GCF of 3922/209, 9384/8701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3922/209, 9384/8701 i.e 2/165319 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3922/209, 9384/8701.
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 3922/209,9384/8701?
Given fractions are 3922/209,9384/8701
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 3922/209,9384/8701, numerators are 3922,9384
Denominators are 209,8701
The GCF of 3922,9384 is 2 .
LCM of 209,8701 is 165319.
The greatest common factor of 3922/209,9384/8701 = [GCF of 3922,9384]/[LCM of 209,8701]= 2/165319
Therefore, the GCF of 3922/209,9384/8701 is 2/165319.
To find the highest common factor of 3922,9384, we have to find the factors of both numbers and list the highest common factor.
The factors of 3922 are 1, 2, 37, 53, 74, 106, 1961, 3922
The factors of 9384 are 1, 2, 3, 4, 6, 8, 12, 17, 23, 24, 34, 46, 51, 68, 69, 92, 102, 136, 138, 184, 204, 276, 391, 408, 552, 782, 1173, 1564, 2346, 3128, 4692, 9384
The HCF of 3922,9384 is 2.
Lets's calculate GCF of 3922,9384
| 2 | 3922, 9384 |
| 1961, 4692 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3922,9384 By Matching Biggest Common Factor Method
Now, list down the factors of 3922
:1,2,37,53,74,106,1961,3922
Now, list down the factors of 9384
:1,2,3,4,6,8,12,17,23,24,34,46,51,68,69,92,102,136,138,184,204,276,391,408,552,782,1173,1564,2346,3128,4692,9384
Greatest Common Factor
We found the factors 3922,9384 . The biggest common factor number is the GCF number.
So the greatest common factor 3922,9384 is 2.
Lets's calculate LCM of 209,8701
| 11 | 209, 8701 |
| 19, 791 |
∴ So the LCM of the given numbers is 11 x 19 x 791 = 165319
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/165319
Therefore, the GCF of Fractions 3922/209,9384/8701 is 2/165319
Least Common Multiple of 209,8701 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 209,8701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,8701) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(209,8701) x common factors =11 x 1 = 11
LCM(209,8701) = ( 209 × 8701 ) / 11
LCM(209,8701) = 1818509 / 11
LCM(209,8701) = 165319
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3922/209, 9384/8701
1. What is the HCF of 3922,9384?
The HCF of 3922,9384 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 3922/209, 9384/8701?
Answer: GCF of Numerators as per given numbers 3922/209, 9384/8701 is
GCF of Numerators i.e. for 3922,9384 is 2
LCM of denominators i.e. for 209,8701 is 165319.
Thus, GCF of Fractions is 2/165319.Finally, GCF of Fractions for 3922/209, 9384/8701 is 2/165319.