How to Find GCF of 324/320, 8183/770?

GCF of 324/320, 8183/770

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 324/320, 8183/770 i.e 1/24640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 324/320, 8183/770.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 324/320,8183/770?

Given fractions are 324/320,8183/770

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 324/320,8183/770, numerators are 324,8183

Denominators are 320,770

The GCF of 324,8183 is 1 .

LCM of 320,770 is 24640.

The greatest common factor of 324/320,8183/770 = [GCF of 324,8183]/[LCM of 320,770]= 1/24640

Therefore, the GCF of 324/320,8183/770 is 1/24640.

Greatest Common Factor of 324,8183

To find the highest common factor of 324,8183, we have to find the factors of both numbers and list the highest common factor.

The factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

The factors of 8183 are 1, 7, 49, 167, 1169, 8183

The HCF of 324,8183 is 1.

Lets's calculate GCF of 324,8183

Greatest Common Factor (GCF) of 324,8183 By Common Division

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

Greatest Common Factor of 324,8183 By Matching Biggest Common Factor Method

Now, list down the factors of 324

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Now, list down the factors of 8183

1,7,49,167,1169,8183

Greatest Common Factor

We found the factors 324,8183 . The biggest common factor number is the GCF number.
So the greatest common factor 324,8183 is 1.

Lets's calculate LCM of 320,770

Lowest Common Multiple of 320,770 using Common Division

2	320, 770
5	160, 385
	32, 77

∴ So the LCM of the given numbers is 2 x 5 x 32 x 77 = 24640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24640

Therefore, the GCF of Fractions 324/320,8183/770 is 1/24640

Least Common Multiple of 320,770 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 320,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,770) = 10

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

GCF(320,770) x common factors =10 x 1 = 10

LCM(320,770) = ( 320 × 770 ) / 10

LCM(320,770) = 246400 / 10

LCM(320,770) = 24640

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FAQs on GCF of Fractions of 324/320, 8183/770

1. What is the HCF of 324,8183?

The HCF of 324,8183 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 324/320, 8183/770?

Answer: GCF of Numerators as per given numbers 324/320, 8183/770 is

GCF of Numerators i.e. for 324,8183 is 1

LCM of denominators i.e. for 320,770 is 24640.

Thus, GCF of Fractions is 1/24640.Finally, GCF of Fractions for 324/320, 8183/770 is 1/24640.