Greatest Common Factor of 3413/182, 1618/9900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3413/182, 1618/9900

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 3413/182,1618/9900

Given fractions are 3413/182,1618/9900

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 3413,1618

Greatest Common Factor of Numerators i.e. GCF of 3413,1618 is 1 .

LCM of Denominators means LCM of 182,9900 as per the given fractions.

LCM of 182,9900 is 900900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3413,1618

GCF of Fractions 3413/182,1618/9900 is 1/900900

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

Greatest Common Factor of 3413,1618 By Matching Biggest Common Factor Method

Greatest Common Factor of 3413,1618 By Matching Biggest Common Factor Method

Factors of 3413

List of positive integer factors of 3413 that divides 3413 without a remainder.

1,3413

Factors of 1618

List of positive integer factors of 1618 that divides 1618 without a remainder.

1,2,809,1618

Greatest Common Factor

We found the factors 3413,1618 . The biggest common factor number is the GCF number.
So the greatest common factor 3413,1618 is 1.

Lets's calculate LCM of 182,9900

2 182, 9900
91, 4950

∴ So the LCM of the given numbers is 2 x 91 x 4950 = 900900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/900900

Therefore, the GCF of Fractions 3413/182,1618/9900 is 1/900900

Least Common Multiple of 182,9900 with GCF Formula

Least Common Multiple of 182,9900 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 182,9900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,9900) = 2

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

GCF(182,9900) x common factors =2 x 1 = 2

LCM(182,9900) = ( 182 × 9900 ) / 2

LCM(182,9900) = 1801800 / 2

LCM(182,9900) = 900900


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 3413/182, 1618/9900

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 3413/182, 1618/9900?

Answer: GCF of Numerators as per given numbers 3413/182, 1618/9900 is

GCF of Numerators i.e. for 3413,1618 is 1

LCM of denominators i.e. for 182,9900 is 900900.

Thus, GCF of Fractions is 1/900900.Finally, GCF of Fractions for 3413/182, 1618/9900 is 1/900900.