GCF of 3637/618, 9903/2274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3637/618, 9903/2274 i.e 1/234222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3637/618, 9903/2274.
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 3637/618,9903/2274?
Given fractions are 3637/618,9903/2274
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 3637/618,9903/2274, numerators are 3637,9903
Denominators are 618,2274
The GCF of 3637,9903 is 1 .
LCM of 618,2274 is 234222.
The greatest common factor of 3637/618,9903/2274 = [GCF of 3637,9903]/[LCM of 618,2274]= 1/234222
Therefore, the GCF of 3637/618,9903/2274 is 1/234222.
To find the highest common factor of 3637,9903, we have to find the factors of both numbers and list the highest common factor.
The factors of 3637 are 1, 3637
The factors of 9903 are 1, 3, 3301, 9903
The HCF of 3637,9903 is 1.
Lets's calculate GCF of 3637,9903
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3637,9903 By Matching Biggest Common Factor Method
Now, list down the factors of 3637
:1,3637
Now, list down the factors of 9903
:1,3,3301,9903
Greatest Common Factor
We found the factors 3637,9903 . The biggest common factor number is the GCF number.
So the greatest common factor 3637,9903 is 1.
Lets's calculate LCM of 618,2274
| 2 | 618, 2274 |
| 3 | 309, 1137 |
| 103, 379 |
∴ So the LCM of the given numbers is 2 x 3 x 103 x 379 = 234222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/234222
Therefore, the GCF of Fractions 3637/618,9903/2274 is 1/234222
Least Common Multiple of 618,2274 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 618,2274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,2274) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(618,2274) x common factors =6 x 1 = 6
LCM(618,2274) = ( 618 × 2274 ) / 6
LCM(618,2274) = 1405332 / 6
LCM(618,2274) = 234222
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3637/618, 9903/2274
1. What is the HCF of 3637,9903?
The HCF of 3637,9903 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 3637/618, 9903/2274?
Answer: GCF of Numerators as per given numbers 3637/618, 9903/2274 is
GCF of Numerators i.e. for 3637,9903 is 1
LCM of denominators i.e. for 618,2274 is 234222.
Thus, GCF of Fractions is 1/234222.Finally, GCF of Fractions for 3637/618, 9903/2274 is 1/234222.