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GCF of 9129/717, 3606/2820

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 9129/717, 3606/2820 i.e 3/673980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9129/717, 3606/2820.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9129/717,3606/2820?

Given fractions are 9129/717,3606/2820

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 9129/717,3606/2820, numerators are 9129,3606

Denominators are 717,2820

The GCF of 9129,3606 is 3 .

LCM of 717,2820 is 673980.

The greatest common factor of 9129/717,3606/2820 = [GCF of 9129,3606]/[LCM of 717,2820]= 3/673980

Therefore, the GCF of 9129/717,3606/2820 is 3/673980.

Greatest Common Factor of 9129,3606

To find the highest common factor of 9129,3606, we have to find the factors of both numbers and list the highest common factor.

The factors of 9129 are 1, 3, 17, 51, 179, 537, 3043, 9129

The factors of 3606 are 1, 2, 3, 6, 601, 1202, 1803, 3606

The HCF of 9129,3606 is 3.

Lets's calculate GCF of 9129,3606

Greatest Common Factor (GCF) of 9129,3606 By Common Division

3 9129, 3606
3043, 1202

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9129,3606 By Matching Biggest Common Factor Method

Greatest Common Factor of 9129,3606 By Matching Biggest Common Factor Method

Now, list down the factors of 9129

:

1,3,17,51,179,537,3043,9129

Now, list down the factors of 3606

:

1,2,3,6,601,1202,1803,3606

Greatest Common Factor

We found the factors 9129,3606 . The biggest common factor number is the GCF number.
So the greatest common factor 9129,3606 is 3.


Lets's calculate LCM of 717,2820

Lowest Common Multiple of 717,2820 using Common Division

3 717, 2820
239, 940

∴ So the LCM of the given numbers is 3 x 239 x 940 = 673980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/673980

Therefore, the GCF of Fractions 9129/717,3606/2820 is 3/673980

Least Common Multiple of 717,2820 with GCF Formula

Least Common Multiple of 717,2820 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 717,2820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,2820) = 3

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

GCF(717,2820) x common factors =3 x 1 = 3

LCM(717,2820) = ( 717 × 2820 ) / 3

LCM(717,2820) = 2021940 / 3

LCM(717,2820) = 673980


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9129/717, 3606/2820

1. What is the HCF of 9129,3606?

The HCF of 9129,3606 is 3

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 9129/717, 3606/2820?

Answer: GCF of Numerators as per given numbers 9129/717, 3606/2820 is

GCF of Numerators i.e. for 9129,3606 is 3

LCM of denominators i.e. for 717,2820 is 673980.

Thus, GCF of Fractions is 3/673980.Finally, GCF of Fractions for 9129/717, 3606/2820 is 3/673980.