GCF of 3733/216, 1553/852
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3733/216, 1553/852 i.e 1/15336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3733/216, 1553/852.
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 3733/216,1553/852?
Given fractions are 3733/216,1553/852
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 3733/216,1553/852, numerators are 3733,1553
Denominators are 216,852
The GCF of 3733,1553 is 1 .
LCM of 216,852 is 15336.
The greatest common factor of 3733/216,1553/852 = [GCF of 3733,1553]/[LCM of 216,852]= 1/15336
Therefore, the GCF of 3733/216,1553/852 is 1/15336.
To find the highest common factor of 3733,1553, we have to find the factors of both numbers and list the highest common factor.
The factors of 3733 are 1, 3733
The factors of 1553 are 1, 1553
The HCF of 3733,1553 is 1.
Lets's calculate GCF of 3733,1553
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3733,1553 By Matching Biggest Common Factor Method
Now, list down the factors of 3733
:1,3733
Now, list down the factors of 1553
:1,1553
Greatest Common Factor
We found the factors 3733,1553 . The biggest common factor number is the GCF number.
So the greatest common factor 3733,1553 is 1.
Lets's calculate LCM of 216,852
| 2 | 216, 852 |
| 2 | 108, 426 |
| 3 | 54, 213 |
| 18, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 18 x 71 = 15336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15336
Therefore, the GCF of Fractions 3733/216,1553/852 is 1/15336
Least Common Multiple of 216,852 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 216,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,852) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(216,852) x common factors =12 x 1 = 12
LCM(216,852) = ( 216 × 852 ) / 12
LCM(216,852) = 184032 / 12
LCM(216,852) = 15336
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3733/216, 1553/852
1. What is the HCF of 3733,1553?
The HCF of 3733,1553 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 3733/216, 1553/852?
Answer: GCF of Numerators as per given numbers 3733/216, 1553/852 is
GCF of Numerators i.e. for 3733,1553 is 1
LCM of denominators i.e. for 216,852 is 15336.
Thus, GCF of Fractions is 1/15336.Finally, GCF of Fractions for 3733/216, 1553/852 is 1/15336.