How to Find GCF of 9569/739, 3975/8328?

GCF of 9569/739, 3975/8328

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 9569/739, 3975/8328 i.e 1/6154392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9569/739, 3975/8328.

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 9569/739,3975/8328?

Given fractions are 9569/739,3975/8328

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 9569/739,3975/8328, numerators are 9569,3975

Denominators are 739,8328

The GCF of 9569,3975 is 1 .

LCM of 739,8328 is 6154392.

The greatest common factor of 9569/739,3975/8328 = [GCF of 9569,3975]/[LCM of 739,8328]= 1/6154392

Therefore, the GCF of 9569/739,3975/8328 is 1/6154392.

Greatest Common Factor of 9569,3975

To find the highest common factor of 9569,3975, we have to find the factors of both numbers and list the highest common factor.

The factors of 9569 are 1, 7, 1367, 9569

The factors of 3975 are 1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325, 3975

The HCF of 9569,3975 is 1.

Lets's calculate GCF of 9569,3975

Greatest Common Factor (GCF) of 9569,3975 By Common Division

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

Greatest Common Factor of 9569,3975 By Matching Biggest Common Factor Method

Now, list down the factors of 9569

1,7,1367,9569

Now, list down the factors of 3975

1,3,5,15,25,53,75,159,265,795,1325,3975

Greatest Common Factor

We found the factors 9569,3975 . The biggest common factor number is the GCF number.
So the greatest common factor 9569,3975 is 1.

Lets's calculate LCM of 739,8328

Lowest Common Multiple of 739,8328 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6154392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6154392

Therefore, the GCF of Fractions 9569/739,3975/8328 is 1/6154392

Least Common Multiple of 739,8328 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 739,8328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(739,8328) = 1

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

GCF(739,8328) x common factors =1 x 1 = 1

LCM(739,8328) = ( 739 × 8328 ) / 1

LCM(739,8328) = 6154392 / 1

LCM(739,8328) = 6154392

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FAQs on GCF of Fractions of 9569/739, 3975/8328

1. What is the HCF of 9569,3975?

The HCF of 9569,3975 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 9569/739, 3975/8328?

Answer: GCF of Numerators as per given numbers 9569/739, 3975/8328 is

GCF of Numerators i.e. for 9569,3975 is 1

LCM of denominators i.e. for 739,8328 is 6154392.

Thus, GCF of Fractions is 1/6154392.Finally, GCF of Fractions for 9569/739, 3975/8328 is 1/6154392.