How to Find GCF of 9705/444, 4244/812?

GCF of 9705/444, 4244/812

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 9705/444, 4244/812 i.e 1/90132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9705/444, 4244/812.

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 9705/444,4244/812?

Given fractions are 9705/444,4244/812

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 9705/444,4244/812, numerators are 9705,4244

Denominators are 444,812

The GCF of 9705,4244 is 1 .

LCM of 444,812 is 90132.

The greatest common factor of 9705/444,4244/812 = [GCF of 9705,4244]/[LCM of 444,812]= 1/90132

Therefore, the GCF of 9705/444,4244/812 is 1/90132.

Greatest Common Factor of 9705,4244

To find the highest common factor of 9705,4244, we have to find the factors of both numbers and list the highest common factor.

The factors of 9705 are 1, 3, 5, 15, 647, 1941, 3235, 9705

The factors of 4244 are 1, 2, 4, 1061, 2122, 4244

The HCF of 9705,4244 is 1.

Lets's calculate GCF of 9705,4244

Greatest Common Factor (GCF) of 9705,4244 By Common Division

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

Greatest Common Factor of 9705,4244 By Matching Biggest Common Factor Method

Now, list down the factors of 9705

1,3,5,15,647,1941,3235,9705

Now, list down the factors of 4244

1,2,4,1061,2122,4244

Greatest Common Factor

We found the factors 9705,4244 . The biggest common factor number is the GCF number.
So the greatest common factor 9705,4244 is 1.

Lets's calculate LCM of 444,812

Lowest Common Multiple of 444,812 using Common Division

2	444, 812
2	222, 406
	111, 203

∴ So the LCM of the given numbers is 2 x 2 x 111 x 203 = 90132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90132

Therefore, the GCF of Fractions 9705/444,4244/812 is 1/90132

Least Common Multiple of 444,812 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 444,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,812) = 4

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

GCF(444,812) x common factors =4 x 1 = 4

LCM(444,812) = ( 444 × 812 ) / 4

LCM(444,812) = 360528 / 4

LCM(444,812) = 90132

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FAQs on GCF of Fractions of 9705/444, 4244/812

1. What is the HCF of 9705,4244?

The HCF of 9705,4244 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 9705/444, 4244/812?

Answer: GCF of Numerators as per given numbers 9705/444, 4244/812 is

GCF of Numerators i.e. for 9705,4244 is 1

LCM of denominators i.e. for 444,812 is 90132.

Thus, GCF of Fractions is 1/90132.Finally, GCF of Fractions for 9705/444, 4244/812 is 1/90132.