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GCF of 320/20, 386/308

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 320/20, 386/308 i.e 2/1540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 320/20, 386/308.

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 320/20,386/308?

Given fractions are 320/20,386/308

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 320/20,386/308, numerators are 320,386

Denominators are 20,308

The GCF of 320,386 is 2 .

LCM of 20,308 is 1540.

The greatest common factor of 320/20,386/308 = [GCF of 320,386]/[LCM of 20,308]= 2/1540

Therefore, the GCF of 320/20,386/308 is 2/1540.

Greatest Common Factor of 320,386

To find the highest common factor of 320,386, we have to find the factors of both numbers and list the highest common factor.

The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

The factors of 386 are 1, 2, 193, 386

The HCF of 320,386 is 2.

Lets's calculate GCF of 320,386

Greatest Common Factor (GCF) of 320,386 By Common Division

2 320, 386
160, 193

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

Greatest Common Factor of 320,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,386 By Matching Biggest Common Factor Method

Now, list down the factors of 320

:

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Now, list down the factors of 386

:

1,2,193,386

Greatest Common Factor

We found the factors 320,386 . The biggest common factor number is the GCF number.
So the greatest common factor 320,386 is 2.


Lets's calculate LCM of 20,308

Lowest Common Multiple of 20,308 using Common Division

2 20, 308
2 10, 154
5, 77

∴ So the LCM of the given numbers is 2 x 2 x 5 x 77 = 1540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1540

Therefore, the GCF of Fractions 320/20,386/308 is 2/1540

Least Common Multiple of 20,308 with GCF Formula

Least Common Multiple of 20,308 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 20,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,308) = 4

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

GCF(20,308) x common factors =4 x 1 = 4

LCM(20,308) = ( 20 × 308 ) / 4

LCM(20,308) = 6160 / 4

LCM(20,308) = 1540


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 320/20, 386/308

1. What is the HCF of 320,386?

The HCF of 320,386 is 2

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 320/20, 386/308?

Answer: GCF of Numerators as per given numbers 320/20, 386/308 is

GCF of Numerators i.e. for 320,386 is 2

LCM of denominators i.e. for 20,308 is 1540.

Thus, GCF of Fractions is 2/1540.Finally, GCF of Fractions for 320/20, 386/308 is 2/1540.