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 483/32, 307/7562

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 483/32, 307/7562 i.e 1/120992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 483/32, 307/7562.

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 483/32,307/7562?

Given fractions are 483/32,307/7562

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 483/32,307/7562, numerators are 483,307

Denominators are 32,7562

The GCF of 483,307 is 1 .

LCM of 32,7562 is 120992.

The greatest common factor of 483/32,307/7562 = [GCF of 483,307]/[LCM of 32,7562]= 1/120992

Therefore, the GCF of 483/32,307/7562 is 1/120992.

Greatest Common Factor of 483,307

To find the highest common factor of 483,307, we have to find the factors of both numbers and list the highest common factor.

The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483

The factors of 307 are 1, 307

The HCF of 483,307 is 1.

Lets's calculate GCF of 483,307

Greatest Common Factor (GCF) of 483,307 By Common Division

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

Greatest Common Factor of 483,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,307 By Matching Biggest Common Factor Method

Now, list down the factors of 483

:

1,3,7,21,23,69,161,483

Now, list down the factors of 307

:

1,307

Greatest Common Factor

We found the factors 483,307 . The biggest common factor number is the GCF number.
So the greatest common factor 483,307 is 1.

Lets's calculate LCM of 32,7562

Lowest Common Multiple of 32,7562 using Common Division

2 32, 7562
16, 3781

∴ So the LCM of the given numbers is 2 x 16 x 3781 = 120992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120992

Therefore, the GCF of Fractions 483/32,307/7562 is 1/120992

Least Common Multiple of 32,7562 with GCF Formula

Least Common Multiple of 32,7562 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 32,7562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,7562) = 2

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

GCF(32,7562) x common factors =2 x 1 = 2

LCM(32,7562) = ( 32 × 7562 ) / 2

LCM(32,7562) = 241984 / 2

LCM(32,7562) = 120992


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 483/32, 307/7562

1. What is the HCF of 483,307?

The HCF of 483,307 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 483/32, 307/7562?

Answer: GCF of Numerators as per given numbers 483/32, 307/7562 is

GCF of Numerators i.e. for 483,307 is 1

LCM of denominators i.e. for 32,7562 is 120992.

Thus, GCF of Fractions is 1/120992.Finally, GCF of Fractions for 483/32, 307/7562 is 1/120992.