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 5833/981, 2417/777

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 5833/981, 2417/777 i.e 1/254079 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5833/981, 2417/777.

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 5833/981,2417/777?

Given fractions are 5833/981,2417/777

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 5833/981,2417/777, numerators are 5833,2417

Denominators are 981,777

The GCF of 5833,2417 is 1 .

LCM of 981,777 is 254079.

The greatest common factor of 5833/981,2417/777 = [GCF of 5833,2417]/[LCM of 981,777]= 1/254079

Therefore, the GCF of 5833/981,2417/777 is 1/254079.

Greatest Common Factor of 5833,2417

To find the highest common factor of 5833,2417, we have to find the factors of both numbers and list the highest common factor.

The factors of 5833 are 1, 19, 307, 5833

The factors of 2417 are 1, 2417

The HCF of 5833,2417 is 1.

Lets's calculate GCF of 5833,2417

Greatest Common Factor (GCF) of 5833,2417 By Common Division

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

Greatest Common Factor of 5833,2417 By Matching Biggest Common Factor Method

Greatest Common Factor of 5833,2417 By Matching Biggest Common Factor Method

Now, list down the factors of 5833

:

1,19,307,5833

Now, list down the factors of 2417

:

1,2417

Greatest Common Factor

We found the factors 5833,2417 . The biggest common factor number is the GCF number.
So the greatest common factor 5833,2417 is 1.

Lets's calculate LCM of 981,777

Lowest Common Multiple of 981,777 using Common Division

3 981, 777
327, 259

∴ So the LCM of the given numbers is 3 x 327 x 259 = 254079

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/254079

Therefore, the GCF of Fractions 5833/981,2417/777 is 1/254079

Least Common Multiple of 981,777 with GCF Formula

Least Common Multiple of 981,777 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 981,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,777) = 3

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

GCF(981,777) x common factors =3 x 1 = 3

LCM(981,777) = ( 981 × 777 ) / 3

LCM(981,777) = 762237 / 3

LCM(981,777) = 254079


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5833/981, 2417/777

1. What is the HCF of 5833,2417?

The HCF of 5833,2417 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 5833/981, 2417/777?

Answer: GCF of Numerators as per given numbers 5833/981, 2417/777 is

GCF of Numerators i.e. for 5833,2417 is 1

LCM of denominators i.e. for 981,777 is 254079.

Thus, GCF of Fractions is 1/254079.Finally, GCF of Fractions for 5833/981, 2417/777 is 1/254079.