GCF of 3636/532, 3135/3307
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3636/532, 3135/3307 i.e 3/1759324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3636/532, 3135/3307.
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 3636/532,3135/3307?
Given fractions are 3636/532,3135/3307
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 3636/532,3135/3307, numerators are 3636,3135
Denominators are 532,3307
The GCF of 3636,3135 is 3 .
LCM of 532,3307 is 1759324.
The greatest common factor of 3636/532,3135/3307 = [GCF of 3636,3135]/[LCM of 532,3307]= 3/1759324
Therefore, the GCF of 3636/532,3135/3307 is 3/1759324.
To find the highest common factor of 3636,3135, we have to find the factors of both numbers and list the highest common factor.
The factors of 3636 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 101, 202, 303, 404, 606, 909, 1212, 1818, 3636
The factors of 3135 are 1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045, 3135
The HCF of 3636,3135 is 3.
Lets's calculate GCF of 3636,3135
| 3 | 3636, 3135 |
| 1212, 1045 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3636,3135 By Matching Biggest Common Factor Method
Now, list down the factors of 3636
:1,2,3,4,6,9,12,18,36,101,202,303,404,606,909,1212,1818,3636
Now, list down the factors of 3135
:1,3,5,11,15,19,33,55,57,95,165,209,285,627,1045,3135
Greatest Common Factor
We found the factors 3636,3135 . The biggest common factor number is the GCF number.
So the greatest common factor 3636,3135 is 3.
Lets's calculate LCM of 532,3307
Given numbers has no common factors except 1. So, there LCM is their product i.e 1759324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1759324
Therefore, the GCF of Fractions 3636/532,3135/3307 is 3/1759324
Least Common Multiple of 532,3307 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 532,3307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,3307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(532,3307) x common factors =1 x 1 = 1
LCM(532,3307) = ( 532 × 3307 ) / 1
LCM(532,3307) = 1759324 / 1
LCM(532,3307) = 1759324
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FAQs on GCF of Fractions of 3636/532, 3135/3307
1. What is the HCF of 3636,3135?
The HCF of 3636,3135 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 3636/532, 3135/3307?
Answer: GCF of Numerators as per given numbers 3636/532, 3135/3307 is
GCF of Numerators i.e. for 3636,3135 is 3
LCM of denominators i.e. for 532,3307 is 1759324.
Thus, GCF of Fractions is 3/1759324.Finally, GCF of Fractions for 3636/532, 3135/3307 is 3/1759324.