LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 82/954, 83/4604

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 82/954, 83/4604 i.e 1/2196108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/954, 83/4604.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 82/954,83/4604?

Given fractions are 82/954,83/4604

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 82/954,83/4604, numerators are 82,83

Denominators are 954,4604

The GCF of 82,83 is 1 .

LCM of 954,4604 is 2196108.

The greatest common factor of 82/954,83/4604 = [GCF of 82,83]/[LCM of 954,4604]= 1/2196108

Therefore, the GCF of 82/954,83/4604 is 1/2196108.

Greatest Common Factor of 82,83

To find the highest common factor of 82,83, we have to find the factors of both numbers and list the highest common factor.

The factors of 82 are 1, 2, 41, 82

The factors of 83 are 1, 83

The HCF of 82,83 is 1.

Lets's calculate GCF of 82,83

Greatest Common Factor (GCF) of 82,83 By Common Division

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

Greatest Common Factor of 82,83 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,83 By Matching Biggest Common Factor Method

Now, list down the factors of 82

:

1,2,41,82

Now, list down the factors of 83

:

1,83

Greatest Common Factor

We found the factors 82,83 . The biggest common factor number is the GCF number.
So the greatest common factor 82,83 is 1.

Lets's calculate LCM of 954,4604

Lowest Common Multiple of 954,4604 using Common Division

2 954, 4604
477, 2302

∴ So the LCM of the given numbers is 2 x 477 x 2302 = 2196108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2196108

Therefore, the GCF of Fractions 82/954,83/4604 is 1/2196108

Least Common Multiple of 954,4604 with GCF Formula

Least Common Multiple of 954,4604 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 954,4604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(954,4604) = 2

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

GCF(954,4604) x common factors =2 x 1 = 2

LCM(954,4604) = ( 954 × 4604 ) / 2

LCM(954,4604) = 4392216 / 2

LCM(954,4604) = 2196108


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 82/954, 83/4604

1. What is the HCF of 82,83?

The HCF of 82,83 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 82/954, 83/4604?

Answer: GCF of Numerators as per given numbers 82/954, 83/4604 is

GCF of Numerators i.e. for 82,83 is 1

LCM of denominators i.e. for 954,4604 is 2196108.

Thus, GCF of Fractions is 1/2196108.Finally, GCF of Fractions for 82/954, 83/4604 is 1/2196108.