GCF of 3329/142, 9940/8144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3329/142, 9940/8144 i.e 1/578224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3329/142, 9940/8144.
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 3329/142,9940/8144?
Given fractions are 3329/142,9940/8144
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 3329/142,9940/8144, numerators are 3329,9940
Denominators are 142,8144
The GCF of 3329,9940 is 1 .
LCM of 142,8144 is 578224.
The greatest common factor of 3329/142,9940/8144 = [GCF of 3329,9940]/[LCM of 142,8144]= 1/578224
Therefore, the GCF of 3329/142,9940/8144 is 1/578224.
To find the highest common factor of 3329,9940, we have to find the factors of both numbers and list the highest common factor.
The factors of 3329 are 1, 3329
The factors of 9940 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940
The HCF of 3329,9940 is 1.
Lets's calculate GCF of 3329,9940
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3329,9940 By Matching Biggest Common Factor Method
Now, list down the factors of 3329
:1,3329
Now, list down the factors of 9940
:1,2,4,5,7,10,14,20,28,35,70,71,140,142,284,355,497,710,994,1420,1988,2485,4970,9940
Greatest Common Factor
We found the factors 3329,9940 . The biggest common factor number is the GCF number.
So the greatest common factor 3329,9940 is 1.
Lets's calculate LCM of 142,8144
| 2 | 142, 8144 |
| 71, 4072 |
∴ So the LCM of the given numbers is 2 x 71 x 4072 = 578224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/578224
Therefore, the GCF of Fractions 3329/142,9940/8144 is 1/578224
Least Common Multiple of 142,8144 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 142,8144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,8144) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,8144) x common factors =2 x 1 = 2
LCM(142,8144) = ( 142 × 8144 ) / 2
LCM(142,8144) = 1156448 / 2
LCM(142,8144) = 578224
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FAQs on GCF of Fractions of 3329/142, 9940/8144
1. What is the HCF of 3329,9940?
The HCF of 3329,9940 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 3329/142, 9940/8144?
Answer: GCF of Numerators as per given numbers 3329/142, 9940/8144 is
GCF of Numerators i.e. for 3329,9940 is 1
LCM of denominators i.e. for 142,8144 is 578224.
Thus, GCF of Fractions is 1/578224.Finally, GCF of Fractions for 3329/142, 9940/8144 is 1/578224.