GCF of 3981/986, 5322/6334
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3981/986, 5322/6334 i.e 3/3122662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3981/986, 5322/6334.
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 3981/986,5322/6334?
Given fractions are 3981/986,5322/6334
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 3981/986,5322/6334, numerators are 3981,5322
Denominators are 986,6334
The GCF of 3981,5322 is 3 .
LCM of 986,6334 is 3122662.
The greatest common factor of 3981/986,5322/6334 = [GCF of 3981,5322]/[LCM of 986,6334]= 3/3122662
Therefore, the GCF of 3981/986,5322/6334 is 3/3122662.
To find the highest common factor of 3981,5322, we have to find the factors of both numbers and list the highest common factor.
The factors of 3981 are 1, 3, 1327, 3981
The factors of 5322 are 1, 2, 3, 6, 887, 1774, 2661, 5322
The HCF of 3981,5322 is 3.
Lets's calculate GCF of 3981,5322
| 3 | 3981, 5322 |
| 1327, 1774 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3981,5322 By Matching Biggest Common Factor Method
Now, list down the factors of 3981
:1,3,1327,3981
Now, list down the factors of 5322
:1,2,3,6,887,1774,2661,5322
Greatest Common Factor
We found the factors 3981,5322 . The biggest common factor number is the GCF number.
So the greatest common factor 3981,5322 is 3.
Lets's calculate LCM of 986,6334
| 2 | 986, 6334 |
| 493, 3167 |
∴ So the LCM of the given numbers is 2 x 493 x 3167 = 3122662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3122662
Therefore, the GCF of Fractions 3981/986,5322/6334 is 3/3122662
Least Common Multiple of 986,6334 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 986,6334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,6334) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(986,6334) x common factors =2 x 1 = 2
LCM(986,6334) = ( 986 × 6334 ) / 2
LCM(986,6334) = 6245324 / 2
LCM(986,6334) = 3122662
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FAQs on GCF of Fractions of 3981/986, 5322/6334
1. What is the HCF of 3981,5322?
The HCF of 3981,5322 is 3
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 3981/986, 5322/6334?
Answer: GCF of Numerators as per given numbers 3981/986, 5322/6334 is
GCF of Numerators i.e. for 3981,5322 is 3
LCM of denominators i.e. for 986,6334 is 3122662.
Thus, GCF of Fractions is 3/3122662.Finally, GCF of Fractions for 3981/986, 5322/6334 is 3/3122662.