How to Find GCF of 3306/528, 7698/6505?

GCF of 3306/528, 7698/6505

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 3306/528, 7698/6505 i.e 6/3434640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3306/528, 7698/6505.

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 3306/528,7698/6505?

Given fractions are 3306/528,7698/6505

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 3306/528,7698/6505, numerators are 3306,7698

Denominators are 528,6505

The GCF of 3306,7698 is 6 .

LCM of 528,6505 is 3434640.

The greatest common factor of 3306/528,7698/6505 = [GCF of 3306,7698]/[LCM of 528,6505]= 6/3434640

Therefore, the GCF of 3306/528,7698/6505 is 6/3434640.

Greatest Common Factor of 3306,7698

To find the highest common factor of 3306,7698, we have to find the factors of both numbers and list the highest common factor.

The factors of 3306 are 1, 2, 3, 6, 19, 29, 38, 57, 58, 87, 114, 174, 551, 1102, 1653, 3306

The factors of 7698 are 1, 2, 3, 6, 1283, 2566, 3849, 7698

The HCF of 3306,7698 is 6.

Lets's calculate GCF of 3306,7698

Greatest Common Factor (GCF) of 3306,7698 By Common Division

2	3306, 7698
3	1653, 3849
	551, 1283

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3306,7698 By Matching Biggest Common Factor Method

Now, list down the factors of 3306

1,2,3,6,19,29,38,57,58,87,114,174,551,1102,1653,3306

Now, list down the factors of 7698

1,2,3,6,1283,2566,3849,7698

Greatest Common Factor

We found the factors 3306,7698 . The biggest common factor number is the GCF number.
So the greatest common factor 3306,7698 is 6.

Lets's calculate LCM of 528,6505

Lowest Common Multiple of 528,6505 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3434640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3434640

Therefore, the GCF of Fractions 3306/528,7698/6505 is 6/3434640

Least Common Multiple of 528,6505 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 528,6505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,6505) = 1

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

GCF(528,6505) x common factors =1 x 1 = 1

LCM(528,6505) = ( 528 × 6505 ) / 1

LCM(528,6505) = 3434640 / 1

LCM(528,6505) = 3434640

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FAQs on GCF of Fractions of 3306/528, 7698/6505

1. What is the HCF of 3306,7698?

The HCF of 3306,7698 is 6

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 3306/528, 7698/6505?

Answer: GCF of Numerators as per given numbers 3306/528, 7698/6505 is

GCF of Numerators i.e. for 3306,7698 is 6

LCM of denominators i.e. for 528,6505 is 3434640.

Thus, GCF of Fractions is 6/3434640.Finally, GCF of Fractions for 3306/528, 7698/6505 is 6/3434640.