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 408/122, 2099/4425

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 408/122, 2099/4425 i.e 1/539850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 408/122, 2099/4425.

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 408/122,2099/4425?

Given fractions are 408/122,2099/4425

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 408/122,2099/4425, numerators are 408,2099

Denominators are 122,4425

The GCF of 408,2099 is 1 .

LCM of 122,4425 is 539850.

The greatest common factor of 408/122,2099/4425 = [GCF of 408,2099]/[LCM of 122,4425]= 1/539850

Therefore, the GCF of 408/122,2099/4425 is 1/539850.

Greatest Common Factor of 408,2099

To find the highest common factor of 408,2099, we have to find the factors of both numbers and list the highest common factor.

The factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

The factors of 2099 are 1, 2099

The HCF of 408,2099 is 1.

Lets's calculate GCF of 408,2099

Greatest Common Factor (GCF) of 408,2099 By Common Division

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

Greatest Common Factor of 408,2099 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,2099 By Matching Biggest Common Factor Method

Now, list down the factors of 408

:

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Now, list down the factors of 2099

:

1,2099

Greatest Common Factor

We found the factors 408,2099 . The biggest common factor number is the GCF number.
So the greatest common factor 408,2099 is 1.


Lets's calculate LCM of 122,4425

Lowest Common Multiple of 122,4425 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 539850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/539850

Therefore, the GCF of Fractions 408/122,2099/4425 is 1/539850

Least Common Multiple of 122,4425 with GCF Formula

Least Common Multiple of 122,4425 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 122,4425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,4425) = 1

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

GCF(122,4425) x common factors =1 x 1 = 1

LCM(122,4425) = ( 122 × 4425 ) / 1

LCM(122,4425) = 539850 / 1

LCM(122,4425) = 539850


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 408/122, 2099/4425

1. What is the HCF of 408,2099?

The HCF of 408,2099 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 408/122, 2099/4425?

Answer: GCF of Numerators as per given numbers 408/122, 2099/4425 is

GCF of Numerators i.e. for 408,2099 is 1

LCM of denominators i.e. for 122,4425 is 539850.

Thus, GCF of Fractions is 1/539850.Finally, GCF of Fractions for 408/122, 2099/4425 is 1/539850.