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GCF of 406/334, 6830/550

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 406/334, 6830/550 i.e 2/91850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 406/334, 6830/550.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 406/334,6830/550?

Given fractions are 406/334,6830/550

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 406/334,6830/550, numerators are 406,6830

Denominators are 334,550

The GCF of 406,6830 is 2 .

LCM of 334,550 is 91850.

The greatest common factor of 406/334,6830/550 = [GCF of 406,6830]/[LCM of 334,550]= 2/91850

Therefore, the GCF of 406/334,6830/550 is 2/91850.

Greatest Common Factor of 406,6830

To find the highest common factor of 406,6830, we have to find the factors of both numbers and list the highest common factor.

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The factors of 6830 are 1, 2, 5, 10, 683, 1366, 3415, 6830

The HCF of 406,6830 is 2.

Lets's calculate GCF of 406,6830

Greatest Common Factor (GCF) of 406,6830 By Common Division

2 406, 6830
203, 3415

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

Greatest Common Factor of 406,6830 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,6830 By Matching Biggest Common Factor Method

Now, list down the factors of 406

:

1,2,7,14,29,58,203,406

Now, list down the factors of 6830

:

1,2,5,10,683,1366,3415,6830

Greatest Common Factor

We found the factors 406,6830 . The biggest common factor number is the GCF number.
So the greatest common factor 406,6830 is 2.


Lets's calculate LCM of 334,550

Lowest Common Multiple of 334,550 using Common Division

2 334, 550
167, 275

∴ So the LCM of the given numbers is 2 x 167 x 275 = 91850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/91850

Therefore, the GCF of Fractions 406/334,6830/550 is 2/91850

Least Common Multiple of 334,550 with GCF Formula

Least Common Multiple of 334,550 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 334,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,550) = 2

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

GCF(334,550) x common factors =2 x 1 = 2

LCM(334,550) = ( 334 × 550 ) / 2

LCM(334,550) = 183700 / 2

LCM(334,550) = 91850


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 406/334, 6830/550

1. What is the HCF of 406,6830?

The HCF of 406,6830 is 2

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 406/334, 6830/550?

Answer: GCF of Numerators as per given numbers 406/334, 6830/550 is

GCF of Numerators i.e. for 406,6830 is 2

LCM of denominators i.e. for 334,550 is 91850.

Thus, GCF of Fractions is 2/91850.Finally, GCF of Fractions for 406/334, 6830/550 is 2/91850.