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 790/364, 390/644

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 790/364, 390/644 i.e 10/8372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 790/364, 390/644.

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 790/364,390/644?

Given fractions are 790/364,390/644

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 790/364,390/644, numerators are 790,390

Denominators are 364,644

The GCF of 790,390 is 10 .

LCM of 364,644 is 8372.

The greatest common factor of 790/364,390/644 = [GCF of 790,390]/[LCM of 364,644]= 10/8372

Therefore, the GCF of 790/364,390/644 is 10/8372.

Greatest Common Factor of 790,390

To find the highest common factor of 790,390, we have to find the factors of both numbers and list the highest common factor.

The factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790

The factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

The HCF of 790,390 is 10.

Lets's calculate GCF of 790,390

Greatest Common Factor (GCF) of 790,390 By Common Division

2 790, 390
5 395, 195
79, 39

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 790,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,390 By Matching Biggest Common Factor Method

Now, list down the factors of 790

:

1,2,5,10,79,158,395,790

Now, list down the factors of 390

:

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 790,390 . The biggest common factor number is the GCF number.
So the greatest common factor 790,390 is 10.


Lets's calculate LCM of 364,644

Lowest Common Multiple of 364,644 using Common Division

2 364, 644
2 182, 322
7 91, 161
13, 23

∴ So the LCM of the given numbers is 2 x 2 x 7 x 13 x 23 = 8372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/8372

Therefore, the GCF of Fractions 790/364,390/644 is 10/8372

Least Common Multiple of 364,644 with GCF Formula

Least Common Multiple of 364,644 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 364,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,644) = 28

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

GCF(364,644) x common factors =28 x 1 = 28

LCM(364,644) = ( 364 × 644 ) / 28

LCM(364,644) = 234416 / 28

LCM(364,644) = 8372


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 790/364, 390/644

1. What is the HCF of 790,390?

The HCF of 790,390 is 10

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 790/364, 390/644?

Answer: GCF of Numerators as per given numbers 790/364, 390/644 is

GCF of Numerators i.e. for 790,390 is 10

LCM of denominators i.e. for 364,644 is 8372.

Thus, GCF of Fractions is 10/8372.Finally, GCF of Fractions for 790/364, 390/644 is 10/8372.