How to Find GCF of 8387/711, 3825/2323?

GCF of 8387/711, 3825/2323

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 8387/711, 3825/2323 i.e 1/1651653 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8387/711, 3825/2323.

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 8387/711,3825/2323?

Given fractions are 8387/711,3825/2323

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 8387/711,3825/2323, numerators are 8387,3825

Denominators are 711,2323

The GCF of 8387,3825 is 1 .

LCM of 711,2323 is 1651653.

The greatest common factor of 8387/711,3825/2323 = [GCF of 8387,3825]/[LCM of 711,2323]= 1/1651653

Therefore, the GCF of 8387/711,3825/2323 is 1/1651653.

Greatest Common Factor of 8387,3825

To find the highest common factor of 8387,3825, we have to find the factors of both numbers and list the highest common factor.

The factors of 8387 are 1, 8387

The factors of 3825 are 1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 425, 765, 1275, 3825

The HCF of 8387,3825 is 1.

Lets's calculate GCF of 8387,3825

Greatest Common Factor (GCF) of 8387,3825 By Common Division

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

Greatest Common Factor of 8387,3825 By Matching Biggest Common Factor Method

Now, list down the factors of 8387

1,8387

Now, list down the factors of 3825

1,3,5,9,15,17,25,45,51,75,85,153,225,255,425,765,1275,3825

Greatest Common Factor

We found the factors 8387,3825 . The biggest common factor number is the GCF number.
So the greatest common factor 8387,3825 is 1.

Lets's calculate LCM of 711,2323

Lowest Common Multiple of 711,2323 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1651653

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1651653

Therefore, the GCF of Fractions 8387/711,3825/2323 is 1/1651653

Least Common Multiple of 711,2323 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 711,2323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,2323) = 1

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

GCF(711,2323) x common factors =1 x 1 = 1

LCM(711,2323) = ( 711 × 2323 ) / 1

LCM(711,2323) = 1651653 / 1

LCM(711,2323) = 1651653

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FAQs on GCF of Fractions of 8387/711, 3825/2323

1. What is the HCF of 8387,3825?

The HCF of 8387,3825 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 8387/711, 3825/2323?

Answer: GCF of Numerators as per given numbers 8387/711, 3825/2323 is

GCF of Numerators i.e. for 8387,3825 is 1

LCM of denominators i.e. for 711,2323 is 1651653.

Thus, GCF of Fractions is 1/1651653.Finally, GCF of Fractions for 8387/711, 3825/2323 is 1/1651653.