How to Find GCF of 7443/866, 3295/6688?

GCF of 7443/866, 3295/6688

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 7443/866, 3295/6688 i.e 1/2895904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7443/866, 3295/6688.

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 7443/866,3295/6688?

Given fractions are 7443/866,3295/6688

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 7443/866,3295/6688, numerators are 7443,3295

Denominators are 866,6688

The GCF of 7443,3295 is 1 .

LCM of 866,6688 is 2895904.

The greatest common factor of 7443/866,3295/6688 = [GCF of 7443,3295]/[LCM of 866,6688]= 1/2895904

Therefore, the GCF of 7443/866,3295/6688 is 1/2895904.

Greatest Common Factor of 7443,3295

To find the highest common factor of 7443,3295, we have to find the factors of both numbers and list the highest common factor.

The factors of 7443 are 1, 3, 9, 827, 2481, 7443

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

The HCF of 7443,3295 is 1.

Lets's calculate GCF of 7443,3295

Greatest Common Factor (GCF) of 7443,3295 By Common Division

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

Greatest Common Factor of 7443,3295 By Matching Biggest Common Factor Method

Now, list down the factors of 7443

1,3,9,827,2481,7443

Now, list down the factors of 3295

1,5,659,3295

Greatest Common Factor

We found the factors 7443,3295 . The biggest common factor number is the GCF number.
So the greatest common factor 7443,3295 is 1.

Lets's calculate LCM of 866,6688

Lowest Common Multiple of 866,6688 using Common Division

2	866, 6688
	433, 3344

∴ So the LCM of the given numbers is 2 x 433 x 3344 = 2895904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2895904

Therefore, the GCF of Fractions 7443/866,3295/6688 is 1/2895904

Least Common Multiple of 866,6688 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 866,6688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,6688) = 2

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

GCF(866,6688) x common factors =2 x 1 = 2

LCM(866,6688) = ( 866 × 6688 ) / 2

LCM(866,6688) = 5791808 / 2

LCM(866,6688) = 2895904

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FAQs on GCF of Fractions of 7443/866, 3295/6688

1. What is the HCF of 7443,3295?

The HCF of 7443,3295 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 7443/866, 3295/6688?

Answer: GCF of Numerators as per given numbers 7443/866, 3295/6688 is

GCF of Numerators i.e. for 7443,3295 is 1

LCM of denominators i.e. for 866,6688 is 2895904.

Thus, GCF of Fractions is 1/2895904.Finally, GCF of Fractions for 7443/866, 3295/6688 is 1/2895904.