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 122/422, 505/594

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 122/422, 505/594 i.e 1/125334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 122/422, 505/594.

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 122/422,505/594?

Given fractions are 122/422,505/594

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 122/422,505/594, numerators are 122,505

Denominators are 422,594

The GCF of 122,505 is 1 .

LCM of 422,594 is 125334.

The greatest common factor of 122/422,505/594 = [GCF of 122,505]/[LCM of 422,594]= 1/125334

Therefore, the GCF of 122/422,505/594 is 1/125334.

Greatest Common Factor of 122,505

To find the highest common factor of 122,505, we have to find the factors of both numbers and list the highest common factor.

The factors of 122 are 1, 2, 61, 122

The factors of 505 are 1, 5, 101, 505

The HCF of 122,505 is 1.

Lets's calculate GCF of 122,505

Greatest Common Factor (GCF) of 122,505 By Common Division

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

Greatest Common Factor of 122,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,505 By Matching Biggest Common Factor Method

Now, list down the factors of 122

:

1,2,61,122

Now, list down the factors of 505

:

1,5,101,505

Greatest Common Factor

We found the factors 122,505 . The biggest common factor number is the GCF number.
So the greatest common factor 122,505 is 1.

Lets's calculate LCM of 422,594

Lowest Common Multiple of 422,594 using Common Division

2 422, 594
211, 297

∴ So the LCM of the given numbers is 2 x 211 x 297 = 125334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125334

Therefore, the GCF of Fractions 122/422,505/594 is 1/125334

Least Common Multiple of 422,594 with GCF Formula

Least Common Multiple of 422,594 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 422,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,594) = 2

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

GCF(422,594) x common factors =2 x 1 = 2

LCM(422,594) = ( 422 × 594 ) / 2

LCM(422,594) = 250668 / 2

LCM(422,594) = 125334


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 122/422, 505/594

1. What is the HCF of 122,505?

The HCF of 122,505 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 122/422, 505/594?

Answer: GCF of Numerators as per given numbers 122/422, 505/594 is

GCF of Numerators i.e. for 122,505 is 1

LCM of denominators i.e. for 422,594 is 125334.

Thus, GCF of Fractions is 1/125334.Finally, GCF of Fractions for 122/422, 505/594 is 1/125334.