How to Find GCF of 2405/837, 8203/4994?

GCF of 2405/837, 8203/4994

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 2405/837, 8203/4994 i.e 13/4179978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2405/837, 8203/4994.

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 2405/837,8203/4994?

Given fractions are 2405/837,8203/4994

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 2405/837,8203/4994, numerators are 2405,8203

Denominators are 837,4994

The GCF of 2405,8203 is 13 .

LCM of 837,4994 is 4179978.

The greatest common factor of 2405/837,8203/4994 = [GCF of 2405,8203]/[LCM of 837,4994]= 13/4179978

Therefore, the GCF of 2405/837,8203/4994 is 13/4179978.

Greatest Common Factor of 2405,8203

To find the highest common factor of 2405,8203, we have to find the factors of both numbers and list the highest common factor.

The factors of 2405 are 1, 5, 13, 37, 65, 185, 481, 2405

The factors of 8203 are 1, 13, 631, 8203

The HCF of 2405,8203 is 13.

Lets's calculate GCF of 2405,8203

Greatest Common Factor (GCF) of 2405,8203 By Common Division

13	2405, 8203
	185, 631

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 2405,8203 By Matching Biggest Common Factor Method

Now, list down the factors of 2405

1,5,13,37,65,185,481,2405

Now, list down the factors of 8203

1,13,631,8203

Greatest Common Factor

We found the factors 2405,8203 . The biggest common factor number is the GCF number.
So the greatest common factor 2405,8203 is 13.

Lets's calculate LCM of 837,4994

Lowest Common Multiple of 837,4994 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4179978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4179978

Therefore, the GCF of Fractions 2405/837,8203/4994 is 13/4179978

Least Common Multiple of 837,4994 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 837,4994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(837,4994) = 1

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

GCF(837,4994) x common factors =1 x 1 = 1

LCM(837,4994) = ( 837 × 4994 ) / 1

LCM(837,4994) = 4179978 / 1

LCM(837,4994) = 4179978

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FAQs on GCF of Fractions of 2405/837, 8203/4994

1. What is the HCF of 2405,8203?

The HCF of 2405,8203 is 13

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 2405/837, 8203/4994?

Answer: GCF of Numerators as per given numbers 2405/837, 8203/4994 is

GCF of Numerators i.e. for 2405,8203 is 13

LCM of denominators i.e. for 837,4994 is 4179978.

Thus, GCF of Fractions is 13/4179978.Finally, GCF of Fractions for 2405/837, 8203/4994 is 13/4179978.