GCF of 9680/202, 2010/466
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9680/202, 2010/466 i.e 10/47066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9680/202, 2010/466.
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 9680/202,2010/466?
Given fractions are 9680/202,2010/466
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 9680/202,2010/466, numerators are 9680,2010
Denominators are 202,466
The GCF of 9680,2010 is 10 .
LCM of 202,466 is 47066.
The greatest common factor of 9680/202,2010/466 = [GCF of 9680,2010]/[LCM of 202,466]= 10/47066
Therefore, the GCF of 9680/202,2010/466 is 10/47066.
To find the highest common factor of 9680,2010, we have to find the factors of both numbers and list the highest common factor.
The factors of 9680 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 121, 176, 220, 242, 440, 484, 605, 880, 968, 1210, 1936, 2420, 4840, 9680
The factors of 2010 are 1, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, 2010
The HCF of 9680,2010 is 10.
Lets's calculate GCF of 9680,2010
| 2 | 9680, 2010 |
| 5 | 4840, 1005 |
| 968, 201 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9680,2010 By Matching Biggest Common Factor Method
Now, list down the factors of 9680
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,121,176,220,242,440,484,605,880,968,1210,1936,2420,4840,9680
Now, list down the factors of 2010
:1,2,3,5,6,10,15,30,67,134,201,335,402,670,1005,2010
Greatest Common Factor
We found the factors 9680,2010 . The biggest common factor number is the GCF number.
So the greatest common factor 9680,2010 is 10.
Lets's calculate LCM of 202,466
| 2 | 202, 466 |
| 101, 233 |
∴ So the LCM of the given numbers is 2 x 101 x 233 = 47066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/47066
Therefore, the GCF of Fractions 9680/202,2010/466 is 10/47066
Least Common Multiple of 202,466 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 202,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,466) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,466) x common factors =2 x 1 = 2
LCM(202,466) = ( 202 × 466 ) / 2
LCM(202,466) = 94132 / 2
LCM(202,466) = 47066
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9680/202, 2010/466
1. What is the HCF of 9680,2010?
The HCF of 9680,2010 is 10
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 9680/202, 2010/466?
Answer: GCF of Numerators as per given numbers 9680/202, 2010/466 is
GCF of Numerators i.e. for 9680,2010 is 10
LCM of denominators i.e. for 202,466 is 47066.
Thus, GCF of Fractions is 10/47066.Finally, GCF of Fractions for 9680/202, 2010/466 is 10/47066.