GCF of 3113/322, 9882/7384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3113/322, 9882/7384 i.e 1/1188824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3113/322, 9882/7384.
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 3113/322,9882/7384?
Given fractions are 3113/322,9882/7384
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 3113/322,9882/7384, numerators are 3113,9882
Denominators are 322,7384
The GCF of 3113,9882 is 1 .
LCM of 322,7384 is 1188824.
The greatest common factor of 3113/322,9882/7384 = [GCF of 3113,9882]/[LCM of 322,7384]= 1/1188824
Therefore, the GCF of 3113/322,9882/7384 is 1/1188824.
To find the highest common factor of 3113,9882, we have to find the factors of both numbers and list the highest common factor.
The factors of 3113 are 1, 11, 283, 3113
The factors of 9882 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 366, 549, 1098, 1647, 3294, 4941, 9882
The HCF of 3113,9882 is 1.
Lets's calculate GCF of 3113,9882
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3113,9882 By Matching Biggest Common Factor Method
Now, list down the factors of 3113
:1,11,283,3113
Now, list down the factors of 9882
:1,2,3,6,9,18,27,54,61,81,122,162,183,366,549,1098,1647,3294,4941,9882
Greatest Common Factor
We found the factors 3113,9882 . The biggest common factor number is the GCF number.
So the greatest common factor 3113,9882 is 1.
Lets's calculate LCM of 322,7384
| 2 | 322, 7384 |
| 161, 3692 |
∴ So the LCM of the given numbers is 2 x 161 x 3692 = 1188824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1188824
Therefore, the GCF of Fractions 3113/322,9882/7384 is 1/1188824
Least Common Multiple of 322,7384 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 322,7384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,7384) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(322,7384) x common factors =2 x 1 = 2
LCM(322,7384) = ( 322 × 7384 ) / 2
LCM(322,7384) = 2377648 / 2
LCM(322,7384) = 1188824
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3113/322, 9882/7384
1. What is the HCF of 3113,9882?
The HCF of 3113,9882 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 3113/322, 9882/7384?
Answer: GCF of Numerators as per given numbers 3113/322, 9882/7384 is
GCF of Numerators i.e. for 3113,9882 is 1
LCM of denominators i.e. for 322,7384 is 1188824.
Thus, GCF of Fractions is 1/1188824.Finally, GCF of Fractions for 3113/322, 9882/7384 is 1/1188824.