GCF of 3621/137, 1236/288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3621/137, 1236/288 i.e 3/39456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3621/137, 1236/288.
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 3621/137,1236/288?
Given fractions are 3621/137,1236/288
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 3621/137,1236/288, numerators are 3621,1236
Denominators are 137,288
The GCF of 3621,1236 is 3 .
LCM of 137,288 is 39456.
The greatest common factor of 3621/137,1236/288 = [GCF of 3621,1236]/[LCM of 137,288]= 3/39456
Therefore, the GCF of 3621/137,1236/288 is 3/39456.
To find the highest common factor of 3621,1236, we have to find the factors of both numbers and list the highest common factor.
The factors of 3621 are 1, 3, 17, 51, 71, 213, 1207, 3621
The factors of 1236 are 1, 2, 3, 4, 6, 12, 103, 206, 309, 412, 618, 1236
The HCF of 3621,1236 is 3.
Lets's calculate GCF of 3621,1236
| 3 | 3621, 1236 |
| 1207, 412 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3621,1236 By Matching Biggest Common Factor Method
Now, list down the factors of 3621
:1,3,17,51,71,213,1207,3621
Now, list down the factors of 1236
:1,2,3,4,6,12,103,206,309,412,618,1236
Greatest Common Factor
We found the factors 3621,1236 . The biggest common factor number is the GCF number.
So the greatest common factor 3621,1236 is 3.
Lets's calculate LCM of 137,288
Given numbers has no common factors except 1. So, there LCM is their product i.e 39456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/39456
Therefore, the GCF of Fractions 3621/137,1236/288 is 3/39456
Least Common Multiple of 137,288 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 137,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,288) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,288) x common factors =1 x 1 = 1
LCM(137,288) = ( 137 × 288 ) / 1
LCM(137,288) = 39456 / 1
LCM(137,288) = 39456
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FAQs on GCF of Fractions of 3621/137, 1236/288
1. What is the HCF of 3621,1236?
The HCF of 3621,1236 is 3
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 3621/137, 1236/288?
Answer: GCF of Numerators as per given numbers 3621/137, 1236/288 is
GCF of Numerators i.e. for 3621,1236 is 3
LCM of denominators i.e. for 137,288 is 39456.
Thus, GCF of Fractions is 3/39456.Finally, GCF of Fractions for 3621/137, 1236/288 is 3/39456.