GCF of 440/51, 890/489
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 440/51, 890/489 i.e 10/8313 easily. The following is the detailed procedure to determine the greatest common factor of fractions 440/51, 890/489.
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 440/51,890/489?
Given fractions are 440/51,890/489
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 440/51,890/489, numerators are 440,890
Denominators are 51,489
The GCF of 440,890 is 10 .
LCM of 51,489 is 8313.
The greatest common factor of 440/51,890/489 = [GCF of 440,890]/[LCM of 51,489]= 10/8313
Therefore, the GCF of 440/51,890/489 is 10/8313.
To find the highest common factor of 440,890, we have to find the factors of both numbers and list the highest common factor.
The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The HCF of 440,890 is 10.
Lets's calculate GCF of 440,890
| 2 | 440, 890 |
| 5 | 220, 445 |
| 44, 89 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 440,890 By Matching Biggest Common Factor Method
Now, list down the factors of 440
:1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Greatest Common Factor
We found the factors 440,890 . The biggest common factor number is the GCF number.
So the greatest common factor 440,890 is 10.
Lets's calculate LCM of 51,489
| 3 | 51, 489 |
| 17, 163 |
∴ So the LCM of the given numbers is 3 x 17 x 163 = 8313
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/8313
Therefore, the GCF of Fractions 440/51,890/489 is 10/8313
Least Common Multiple of 51,489 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 51,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,489) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(51,489) x common factors =3 x 1 = 3
LCM(51,489) = ( 51 × 489 ) / 3
LCM(51,489) = 24939 / 3
LCM(51,489) = 8313
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FAQs on GCF of Fractions of 440/51, 890/489
1. What is the HCF of 440,890?
The HCF of 440,890 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 440/51, 890/489?
Answer: GCF of Numerators as per given numbers 440/51, 890/489 is
GCF of Numerators i.e. for 440,890 is 10
LCM of denominators i.e. for 51,489 is 8313.
Thus, GCF of Fractions is 10/8313.Finally, GCF of Fractions for 440/51, 890/489 is 10/8313.