Greatest Common Factor of 8008/462, 4074/7102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8008/462, 4074/7102

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 8008/462,4074/7102

Given fractions are 8008/462,4074/7102

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 8008,4074

Greatest Common Factor of Numerators i.e. GCF of 8008,4074 is 14 .

LCM of Denominators means LCM of 462,7102 as per the given fractions.

LCM of 462,7102 is 1640562 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8008,4074

GCF of Fractions 8008/462,4074/7102 is 14/1640562

2 8008, 4074
7 4004, 2037
572, 291

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 8008,4074 By Matching Biggest Common Factor Method

Greatest Common Factor of 8008,4074 By Matching Biggest Common Factor Method

Factors of 8008

List of positive integer factors of 8008 that divides 8008 without a remainder.

1,2,4,7,8,11,13,14,22,26,28,44,52,56,77,88,91,104,143,154,182,286,308,364,572,616,728,1001,1144,2002,4004,8008

Factors of 4074

List of positive integer factors of 4074 that divides 4074 without a remainder.

1,2,3,6,7,14,21,42,97,194,291,582,679,1358,2037,4074

Greatest Common Factor

We found the factors 8008,4074 . The biggest common factor number is the GCF number.
So the greatest common factor 8008,4074 is 14.

Lets's calculate LCM of 462,7102

2 462, 7102
231, 3551

∴ So the LCM of the given numbers is 2 x 231 x 3551 = 1640562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1640562

Therefore, the GCF of Fractions 8008/462,4074/7102 is 14/1640562

Least Common Multiple of 462,7102 with GCF Formula

Least Common Multiple of 462,7102 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 462,7102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,7102) = 2

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

GCF(462,7102) x common factors =2 x 1 = 2

LCM(462,7102) = ( 462 × 7102 ) / 2

LCM(462,7102) = 3281124 / 2

LCM(462,7102) = 1640562


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 8008/462, 4074/7102

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 8008/462, 4074/7102?

Answer: GCF of Numerators as per given numbers 8008/462, 4074/7102 is

GCF of Numerators i.e. for 8008,4074 is 14

LCM of denominators i.e. for 462,7102 is 1640562.

Thus, GCF of Fractions is 14/1640562.Finally, GCF of Fractions for 8008/462, 4074/7102 is 14/1640562.