LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 834/35, 216/822

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 834/35, 216/822 i.e 6/28770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 834/35, 216/822.

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 834/35,216/822?

Given fractions are 834/35,216/822

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 834/35,216/822, numerators are 834,216

Denominators are 35,822

The GCF of 834,216 is 6 .

LCM of 35,822 is 28770.

The greatest common factor of 834/35,216/822 = [GCF of 834,216]/[LCM of 35,822]= 6/28770

Therefore, the GCF of 834/35,216/822 is 6/28770.

Greatest Common Factor of 834,216

To find the highest common factor of 834,216, we have to find the factors of both numbers and list the highest common factor.

The factors of 834 are 1, 2, 3, 6, 139, 278, 417, 834

The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

The HCF of 834,216 is 6.

Lets's calculate GCF of 834,216

Greatest Common Factor (GCF) of 834,216 By Common Division

2 834, 216
3 417, 108
139, 36

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 834,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,216 By Matching Biggest Common Factor Method

Now, list down the factors of 834

:

1,2,3,6,139,278,417,834

Now, list down the factors of 216

:

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 834,216 . The biggest common factor number is the GCF number.
So the greatest common factor 834,216 is 6.

Lets's calculate LCM of 35,822

Lowest Common Multiple of 35,822 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 28770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/28770

Therefore, the GCF of Fractions 834/35,216/822 is 6/28770

Least Common Multiple of 35,822 with GCF Formula

Least Common Multiple of 35,822 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 35,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,822) = 1

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

GCF(35,822) x common factors =1 x 1 = 1

LCM(35,822) = ( 35 × 822 ) / 1

LCM(35,822) = 28770 / 1

LCM(35,822) = 28770


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 834/35, 216/822

1. What is the HCF of 834,216?

The HCF of 834,216 is 6

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 834/35, 216/822?

Answer: GCF of Numerators as per given numbers 834/35, 216/822 is

GCF of Numerators i.e. for 834,216 is 6

LCM of denominators i.e. for 35,822 is 28770.

Thus, GCF of Fractions is 6/28770.Finally, GCF of Fractions for 834/35, 216/822 is 6/28770.