How to Find GCF of 3295/802, 9069/802?

GCF of 3295/802, 9069/802

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 3295/802, 9069/802 i.e 1/802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3295/802, 9069/802.

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 3295/802,9069/802?

Given fractions are 3295/802,9069/802

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 3295/802,9069/802, numerators are 3295,9069

Denominators are 802,802

The GCF of 3295,9069 is 1 .

LCM of 802,802 is 802.

The greatest common factor of 3295/802,9069/802 = [GCF of 3295,9069]/[LCM of 802,802]= 1/802

Therefore, the GCF of 3295/802,9069/802 is 1/802.

Greatest Common Factor of 3295,9069

To find the highest common factor of 3295,9069, we have to find the factors of both numbers and list the highest common factor.

The factors of 3295 are 1, 5, 659, 3295

The factors of 9069 are 1, 3, 3023, 9069

The HCF of 3295,9069 is 1.

Lets's calculate GCF of 3295,9069

Greatest Common Factor (GCF) of 3295,9069 By Common Division

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

Greatest Common Factor of 3295,9069 By Matching Biggest Common Factor Method

Now, list down the factors of 3295

1,5,659,3295

Now, list down the factors of 9069

1,3,3023,9069

Greatest Common Factor

We found the factors 3295,9069 . The biggest common factor number is the GCF number.
So the greatest common factor 3295,9069 is 1.

Lets's calculate LCM of 802,802

Lowest Common Multiple of 802,802 using Common Division

2	802, 802
401	401, 401
	1, 1

∴ So the LCM of the given numbers is 2 x 401 x 1 x 1 = 802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/802

Therefore, the GCF of Fractions 3295/802,9069/802 is 1/802

Least Common Multiple of 802,802 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 802,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,802) = 802

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

GCF(802,802) x common factors =802 x 1 = 802

LCM(802,802) = ( 802 × 802 ) / 802

LCM(802,802) = 643204 / 802

LCM(802,802) = 802

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3295/802, 9069/802

1. What is the HCF of 3295,9069?

The HCF of 3295,9069 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 3295/802, 9069/802?

Answer: GCF of Numerators as per given numbers 3295/802, 9069/802 is

GCF of Numerators i.e. for 3295,9069 is 1

LCM of denominators i.e. for 802,802 is 802.

Thus, GCF of Fractions is 1/802.Finally, GCF of Fractions for 3295/802, 9069/802 is 1/802.