GCF of 3352/253, 7206/616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3352/253, 7206/616 i.e 2/14168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3352/253, 7206/616.
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 3352/253,7206/616?
Given fractions are 3352/253,7206/616
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 3352/253,7206/616, numerators are 3352,7206
Denominators are 253,616
The GCF of 3352,7206 is 2 .
LCM of 253,616 is 14168.
The greatest common factor of 3352/253,7206/616 = [GCF of 3352,7206]/[LCM of 253,616]= 2/14168
Therefore, the GCF of 3352/253,7206/616 is 2/14168.
To find the highest common factor of 3352,7206, we have to find the factors of both numbers and list the highest common factor.
The factors of 3352 are 1, 2, 4, 8, 419, 838, 1676, 3352
The factors of 7206 are 1, 2, 3, 6, 1201, 2402, 3603, 7206
The HCF of 3352,7206 is 2.
Lets's calculate GCF of 3352,7206
| 2 | 3352, 7206 |
| 1676, 3603 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3352,7206 By Matching Biggest Common Factor Method
Now, list down the factors of 3352
:1,2,4,8,419,838,1676,3352
Now, list down the factors of 7206
:1,2,3,6,1201,2402,3603,7206
Greatest Common Factor
We found the factors 3352,7206 . The biggest common factor number is the GCF number.
So the greatest common factor 3352,7206 is 2.
Lets's calculate LCM of 253,616
| 11 | 253, 616 |
| 23, 56 |
∴ So the LCM of the given numbers is 11 x 23 x 56 = 14168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14168
Therefore, the GCF of Fractions 3352/253,7206/616 is 2/14168
Least Common Multiple of 253,616 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 253,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,616) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(253,616) x common factors =11 x 1 = 11
LCM(253,616) = ( 253 × 616 ) / 11
LCM(253,616) = 155848 / 11
LCM(253,616) = 14168
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3352/253, 7206/616
1. What is the HCF of 3352,7206?
The HCF of 3352,7206 is 2
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 3352/253, 7206/616?
Answer: GCF of Numerators as per given numbers 3352/253, 7206/616 is
GCF of Numerators i.e. for 3352,7206 is 2
LCM of denominators i.e. for 253,616 is 14168.
Thus, GCF of Fractions is 2/14168.Finally, GCF of Fractions for 3352/253, 7206/616 is 2/14168.