GCF of 3156/160, 9482/3430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3156/160, 9482/3430 i.e 2/54880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3156/160, 9482/3430.
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 3156/160,9482/3430?
Given fractions are 3156/160,9482/3430
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 3156/160,9482/3430, numerators are 3156,9482
Denominators are 160,3430
The GCF of 3156,9482 is 2 .
LCM of 160,3430 is 54880.
The greatest common factor of 3156/160,9482/3430 = [GCF of 3156,9482]/[LCM of 160,3430]= 2/54880
Therefore, the GCF of 3156/160,9482/3430 is 2/54880.
To find the highest common factor of 3156,9482, we have to find the factors of both numbers and list the highest common factor.
The factors of 3156 are 1, 2, 3, 4, 6, 12, 263, 526, 789, 1052, 1578, 3156
The factors of 9482 are 1, 2, 11, 22, 431, 862, 4741, 9482
The HCF of 3156,9482 is 2.
Lets's calculate GCF of 3156,9482
| 2 | 3156, 9482 |
| 1578, 4741 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3156,9482 By Matching Biggest Common Factor Method
Now, list down the factors of 3156
:1,2,3,4,6,12,263,526,789,1052,1578,3156
Now, list down the factors of 9482
:1,2,11,22,431,862,4741,9482
Greatest Common Factor
We found the factors 3156,9482 . The biggest common factor number is the GCF number.
So the greatest common factor 3156,9482 is 2.
Lets's calculate LCM of 160,3430
| 2 | 160, 3430 |
| 5 | 80, 1715 |
| 16, 343 |
∴ So the LCM of the given numbers is 2 x 5 x 16 x 343 = 54880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54880
Therefore, the GCF of Fractions 3156/160,9482/3430 is 2/54880
Least Common Multiple of 160,3430 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 160,3430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,3430) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(160,3430) x common factors =10 x 1 = 10
LCM(160,3430) = ( 160 × 3430 ) / 10
LCM(160,3430) = 548800 / 10
LCM(160,3430) = 54880
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3156/160, 9482/3430
1. What is the HCF of 3156,9482?
The HCF of 3156,9482 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 3156/160, 9482/3430?
Answer: GCF of Numerators as per given numbers 3156/160, 9482/3430 is
GCF of Numerators i.e. for 3156,9482 is 2
LCM of denominators i.e. for 160,3430 is 54880.
Thus, GCF of Fractions is 2/54880.Finally, GCF of Fractions for 3156/160, 9482/3430 is 2/54880.