Greatest Common Factor of 462/419, 7958/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 462/419, 7958/996

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 462/419,7958/996

Given fractions are 462/419,7958/996

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 462,7958

Greatest Common Factor of Numerators i.e. GCF of 462,7958 is 2 .

LCM of Denominators means LCM of 419,996 as per the given fractions.

LCM of 419,996 is 417324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 462,7958

GCF of Fractions 462/419,7958/996 is 2/417324

2 462, 7958
231, 3979

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 462,7958 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,7958 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 7958

List of positive integer factors of 7958 that divides 7958 without a remainder.

1,2,23,46,173,346,3979,7958

Greatest Common Factor

We found the factors 462,7958 . The biggest common factor number is the GCF number.
So the greatest common factor 462,7958 is 2.

Lets's calculate LCM of 419,996

Given numbers has no common factors except 1. So, there LCM is their product i.e 417324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/417324

Therefore, the GCF of Fractions 462/419,7958/996 is 2/417324

Least Common Multiple of 419,996 with GCF Formula

Least Common Multiple of 419,996 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 419,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,996) = 1

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

GCF(419,996) x common factors =1 x 1 = 1

LCM(419,996) = ( 419 × 996 ) / 1

LCM(419,996) = 417324 / 1

LCM(419,996) = 417324


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 462/419, 7958/996

1. 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.

2. What is the GCF of Fractions for 462/419, 7958/996?

Answer: GCF of Numerators as per given numbers 462/419, 7958/996 is

GCF of Numerators i.e. for 462,7958 is 2

LCM of denominators i.e. for 419,996 is 417324.

Thus, GCF of Fractions is 2/417324.Finally, GCF of Fractions for 462/419, 7958/996 is 2/417324.