How to Find GCF of 3965/570, 9323/8408?

GCF of 3965/570, 9323/8408

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 3965/570, 9323/8408 i.e 1/2396280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3965/570, 9323/8408.

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 3965/570,9323/8408?

Given fractions are 3965/570,9323/8408

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 3965/570,9323/8408, numerators are 3965,9323

Denominators are 570,8408

The GCF of 3965,9323 is 1 .

LCM of 570,8408 is 2396280.

The greatest common factor of 3965/570,9323/8408 = [GCF of 3965,9323]/[LCM of 570,8408]= 1/2396280

Therefore, the GCF of 3965/570,9323/8408 is 1/2396280.

Greatest Common Factor of 3965,9323

To find the highest common factor of 3965,9323, we have to find the factors of both numbers and list the highest common factor.

The factors of 3965 are 1, 5, 13, 61, 65, 305, 793, 3965

The factors of 9323 are 1, 9323

The HCF of 3965,9323 is 1.

Lets's calculate GCF of 3965,9323

Greatest Common Factor (GCF) of 3965,9323 By Common Division

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

Greatest Common Factor of 3965,9323 By Matching Biggest Common Factor Method

Now, list down the factors of 3965

1,5,13,61,65,305,793,3965

Now, list down the factors of 9323

1,9323

Greatest Common Factor

We found the factors 3965,9323 . The biggest common factor number is the GCF number.
So the greatest common factor 3965,9323 is 1.

Lets's calculate LCM of 570,8408

Lowest Common Multiple of 570,8408 using Common Division

2	570, 8408
	285, 4204

∴ So the LCM of the given numbers is 2 x 285 x 4204 = 2396280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2396280

Therefore, the GCF of Fractions 3965/570,9323/8408 is 1/2396280

Least Common Multiple of 570,8408 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 570,8408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,8408) = 2

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

GCF(570,8408) x common factors =2 x 1 = 2

LCM(570,8408) = ( 570 × 8408 ) / 2

LCM(570,8408) = 4792560 / 2

LCM(570,8408) = 2396280

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FAQs on GCF of Fractions of 3965/570, 9323/8408

1. What is the HCF of 3965,9323?

The HCF of 3965,9323 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 3965/570, 9323/8408?

Answer: GCF of Numerators as per given numbers 3965/570, 9323/8408 is

GCF of Numerators i.e. for 3965,9323 is 1

LCM of denominators i.e. for 570,8408 is 2396280.

Thus, GCF of Fractions is 1/2396280.Finally, GCF of Fractions for 3965/570, 9323/8408 is 1/2396280.