How to Find GCF of 9665/229, 8979/1608?

GCF of 9665/229, 8979/1608

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 9665/229, 8979/1608 i.e 1/368232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9665/229, 8979/1608.

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 9665/229,8979/1608?

Given fractions are 9665/229,8979/1608

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 9665/229,8979/1608, numerators are 9665,8979

Denominators are 229,1608

The GCF of 9665,8979 is 1 .

LCM of 229,1608 is 368232.

The greatest common factor of 9665/229,8979/1608 = [GCF of 9665,8979]/[LCM of 229,1608]= 1/368232

Therefore, the GCF of 9665/229,8979/1608 is 1/368232.

Greatest Common Factor of 9665,8979

To find the highest common factor of 9665,8979, we have to find the factors of both numbers and list the highest common factor.

The factors of 9665 are 1, 5, 1933, 9665

The factors of 8979 are 1, 3, 41, 73, 123, 219, 2993, 8979

The HCF of 9665,8979 is 1.

Lets's calculate GCF of 9665,8979

Greatest Common Factor (GCF) of 9665,8979 By Common Division

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

Greatest Common Factor of 9665,8979 By Matching Biggest Common Factor Method

Now, list down the factors of 9665

1,5,1933,9665

Now, list down the factors of 8979

1,3,41,73,123,219,2993,8979

Greatest Common Factor

We found the factors 9665,8979 . The biggest common factor number is the GCF number.
So the greatest common factor 9665,8979 is 1.

Lets's calculate LCM of 229,1608

Lowest Common Multiple of 229,1608 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 368232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/368232

Therefore, the GCF of Fractions 9665/229,8979/1608 is 1/368232

Least Common Multiple of 229,1608 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 229,1608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,1608) = 1

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

GCF(229,1608) x common factors =1 x 1 = 1

LCM(229,1608) = ( 229 × 1608 ) / 1

LCM(229,1608) = 368232 / 1

LCM(229,1608) = 368232

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FAQs on GCF of Fractions of 9665/229, 8979/1608

1. What is the HCF of 9665,8979?

The HCF of 9665,8979 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 9665/229, 8979/1608?

Answer: GCF of Numerators as per given numbers 9665/229, 8979/1608 is

GCF of Numerators i.e. for 9665,8979 is 1

LCM of denominators i.e. for 229,1608 is 368232.

Thus, GCF of Fractions is 1/368232.Finally, GCF of Fractions for 9665/229, 8979/1608 is 1/368232.