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 796/154, 8223/810

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 796/154, 8223/810 i.e 1/62370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 796/154, 8223/810.

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 796/154,8223/810?

Given fractions are 796/154,8223/810

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 796/154,8223/810, numerators are 796,8223

Denominators are 154,810

The GCF of 796,8223 is 1 .

LCM of 154,810 is 62370.

The greatest common factor of 796/154,8223/810 = [GCF of 796,8223]/[LCM of 154,810]= 1/62370

Therefore, the GCF of 796/154,8223/810 is 1/62370.

Greatest Common Factor of 796,8223

To find the highest common factor of 796,8223, we have to find the factors of both numbers and list the highest common factor.

The factors of 796 are 1, 2, 4, 199, 398, 796

The factors of 8223 are 1, 3, 2741, 8223

The HCF of 796,8223 is 1.

Lets's calculate GCF of 796,8223

Greatest Common Factor (GCF) of 796,8223 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 796,8223 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,8223 By Matching Biggest Common Factor Method

Now, list down the factors of 796

:

1,2,4,199,398,796

Now, list down the factors of 8223

:

1,3,2741,8223

Greatest Common Factor

We found the factors 796,8223 . The biggest common factor number is the GCF number.
So the greatest common factor 796,8223 is 1.

Lets's calculate LCM of 154,810

Lowest Common Multiple of 154,810 using Common Division

2 154, 810
77, 405

∴ So the LCM of the given numbers is 2 x 77 x 405 = 62370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62370

Therefore, the GCF of Fractions 796/154,8223/810 is 1/62370

Least Common Multiple of 154,810 with GCF Formula

Least Common Multiple of 154,810 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 154,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,810) = 2

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

GCF(154,810) x common factors =2 x 1 = 2

LCM(154,810) = ( 154 × 810 ) / 2

LCM(154,810) = 124740 / 2

LCM(154,810) = 62370


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 796/154, 8223/810

1. What is the HCF of 796,8223?

The HCF of 796,8223 is 1

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 796/154, 8223/810?

Answer: GCF of Numerators as per given numbers 796/154, 8223/810 is

GCF of Numerators i.e. for 796,8223 is 1

LCM of denominators i.e. for 154,810 is 62370.

Thus, GCF of Fractions is 1/62370.Finally, GCF of Fractions for 796/154, 8223/810 is 1/62370.