GCF of 65/588, 220/221, 350/267
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 65/588, 220/221, 350/267 i.e 5/11565372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/588, 220/221, 350/267.
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 65/588,220/221,350/267?
Given fractions are 65/588,220/221,350/267
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 65/588,220/221,350/267, numerators are 65,220,350
Denominators are 588,221,267
The GCF of 65,220,350 is 5 .
LCM of 588,221,267 is 11565372.
The greatest common factor of 65/588,220/221,350/267 = [GCF of 65,220,350]/[LCM of 588,221,267]= 5/11565372
Therefore, the GCF of 65/588,220/221,350/267 is 5/11565372.
To find the highest common factor of 65,220,350, we have to find the factors of both numbers and list the highest common factor.
The factors of 65 are 1, 5, 13, 65
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
The HCF of 65,220,350 is 5.
Lets's calculate GCF of 65,220,350
| 5 | 65, 220, 350 |
| 13, 44, 70 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 65,220,350 By Matching Biggest Common Factor Method
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Now, list down the factors of 350
:1,2,5,7,10,14,25,35,50,70,175,350
Greatest Common Factor
We found the factors 65,220,350 . The biggest common factor number is the GCF number.
So the greatest common factor 65,220,350 is 5.
Lets's calculate LCM of 588,221,267
| 3 | 588, 221, 267 |
| 196, 221, 89 |
∴ So the LCM of the given numbers is 3 x 196 x 221 x 89 = 11565372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/11565372
Therefore, the GCF of Fractions 65/588,220/221,350/267 is 5/11565372
Least Common Multiple of 588,221,267 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 588,221,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,221,267) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(588,221,267) x common factors =1 x 3 = 3
LCM(588,221,267) = ( 588 × 221 × 267 ) / 3
LCM(588,221,267) = 34696116 / 3
LCM(588,221,267) = 11565372
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FAQs on GCF of Fractions of 65/588, 220/221, 350/267
1. What is the HCF of 65,220,350?
The HCF of 65,220,350 is 5
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 65/588, 220/221, 350/267?
Answer: GCF of Numerators as per given numbers 65/588, 220/221, 350/267 is
GCF of Numerators i.e. for 65,220,350 is 5
LCM of denominators i.e. for 588,221,267 is 11565372.
Thus, GCF of Fractions is 5/11565372.Finally, GCF of Fractions for 65/588, 220/221, 350/267 is 5/11565372.