How to Find GCF of 122/65, 499/4353?

GCF of 122/65, 499/4353

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 122/65, 499/4353 i.e 1/282945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 122/65, 499/4353.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 122/65,499/4353?

Given fractions are 122/65,499/4353

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 122/65,499/4353, numerators are 122,499

Denominators are 65,4353

The GCF of 122,499 is 1 .

LCM of 65,4353 is 282945.

The greatest common factor of 122/65,499/4353 = [GCF of 122,499]/[LCM of 65,4353]= 1/282945

Therefore, the GCF of 122/65,499/4353 is 1/282945.

Greatest Common Factor of 122,499

To find the highest common factor of 122,499, 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 499 are 1, 499

The HCF of 122,499 is 1.

Lets's calculate GCF of 122,499

Greatest Common Factor (GCF) of 122,499 By Common Division

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

Greatest Common Factor of 122,499 By Matching Biggest Common Factor Method

Now, list down the factors of 122

1,2,61,122

Now, list down the factors of 499

1,499

Greatest Common Factor

We found the factors 122,499 . The biggest common factor number is the GCF number.
So the greatest common factor 122,499 is 1.

Lets's calculate LCM of 65,4353

Lowest Common Multiple of 65,4353 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 282945

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/282945

Therefore, the GCF of Fractions 122/65,499/4353 is 1/282945

Least Common Multiple of 65,4353 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 65,4353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,4353) = 1

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

GCF(65,4353) x common factors =1 x 1 = 1

LCM(65,4353) = ( 65 × 4353 ) / 1

LCM(65,4353) = 282945 / 1

LCM(65,4353) = 282945

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FAQs on GCF of Fractions of 122/65, 499/4353

1. What is the HCF of 122,499?

The HCF of 122,499 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 122/65, 499/4353?

Answer: GCF of Numerators as per given numbers 122/65, 499/4353 is

GCF of Numerators i.e. for 122,499 is 1

LCM of denominators i.e. for 65,4353 is 282945.

Thus, GCF of Fractions is 1/282945.Finally, GCF of Fractions for 122/65, 499/4353 is 1/282945.