Greatest Common Factor of 836/459, 6428/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 836/459, 6428/298

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 836/459,6428/298

Given fractions are 836/459,6428/298

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 836,6428

Greatest Common Factor of Numerators i.e. GCF of 836,6428 is 4 .

LCM of Denominators means LCM of 459,298 as per the given fractions.

LCM of 459,298 is 136782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 836,6428

GCF of Fractions 836/459,6428/298 is 4/136782

2 836, 6428
2 418, 3214
209, 1607

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 836,6428 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,6428 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 6428

List of positive integer factors of 6428 that divides 6428 without a remainder.

1,2,4,1607,3214,6428

Greatest Common Factor

We found the factors 836,6428 . The biggest common factor number is the GCF number.
So the greatest common factor 836,6428 is 4.

Lets's calculate LCM of 459,298

Given numbers has no common factors except 1. So, there LCM is their product i.e 136782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/136782

Therefore, the GCF of Fractions 836/459,6428/298 is 4/136782

Least Common Multiple of 459,298 with GCF Formula

Least Common Multiple of 459,298 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 459,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,298) = 1

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

GCF(459,298) x common factors =1 x 1 = 1

LCM(459,298) = ( 459 × 298 ) / 1

LCM(459,298) = 136782 / 1

LCM(459,298) = 136782


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 836/459, 6428/298

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 836/459, 6428/298?

Answer: GCF of Numerators as per given numbers 836/459, 6428/298 is

GCF of Numerators i.e. for 836,6428 is 4

LCM of denominators i.e. for 459,298 is 136782.

Thus, GCF of Fractions is 4/136782.Finally, GCF of Fractions for 836/459, 6428/298 is 4/136782.