How to Find GCF of 494/417, 1963/7435?

GCF of 494/417, 1963/7435

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 494/417, 1963/7435 i.e 13/3100395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 494/417, 1963/7435.

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 494/417,1963/7435?

Given fractions are 494/417,1963/7435

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 494/417,1963/7435, numerators are 494,1963

Denominators are 417,7435

The GCF of 494,1963 is 13 .

LCM of 417,7435 is 3100395.

The greatest common factor of 494/417,1963/7435 = [GCF of 494,1963]/[LCM of 417,7435]= 13/3100395

Therefore, the GCF of 494/417,1963/7435 is 13/3100395.

Greatest Common Factor of 494,1963

To find the highest common factor of 494,1963, we have to find the factors of both numbers and list the highest common factor.

The factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494

The factors of 1963 are 1, 13, 151, 1963

The HCF of 494,1963 is 13.

Lets's calculate GCF of 494,1963

Greatest Common Factor (GCF) of 494,1963 By Common Division

13	494, 1963
	38, 151

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

Greatest Common Factor of 494,1963 By Matching Biggest Common Factor Method

Now, list down the factors of 494

1,2,13,19,26,38,247,494

Now, list down the factors of 1963

1,13,151,1963

Greatest Common Factor

We found the factors 494,1963 . The biggest common factor number is the GCF number.
So the greatest common factor 494,1963 is 13.

Lets's calculate LCM of 417,7435

Lowest Common Multiple of 417,7435 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3100395

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3100395

Therefore, the GCF of Fractions 494/417,1963/7435 is 13/3100395

Least Common Multiple of 417,7435 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 417,7435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,7435) = 1

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

GCF(417,7435) x common factors =1 x 1 = 1

LCM(417,7435) = ( 417 × 7435 ) / 1

LCM(417,7435) = 3100395 / 1

LCM(417,7435) = 3100395

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 494/417, 1963/7435

1. What is the HCF of 494,1963?

The HCF of 494,1963 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 494/417, 1963/7435?

Answer: GCF of Numerators as per given numbers 494/417, 1963/7435 is

GCF of Numerators i.e. for 494,1963 is 13

LCM of denominators i.e. for 417,7435 is 3100395.

Thus, GCF of Fractions is 13/3100395.Finally, GCF of Fractions for 494/417, 1963/7435 is 13/3100395.