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GCF of 390/496, 364/587

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 390/496, 364/587 i.e 26/291152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 390/496, 364/587.

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 390/496,364/587?

Given fractions are 390/496,364/587

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 390/496,364/587, numerators are 390,364

Denominators are 496,587

The GCF of 390,364 is 26 .

LCM of 496,587 is 291152.

The greatest common factor of 390/496,364/587 = [GCF of 390,364]/[LCM of 496,587]= 26/291152

Therefore, the GCF of 390/496,364/587 is 26/291152.

Greatest Common Factor of 390,364

To find the highest common factor of 390,364, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

The HCF of 390,364 is 26.

Lets's calculate GCF of 390,364

Greatest Common Factor (GCF) of 390,364 By Common Division

2 390, 364
13 195, 182
15, 14

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 390,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,364 By Matching Biggest Common Factor Method

Now, list down the factors of 390

:

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

Now, list down the factors of 364

:

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 390,364 . The biggest common factor number is the GCF number.
So the greatest common factor 390,364 is 26.


Lets's calculate LCM of 496,587

Lowest Common Multiple of 496,587 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 291152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/291152

Therefore, the GCF of Fractions 390/496,364/587 is 26/291152

Least Common Multiple of 496,587 with GCF Formula

Least Common Multiple of 496,587 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 496,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,587) = 1

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

GCF(496,587) x common factors =1 x 1 = 1

LCM(496,587) = ( 496 × 587 ) / 1

LCM(496,587) = 291152 / 1

LCM(496,587) = 291152


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 390/496, 364/587

1. What is the HCF of 390,364?

The HCF of 390,364 is 26

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 390/496, 364/587?

Answer: GCF of Numerators as per given numbers 390/496, 364/587 is

GCF of Numerators i.e. for 390,364 is 26

LCM of denominators i.e. for 496,587 is 291152.

Thus, GCF of Fractions is 26/291152.Finally, GCF of Fractions for 390/496, 364/587 is 26/291152.