How to Find GCF of 3296/731, 6153/9965?

GCF of 3296/731, 6153/9965

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 3296/731, 6153/9965 i.e 1/7284415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3296/731, 6153/9965.

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 3296/731,6153/9965?

Given fractions are 3296/731,6153/9965

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 3296/731,6153/9965, numerators are 3296,6153

Denominators are 731,9965

The GCF of 3296,6153 is 1 .

LCM of 731,9965 is 7284415.

The greatest common factor of 3296/731,6153/9965 = [GCF of 3296,6153]/[LCM of 731,9965]= 1/7284415

Therefore, the GCF of 3296/731,6153/9965 is 1/7284415.

Greatest Common Factor of 3296,6153

To find the highest common factor of 3296,6153, we have to find the factors of both numbers and list the highest common factor.

The factors of 3296 are 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648, 3296

The factors of 6153 are 1, 3, 7, 21, 293, 879, 2051, 6153

The HCF of 3296,6153 is 1.

Lets's calculate GCF of 3296,6153

Greatest Common Factor (GCF) of 3296,6153 By Common Division

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

Greatest Common Factor of 3296,6153 By Matching Biggest Common Factor Method

Now, list down the factors of 3296

1,2,4,8,16,32,103,206,412,824,1648,3296

Now, list down the factors of 6153

1,3,7,21,293,879,2051,6153

Greatest Common Factor

We found the factors 3296,6153 . The biggest common factor number is the GCF number.
So the greatest common factor 3296,6153 is 1.

Lets's calculate LCM of 731,9965

Lowest Common Multiple of 731,9965 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7284415

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7284415

Therefore, the GCF of Fractions 3296/731,6153/9965 is 1/7284415

Least Common Multiple of 731,9965 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 731,9965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,9965) = 1

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

GCF(731,9965) x common factors =1 x 1 = 1

LCM(731,9965) = ( 731 × 9965 ) / 1

LCM(731,9965) = 7284415 / 1

LCM(731,9965) = 7284415

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3296/731, 6153/9965

1. What is the HCF of 3296,6153?

The HCF of 3296,6153 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 3296/731, 6153/9965?

Answer: GCF of Numerators as per given numbers 3296/731, 6153/9965 is

GCF of Numerators i.e. for 3296,6153 is 1

LCM of denominators i.e. for 731,9965 is 7284415.

Thus, GCF of Fractions is 1/7284415.Finally, GCF of Fractions for 3296/731, 6153/9965 is 1/7284415.