GCF of 3922/669, 9504/3206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3922/669, 9504/3206 i.e 2/2144814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3922/669, 9504/3206.
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 3922/669,9504/3206?
Given fractions are 3922/669,9504/3206
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 3922/669,9504/3206, numerators are 3922,9504
Denominators are 669,3206
The GCF of 3922,9504 is 2 .
LCM of 669,3206 is 2144814.
The greatest common factor of 3922/669,9504/3206 = [GCF of 3922,9504]/[LCM of 669,3206]= 2/2144814
Therefore, the GCF of 3922/669,9504/3206 is 2/2144814.
To find the highest common factor of 3922,9504, 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 9504 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 88, 96, 99, 108, 132, 144, 176, 198, 216, 264, 288, 297, 352, 396, 432, 528, 594, 792, 864, 1056, 1188, 1584, 2376, 3168, 4752, 9504
The HCF of 3922,9504 is 2.
Lets's calculate GCF of 3922,9504
| 2 | 3922, 9504 |
| 1961, 4752 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3922,9504 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 9504
:1,2,3,4,6,8,9,11,12,16,18,22,24,27,32,33,36,44,48,54,66,72,88,96,99,108,132,144,176,198,216,264,288,297,352,396,432,528,594,792,864,1056,1188,1584,2376,3168,4752,9504
Greatest Common Factor
We found the factors 3922,9504 . The biggest common factor number is the GCF number.
So the greatest common factor 3922,9504 is 2.
Lets's calculate LCM of 669,3206
Given numbers has no common factors except 1. So, there LCM is their product i.e 2144814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2144814
Therefore, the GCF of Fractions 3922/669,9504/3206 is 2/2144814
Least Common Multiple of 669,3206 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 669,3206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,3206) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,3206) x common factors =1 x 1 = 1
LCM(669,3206) = ( 669 × 3206 ) / 1
LCM(669,3206) = 2144814 / 1
LCM(669,3206) = 2144814
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3922/669, 9504/3206
1. What is the HCF of 3922,9504?
The HCF of 3922,9504 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 3922/669, 9504/3206?
Answer: GCF of Numerators as per given numbers 3922/669, 9504/3206 is
GCF of Numerators i.e. for 3922,9504 is 2
LCM of denominators i.e. for 669,3206 is 2144814.
Thus, GCF of Fractions is 2/2144814.Finally, GCF of Fractions for 3922/669, 9504/3206 is 2/2144814.