Greatest Common Factor of 4508/834, 2662/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4508/834, 2662/814

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 4508/834,2662/814

Given fractions are 4508/834,2662/814

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 4508,2662

Greatest Common Factor of Numerators i.e. GCF of 4508,2662 is 2 .

LCM of Denominators means LCM of 834,814 as per the given fractions.

LCM of 834,814 is 339438 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4508,2662

GCF of Fractions 4508/834,2662/814 is 2/339438

2 4508, 2662
2254, 1331

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

Greatest Common Factor of 4508,2662 By Matching Biggest Common Factor Method

Greatest Common Factor of 4508,2662 By Matching Biggest Common Factor Method

Factors of 4508

List of positive integer factors of 4508 that divides 4508 without a remainder.

1,2,4,7,14,23,28,46,49,92,98,161,196,322,644,1127,2254,4508

Factors of 2662

List of positive integer factors of 2662 that divides 2662 without a remainder.

1,2,11,22,121,242,1331,2662

Greatest Common Factor

We found the factors 4508,2662 . The biggest common factor number is the GCF number.
So the greatest common factor 4508,2662 is 2.

Lets's calculate LCM of 834,814

2 834, 814
417, 407

∴ So the LCM of the given numbers is 2 x 417 x 407 = 339438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/339438

Therefore, the GCF of Fractions 4508/834,2662/814 is 2/339438

Least Common Multiple of 834,814 with GCF Formula

Least Common Multiple of 834,814 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 834,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,814) = 2

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

GCF(834,814) x common factors =2 x 1 = 2

LCM(834,814) = ( 834 × 814 ) / 2

LCM(834,814) = 678876 / 2

LCM(834,814) = 339438


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 4508/834, 2662/814

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 4508/834, 2662/814?

Answer: GCF of Numerators as per given numbers 4508/834, 2662/814 is

GCF of Numerators i.e. for 4508,2662 is 2

LCM of denominators i.e. for 834,814 is 339438.

Thus, GCF of Fractions is 2/339438.Finally, GCF of Fractions for 4508/834, 2662/814 is 2/339438.