How to Find GCF of 3643/234, 9962/5216?

GCF of 3643/234, 9962/5216

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 3643/234, 9962/5216 i.e 1/610272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3643/234, 9962/5216.

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 3643/234,9962/5216?

Given fractions are 3643/234,9962/5216

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 3643/234,9962/5216, numerators are 3643,9962

Denominators are 234,5216

The GCF of 3643,9962 is 1 .

LCM of 234,5216 is 610272.

The greatest common factor of 3643/234,9962/5216 = [GCF of 3643,9962]/[LCM of 234,5216]= 1/610272

Therefore, the GCF of 3643/234,9962/5216 is 1/610272.

Greatest Common Factor of 3643,9962

To find the highest common factor of 3643,9962, we have to find the factors of both numbers and list the highest common factor.

The factors of 3643 are 1, 3643

The factors of 9962 are 1, 2, 17, 34, 293, 586, 4981, 9962

The HCF of 3643,9962 is 1.

Lets's calculate GCF of 3643,9962

Greatest Common Factor (GCF) of 3643,9962 By Common Division

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

Greatest Common Factor of 3643,9962 By Matching Biggest Common Factor Method

Now, list down the factors of 3643

1,3643

Now, list down the factors of 9962

1,2,17,34,293,586,4981,9962

Greatest Common Factor

We found the factors 3643,9962 . The biggest common factor number is the GCF number.
So the greatest common factor 3643,9962 is 1.

Lets's calculate LCM of 234,5216

Lowest Common Multiple of 234,5216 using Common Division

2	234, 5216
	117, 2608

∴ So the LCM of the given numbers is 2 x 117 x 2608 = 610272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/610272

Therefore, the GCF of Fractions 3643/234,9962/5216 is 1/610272

Least Common Multiple of 234,5216 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 234,5216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,5216) = 2

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

GCF(234,5216) x common factors =2 x 1 = 2

LCM(234,5216) = ( 234 × 5216 ) / 2

LCM(234,5216) = 1220544 / 2

LCM(234,5216) = 610272

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FAQs on GCF of Fractions of 3643/234, 9962/5216

1. What is the HCF of 3643,9962?

The HCF of 3643,9962 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 3643/234, 9962/5216?

Answer: GCF of Numerators as per given numbers 3643/234, 9962/5216 is

GCF of Numerators i.e. for 3643,9962 is 1

LCM of denominators i.e. for 234,5216 is 610272.

Thus, GCF of Fractions is 1/610272.Finally, GCF of Fractions for 3643/234, 9962/5216 is 1/610272.