490
3 225, 1245
5 75, 415
15, 83

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 15 x 83 = 74700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/74700

Therefore, the GCF of Fractions 1856/900,8108/4980 is 4/74700

Least Common Multiple of 900,4980 with GCF Formula

Least Common Multiple of 900,4980 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 900,4980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,4980) = 60

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

GCF(900,4980) x common factors =60 x 1 = 60

LCM(900,4980) = ( 900 × 4980 ) / 60

LCM(900,4980) = 4482000 / 60

LCM(900,4980) = 74700


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 1856/900, 8108/4980

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 1856/900, 8108/4980?

Answer: GCF of Numerators as per given numbers 1856/900, 8108/4980 is

GCF of Numerators i.e. for 1856,8108 is 4

LCM of denominators i.e. for 900,4980 is 74700.

Thus, GCF of Fractions is 4/74700.Finally, GCF of Fractions for 1856/900, 8108/4980 is 4/74700.