GCF of 2010/964, 9440/4022
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2010/964, 9440/4022 i.e 10/1938604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2010/964, 9440/4022.
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 2010/964,9440/4022?
Given fractions are 2010/964,9440/4022
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 2010/964,9440/4022, numerators are 2010,9440
Denominators are 964,4022
The GCF of 2010,9440 is 10 .
LCM of 964,4022 is 1938604.
The greatest common factor of 2010/964,9440/4022 = [GCF of 2010,9440]/[LCM of 964,4022]= 10/1938604
Therefore, the GCF of 2010/964,9440/4022 is 10/1938604.
To find the highest common factor of 2010,9440, we have to find the factors of both numbers and list the highest common factor.
The factors of 2010 are 1, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, 2010
The factors of 9440 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 80, 118, 160, 236, 295, 472, 590, 944, 1180, 1888, 2360, 4720, 9440
The HCF of 2010,9440 is 10.
Lets's calculate GCF of 2010,9440
| 2 | 2010, 9440 |
| 5 | 1005, 4720 |
| 201, 944 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 2010,9440 By Matching Biggest Common Factor Method
Now, list down the factors of 2010
:1,2,3,5,6,10,15,30,67,134,201,335,402,670,1005,2010
Now, list down the factors of 9440
:1,2,4,5,8,10,16,20,32,40,59,80,118,160,236,295,472,590,944,1180,1888,2360,4720,9440
Greatest Common Factor
We found the factors 2010,9440 . The biggest common factor number is the GCF number.
So the greatest common factor 2010,9440 is 10.
Lets's calculate LCM of 964,4022
| 2 | 964, 4022 |
| 482, 2011 |
∴ So the LCM of the given numbers is 2 x 482 x 2011 = 1938604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1938604
Therefore, the GCF of Fractions 2010/964,9440/4022 is 10/1938604
Least Common Multiple of 964,4022 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 964,4022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,4022) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(964,4022) x common factors =2 x 1 = 2
LCM(964,4022) = ( 964 × 4022 ) / 2
LCM(964,4022) = 3877208 / 2
LCM(964,4022) = 1938604
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FAQs on GCF of Fractions of 2010/964, 9440/4022
1. What is the HCF of 2010,9440?
The HCF of 2010,9440 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 2010/964, 9440/4022?
Answer: GCF of Numerators as per given numbers 2010/964, 9440/4022 is
GCF of Numerators i.e. for 2010,9440 is 10
LCM of denominators i.e. for 964,4022 is 1938604.
Thus, GCF of Fractions is 10/1938604.Finally, GCF of Fractions for 2010/964, 9440/4022 is 10/1938604.