GCF of 1010/490, 9704/9008
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1010/490, 9704/9008 i.e 2/2206960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1010/490, 9704/9008.
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 1010/490,9704/9008?
Given fractions are 1010/490,9704/9008
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 1010/490,9704/9008, numerators are 1010,9704
Denominators are 490,9008
The GCF of 1010,9704 is 2 .
LCM of 490,9008 is 2206960.
The greatest common factor of 1010/490,9704/9008 = [GCF of 1010,9704]/[LCM of 490,9008]= 2/2206960
Therefore, the GCF of 1010/490,9704/9008 is 2/2206960.
To find the highest common factor of 1010,9704, we have to find the factors of both numbers and list the highest common factor.
The factors of 1010 are 1, 2, 5, 10, 101, 202, 505, 1010
The factors of 9704 are 1, 2, 4, 8, 1213, 2426, 4852, 9704
The HCF of 1010,9704 is 2.
Lets's calculate GCF of 1010,9704
| 2 | 1010, 9704 |
| 505, 4852 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1010,9704 By Matching Biggest Common Factor Method
Now, list down the factors of 1010
:1,2,5,10,101,202,505,1010
Now, list down the factors of 9704
:1,2,4,8,1213,2426,4852,9704
Greatest Common Factor
We found the factors 1010,9704 . The biggest common factor number is the GCF number.
So the greatest common factor 1010,9704 is 2.
Lets's calculate LCM of 490,9008
| 2 | 490, 9008 |
| 245, 4504 |
∴ So the LCM of the given numbers is 2 x 245 x 4504 = 2206960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2206960
Therefore, the GCF of Fractions 1010/490,9704/9008 is 2/2206960
Least Common Multiple of 490,9008 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 490,9008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,9008) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(490,9008) x common factors =2 x 1 = 2
LCM(490,9008) = ( 490 × 9008 ) / 2
LCM(490,9008) = 4413920 / 2
LCM(490,9008) = 2206960
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FAQs on GCF of Fractions of 1010/490, 9704/9008
1. What is the HCF of 1010,9704?
The HCF of 1010,9704 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 1010/490, 9704/9008?
Answer: GCF of Numerators as per given numbers 1010/490, 9704/9008 is
GCF of Numerators i.e. for 1010,9704 is 2
LCM of denominators i.e. for 490,9008 is 2206960.
Thus, GCF of Fractions is 2/2206960.Finally, GCF of Fractions for 1010/490, 9704/9008 is 2/2206960.