How to Find GCF of 3287/408, 9455/9186?

GCF of 3287/408, 9455/9186

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 3287/408, 9455/9186 i.e 1/624648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3287/408, 9455/9186.

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 3287/408,9455/9186?

Given fractions are 3287/408,9455/9186

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 3287/408,9455/9186, numerators are 3287,9455

Denominators are 408,9186

The GCF of 3287,9455 is 1 .

LCM of 408,9186 is 624648.

The greatest common factor of 3287/408,9455/9186 = [GCF of 3287,9455]/[LCM of 408,9186]= 1/624648

Therefore, the GCF of 3287/408,9455/9186 is 1/624648.

Greatest Common Factor of 3287,9455

To find the highest common factor of 3287,9455, we have to find the factors of both numbers and list the highest common factor.

The factors of 3287 are 1, 19, 173, 3287

The factors of 9455 are 1, 5, 31, 61, 155, 305, 1891, 9455

The HCF of 3287,9455 is 1.

Lets's calculate GCF of 3287,9455

Greatest Common Factor (GCF) of 3287,9455 By Common Division

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

Greatest Common Factor of 3287,9455 By Matching Biggest Common Factor Method

Now, list down the factors of 3287

1,19,173,3287

Now, list down the factors of 9455

1,5,31,61,155,305,1891,9455

Greatest Common Factor

We found the factors 3287,9455 . The biggest common factor number is the GCF number.
So the greatest common factor 3287,9455 is 1.

Lets's calculate LCM of 408,9186

Lowest Common Multiple of 408,9186 using Common Division

2	408, 9186
3	204, 4593
	68, 1531

∴ So the LCM of the given numbers is 2 x 3 x 68 x 1531 = 624648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/624648

Therefore, the GCF of Fractions 3287/408,9455/9186 is 1/624648

Least Common Multiple of 408,9186 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 408,9186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,9186) = 6

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

GCF(408,9186) x common factors =6 x 1 = 6

LCM(408,9186) = ( 408 × 9186 ) / 6

LCM(408,9186) = 3747888 / 6

LCM(408,9186) = 624648

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FAQs on GCF of Fractions of 3287/408, 9455/9186

1. What is the HCF of 3287,9455?

The HCF of 3287,9455 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 3287/408, 9455/9186?

Answer: GCF of Numerators as per given numbers 3287/408, 9455/9186 is

GCF of Numerators i.e. for 3287,9455 is 1

LCM of denominators i.e. for 408,9186 is 624648.

Thus, GCF of Fractions is 1/624648.Finally, GCF of Fractions for 3287/408, 9455/9186 is 1/624648.