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 483/232, 1995/3607

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 483/232, 1995/3607 i.e 21/836824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 483/232, 1995/3607.

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 483/232,1995/3607?

Given fractions are 483/232,1995/3607

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 483/232,1995/3607, numerators are 483,1995

Denominators are 232,3607

The GCF of 483,1995 is 21 .

LCM of 232,3607 is 836824.

The greatest common factor of 483/232,1995/3607 = [GCF of 483,1995]/[LCM of 232,3607]= 21/836824

Therefore, the GCF of 483/232,1995/3607 is 21/836824.

Greatest Common Factor of 483,1995

To find the highest common factor of 483,1995, 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 1995 are 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, 1995

The HCF of 483,1995 is 21.

Lets's calculate GCF of 483,1995

Greatest Common Factor (GCF) of 483,1995 By Common Division

3 483, 1995
7 161, 665
23, 95

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 483,1995 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,1995 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 1995

:

1,3,5,7,15,19,21,35,57,95,105,133,285,399,665,1995

Greatest Common Factor

We found the factors 483,1995 . The biggest common factor number is the GCF number.
So the greatest common factor 483,1995 is 21.


Lets's calculate LCM of 232,3607

Lowest Common Multiple of 232,3607 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 836824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/836824

Therefore, the GCF of Fractions 483/232,1995/3607 is 21/836824

Least Common Multiple of 232,3607 with GCF Formula

Least Common Multiple of 232,3607 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 232,3607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,3607) = 1

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

GCF(232,3607) x common factors =1 x 1 = 1

LCM(232,3607) = ( 232 × 3607 ) / 1

LCM(232,3607) = 836824 / 1

LCM(232,3607) = 836824


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 483/232, 1995/3607

1. What is the HCF of 483,1995?

The HCF of 483,1995 is 21

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 483/232, 1995/3607?

Answer: GCF of Numerators as per given numbers 483/232, 1995/3607 is

GCF of Numerators i.e. for 483,1995 is 21

LCM of denominators i.e. for 232,3607 is 836824.

Thus, GCF of Fractions is 21/836824.Finally, GCF of Fractions for 483/232, 1995/3607 is 21/836824.