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 311/54, 533/4690

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 311/54, 533/4690 i.e 1/126630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 311/54, 533/4690.

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 311/54,533/4690?

Given fractions are 311/54,533/4690

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 311/54,533/4690, numerators are 311,533

Denominators are 54,4690

The GCF of 311,533 is 1 .

LCM of 54,4690 is 126630.

The greatest common factor of 311/54,533/4690 = [GCF of 311,533]/[LCM of 54,4690]= 1/126630

Therefore, the GCF of 311/54,533/4690 is 1/126630.

Greatest Common Factor of 311,533

To find the highest common factor of 311,533, we have to find the factors of both numbers and list the highest common factor.

The factors of 311 are 1, 311

The factors of 533 are 1, 13, 41, 533

The HCF of 311,533 is 1.

Lets's calculate GCF of 311,533

Greatest Common Factor (GCF) of 311,533 By Common Division

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

Greatest Common Factor of 311,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,533 By Matching Biggest Common Factor Method

Now, list down the factors of 311

:

1,311

Now, list down the factors of 533

:

1,13,41,533

Greatest Common Factor

We found the factors 311,533 . The biggest common factor number is the GCF number.
So the greatest common factor 311,533 is 1.

Lets's calculate LCM of 54,4690

Lowest Common Multiple of 54,4690 using Common Division

2 54, 4690
27, 2345

∴ So the LCM of the given numbers is 2 x 27 x 2345 = 126630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126630

Therefore, the GCF of Fractions 311/54,533/4690 is 1/126630

Least Common Multiple of 54,4690 with GCF Formula

Least Common Multiple of 54,4690 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 54,4690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,4690) = 2

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

GCF(54,4690) x common factors =2 x 1 = 2

LCM(54,4690) = ( 54 × 4690 ) / 2

LCM(54,4690) = 253260 / 2

LCM(54,4690) = 126630


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 311/54, 533/4690

1. What is the HCF of 311,533?

The HCF of 311,533 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 311/54, 533/4690?

Answer: GCF of Numerators as per given numbers 311/54, 533/4690 is

GCF of Numerators i.e. for 311,533 is 1

LCM of denominators i.e. for 54,4690 is 126630.

Thus, GCF of Fractions is 1/126630.Finally, GCF of Fractions for 311/54, 533/4690 is 1/126630.