GCF of 4010/998, 4490/8600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4010/998, 4490/8600 i.e 10/4291400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4010/998, 4490/8600.
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 4010/998,4490/8600?
Given fractions are 4010/998,4490/8600
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 4010/998,4490/8600, numerators are 4010,4490
Denominators are 998,8600
The GCF of 4010,4490 is 10 .
LCM of 998,8600 is 4291400.
The greatest common factor of 4010/998,4490/8600 = [GCF of 4010,4490]/[LCM of 998,8600]= 10/4291400
Therefore, the GCF of 4010/998,4490/8600 is 10/4291400.
To find the highest common factor of 4010,4490, we have to find the factors of both numbers and list the highest common factor.
The factors of 4010 are 1, 2, 5, 10, 401, 802, 2005, 4010
The factors of 4490 are 1, 2, 5, 10, 449, 898, 2245, 4490
The HCF of 4010,4490 is 10.
Lets's calculate GCF of 4010,4490
| 2 | 4010, 4490 |
| 5 | 2005, 2245 |
| 401, 449 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4010,4490 By Matching Biggest Common Factor Method
Now, list down the factors of 4010
:1,2,5,10,401,802,2005,4010
Now, list down the factors of 4490
:1,2,5,10,449,898,2245,4490
Greatest Common Factor
We found the factors 4010,4490 . The biggest common factor number is the GCF number.
So the greatest common factor 4010,4490 is 10.
Lets's calculate LCM of 998,8600
| 2 | 998, 8600 |
| 499, 4300 |
∴ So the LCM of the given numbers is 2 x 499 x 4300 = 4291400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/4291400
Therefore, the GCF of Fractions 4010/998,4490/8600 is 10/4291400
Least Common Multiple of 998,8600 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 998,8600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,8600) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(998,8600) x common factors =2 x 1 = 2
LCM(998,8600) = ( 998 × 8600 ) / 2
LCM(998,8600) = 8582800 / 2
LCM(998,8600) = 4291400
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FAQs on GCF of Fractions of 4010/998, 4490/8600
1. What is the HCF of 4010,4490?
The HCF of 4010,4490 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 4010/998, 4490/8600?
Answer: GCF of Numerators as per given numbers 4010/998, 4490/8600 is
GCF of Numerators i.e. for 4010,4490 is 10
LCM of denominators i.e. for 998,8600 is 4291400.
Thus, GCF of Fractions is 10/4291400.Finally, GCF of Fractions for 4010/998, 4490/8600 is 10/4291400.