GCF of 3636/931, 1116/4522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3636/931, 1116/4522 i.e 36/31654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3636/931, 1116/4522.
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 3636/931,1116/4522?
Given fractions are 3636/931,1116/4522
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 3636/931,1116/4522, numerators are 3636,1116
Denominators are 931,4522
The GCF of 3636,1116 is 36 .
LCM of 931,4522 is 31654.
The greatest common factor of 3636/931,1116/4522 = [GCF of 3636,1116]/[LCM of 931,4522]= 36/31654
Therefore, the GCF of 3636/931,1116/4522 is 36/31654.
To find the highest common factor of 3636,1116, 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 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116
The HCF of 3636,1116 is 36.
Lets's calculate GCF of 3636,1116
| 2 | 3636, 1116 |
| 2 | 1818, 558 |
| 3 | 909, 279 |
| 3 | 303, 93 |
| 101, 31 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 3636,1116 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 1116
:1,2,3,4,6,9,12,18,31,36,62,93,124,186,279,372,558,1116
Greatest Common Factor
We found the factors 3636,1116 . The biggest common factor number is the GCF number.
So the greatest common factor 3636,1116 is 36.
Lets's calculate LCM of 931,4522
| 7 | 931, 4522 |
| 19 | 133, 646 |
| 7, 34 |
∴ So the LCM of the given numbers is 7 x 19 x 7 x 34 = 31654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/31654
Therefore, the GCF of Fractions 3636/931,1116/4522 is 36/31654
Least Common Multiple of 931,4522 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 931,4522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,4522) = 133
common factors(in case of two or more numbers have common factors) = 1
GCF(931,4522) x common factors =133 x 1 = 133
LCM(931,4522) = ( 931 × 4522 ) / 133
LCM(931,4522) = 4209982 / 133
LCM(931,4522) = 31654
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FAQs on GCF of Fractions of 3636/931, 1116/4522
1. What is the HCF of 3636,1116?
The HCF of 3636,1116 is 36
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 3636/931, 1116/4522?
Answer: GCF of Numerators as per given numbers 3636/931, 1116/4522 is
GCF of Numerators i.e. for 3636,1116 is 36
LCM of denominators i.e. for 931,4522 is 31654.
Thus, GCF of Fractions is 36/31654.Finally, GCF of Fractions for 3636/931, 1116/4522 is 36/31654.