GCF of 9322/871, 3612/4214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9322/871, 3612/4214 i.e 2/3670394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9322/871, 3612/4214.
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 9322/871,3612/4214?
Given fractions are 9322/871,3612/4214
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 9322/871,3612/4214, numerators are 9322,3612
Denominators are 871,4214
The GCF of 9322,3612 is 2 .
LCM of 871,4214 is 3670394.
The greatest common factor of 9322/871,3612/4214 = [GCF of 9322,3612]/[LCM of 871,4214]= 2/3670394
Therefore, the GCF of 9322/871,3612/4214 is 2/3670394.
To find the highest common factor of 9322,3612, we have to find the factors of both numbers and list the highest common factor.
The factors of 9322 are 1, 2, 59, 79, 118, 158, 4661, 9322
The factors of 3612 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806, 3612
The HCF of 9322,3612 is 2.
Lets's calculate GCF of 9322,3612
| 2 | 9322, 3612 |
| 4661, 1806 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9322,3612 By Matching Biggest Common Factor Method
Now, list down the factors of 9322
:1,2,59,79,118,158,4661,9322
Now, list down the factors of 3612
:1,2,3,4,6,7,12,14,21,28,42,43,84,86,129,172,258,301,516,602,903,1204,1806,3612
Greatest Common Factor
We found the factors 9322,3612 . The biggest common factor number is the GCF number.
So the greatest common factor 9322,3612 is 2.
Lets's calculate LCM of 871,4214
Given numbers has no common factors except 1. So, there LCM is their product i.e 3670394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3670394
Therefore, the GCF of Fractions 9322/871,3612/4214 is 2/3670394
Least Common Multiple of 871,4214 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 871,4214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,4214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,4214) x common factors =1 x 1 = 1
LCM(871,4214) = ( 871 × 4214 ) / 1
LCM(871,4214) = 3670394 / 1
LCM(871,4214) = 3670394
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9322/871, 3612/4214
1. What is the HCF of 9322,3612?
The HCF of 9322,3612 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 9322/871, 3612/4214?
Answer: GCF of Numerators as per given numbers 9322/871, 3612/4214 is
GCF of Numerators i.e. for 9322,3612 is 2
LCM of denominators i.e. for 871,4214 is 3670394.
Thus, GCF of Fractions is 2/3670394.Finally, GCF of Fractions for 9322/871, 3612/4214 is 2/3670394.