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 1982/425, 8282/9899

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 1982/425, 8282/9899 i.e 2/4207075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1982/425, 8282/9899.

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 1982/425,8282/9899?

Given fractions are 1982/425,8282/9899

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 1982/425,8282/9899, numerators are 1982,8282

Denominators are 425,9899

The GCF of 1982,8282 is 2 .

LCM of 425,9899 is 4207075.

The greatest common factor of 1982/425,8282/9899 = [GCF of 1982,8282]/[LCM of 425,9899]= 2/4207075

Therefore, the GCF of 1982/425,8282/9899 is 2/4207075.

Greatest Common Factor of 1982,8282

To find the highest common factor of 1982,8282, we have to find the factors of both numbers and list the highest common factor.

The factors of 1982 are 1, 2, 991, 1982

The factors of 8282 are 1, 2, 41, 82, 101, 202, 4141, 8282

The HCF of 1982,8282 is 2.

Lets's calculate GCF of 1982,8282

Greatest Common Factor (GCF) of 1982,8282 By Common Division

2 1982, 8282
991, 4141

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1982,8282 By Matching Biggest Common Factor Method

Greatest Common Factor of 1982,8282 By Matching Biggest Common Factor Method

Now, list down the factors of 1982

:

1,2,991,1982

Now, list down the factors of 8282

:

1,2,41,82,101,202,4141,8282

Greatest Common Factor

We found the factors 1982,8282 . The biggest common factor number is the GCF number.
So the greatest common factor 1982,8282 is 2.


Lets's calculate LCM of 425,9899

Lowest Common Multiple of 425,9899 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4207075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4207075

Therefore, the GCF of Fractions 1982/425,8282/9899 is 2/4207075

Least Common Multiple of 425,9899 with GCF Formula

Least Common Multiple of 425,9899 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 425,9899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,9899) = 1

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

GCF(425,9899) x common factors =1 x 1 = 1

LCM(425,9899) = ( 425 × 9899 ) / 1

LCM(425,9899) = 4207075 / 1

LCM(425,9899) = 4207075


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1982/425, 8282/9899

1. What is the HCF of 1982,8282?

The HCF of 1982,8282 is 2

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 1982/425, 8282/9899?

Answer: GCF of Numerators as per given numbers 1982/425, 8282/9899 is

GCF of Numerators i.e. for 1982,8282 is 2

LCM of denominators i.e. for 425,9899 is 4207075.

Thus, GCF of Fractions is 2/4207075.Finally, GCF of Fractions for 1982/425, 8282/9899 is 2/4207075.