GCF of 83/440, 63/998, 237/517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 83/440, 63/998, 237/517 i.e 1/10319320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 83/440, 63/998, 237/517.
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 83/440,63/998,237/517?
Given fractions are 83/440,63/998,237/517
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 83/440,63/998,237/517, numerators are 83,63,237
Denominators are 440,998,517
The GCF of 83,63,237 is 1 .
LCM of 440,998,517 is 10319320.
The greatest common factor of 83/440,63/998,237/517 = [GCF of 83,63,237]/[LCM of 440,998,517]= 1/10319320
Therefore, the GCF of 83/440,63/998,237/517 is 1/10319320.
To find the highest common factor of 83,63,237, we have to find the factors of both numbers and list the highest common factor.
The factors of 83 are 1, 83
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 237 are 1, 3, 79, 237
The HCF of 83,63,237 is 1.
Lets's calculate GCF of 83,63,237
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 83,63,237 By Matching Biggest Common Factor Method
Now, list down the factors of 83
:1,83
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 237
:1,3,79,237
Greatest Common Factor
We found the factors 83,63,237 . The biggest common factor number is the GCF number.
So the greatest common factor 83,63,237 is 1.
Lets's calculate LCM of 440,998,517
| 2 | 440, 998, 517 |
| 11 | 220, 499, 517 |
| 20, 499, 47 |
∴ So the LCM of the given numbers is 2 x 11 x 20 x 499 x 47 = 10319320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10319320
Therefore, the GCF of Fractions 83/440,63/998,237/517 is 1/10319320
Least Common Multiple of 440,998,517 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 440,998,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,998,517) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(440,998,517) x common factors =1 x 22 = 22
LCM(440,998,517) = ( 440 × 998 × 517 ) / 22
LCM(440,998,517) = 227025040 / 22
LCM(440,998,517) = 10319320
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FAQs on GCF of Fractions of 83/440, 63/998, 237/517
1. What is the HCF of 83,63,237?
The HCF of 83,63,237 is 1
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 83/440, 63/998, 237/517?
Answer: GCF of Numerators as per given numbers 83/440, 63/998, 237/517 is
GCF of Numerators i.e. for 83,63,237 is 1
LCM of denominators i.e. for 440,998,517 is 10319320.
Thus, GCF of Fractions is 1/10319320.Finally, GCF of Fractions for 83/440, 63/998, 237/517 is 1/10319320.