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 824/28, 744/6814

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 824/28, 744/6814 i.e 8/95396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 824/28, 744/6814.

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 824/28,744/6814?

Given fractions are 824/28,744/6814

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 824/28,744/6814, numerators are 824,744

Denominators are 28,6814

The GCF of 824,744 is 8 .

LCM of 28,6814 is 95396.

The greatest common factor of 824/28,744/6814 = [GCF of 824,744]/[LCM of 28,6814]= 8/95396

Therefore, the GCF of 824/28,744/6814 is 8/95396.

Greatest Common Factor of 824,744

To find the highest common factor of 824,744, we have to find the factors of both numbers and list the highest common factor.

The factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824

The factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

The HCF of 824,744 is 8.

Lets's calculate GCF of 824,744

Greatest Common Factor (GCF) of 824,744 By Common Division

2 824, 744
2 412, 372
2 206, 186
103, 93

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 824,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,744 By Matching Biggest Common Factor Method

Now, list down the factors of 824

:

1,2,4,8,103,206,412,824

Now, list down the factors of 744

:

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 824,744 . The biggest common factor number is the GCF number.
So the greatest common factor 824,744 is 8.


Lets's calculate LCM of 28,6814

Lowest Common Multiple of 28,6814 using Common Division

2 28, 6814
14, 3407

∴ So the LCM of the given numbers is 2 x 14 x 3407 = 95396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/95396

Therefore, the GCF of Fractions 824/28,744/6814 is 8/95396

Least Common Multiple of 28,6814 with GCF Formula

Least Common Multiple of 28,6814 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 28,6814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,6814) = 2

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

GCF(28,6814) x common factors =2 x 1 = 2

LCM(28,6814) = ( 28 × 6814 ) / 2

LCM(28,6814) = 190792 / 2

LCM(28,6814) = 95396


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 824/28, 744/6814

1. What is the HCF of 824,744?

The HCF of 824,744 is 8

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 824/28, 744/6814?

Answer: GCF of Numerators as per given numbers 824/28, 744/6814 is

GCF of Numerators i.e. for 824,744 is 8

LCM of denominators i.e. for 28,6814 is 95396.

Thus, GCF of Fractions is 8/95396.Finally, GCF of Fractions for 824/28, 744/6814 is 8/95396.