GCF of 9210/554, 7712/193
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9210/554, 7712/193 i.e 2/106922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9210/554, 7712/193.
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 9210/554,7712/193?
Given fractions are 9210/554,7712/193
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 9210/554,7712/193, numerators are 9210,7712
Denominators are 554,193
The GCF of 9210,7712 is 2 .
LCM of 554,193 is 106922.
The greatest common factor of 9210/554,7712/193 = [GCF of 9210,7712]/[LCM of 554,193]= 2/106922
Therefore, the GCF of 9210/554,7712/193 is 2/106922.
To find the highest common factor of 9210,7712, we have to find the factors of both numbers and list the highest common factor.
The factors of 9210 are 1, 2, 3, 5, 6, 10, 15, 30, 307, 614, 921, 1535, 1842, 3070, 4605, 9210
The factors of 7712 are 1, 2, 4, 8, 16, 32, 241, 482, 964, 1928, 3856, 7712
The HCF of 9210,7712 is 2.
Lets's calculate GCF of 9210,7712
| 2 | 9210, 7712 |
| 4605, 3856 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9210,7712 By Matching Biggest Common Factor Method
Now, list down the factors of 9210
:1,2,3,5,6,10,15,30,307,614,921,1535,1842,3070,4605,9210
Now, list down the factors of 7712
:1,2,4,8,16,32,241,482,964,1928,3856,7712
Greatest Common Factor
We found the factors 9210,7712 . The biggest common factor number is the GCF number.
So the greatest common factor 9210,7712 is 2.
Lets's calculate LCM of 554,193
Given numbers has no common factors except 1. So, there LCM is their product i.e 106922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/106922
Therefore, the GCF of Fractions 9210/554,7712/193 is 2/106922
Least Common Multiple of 554,193 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 554,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(554,193) x common factors =1 x 1 = 1
LCM(554,193) = ( 554 × 193 ) / 1
LCM(554,193) = 106922 / 1
LCM(554,193) = 106922
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9210/554, 7712/193
1. What is the HCF of 9210,7712?
The HCF of 9210,7712 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 9210/554, 7712/193?
Answer: GCF of Numerators as per given numbers 9210/554, 7712/193 is
GCF of Numerators i.e. for 9210,7712 is 2
LCM of denominators i.e. for 554,193 is 106922.
Thus, GCF of Fractions is 2/106922.Finally, GCF of Fractions for 9210/554, 7712/193 is 2/106922.