GCF of 550/10, 580/211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 550/10, 580/211 i.e 10/2110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 550/10, 580/211.
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 550/10,580/211?
Given fractions are 550/10,580/211
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 550/10,580/211, numerators are 550,580
Denominators are 10,211
The GCF of 550,580 is 10 .
LCM of 10,211 is 2110.
The greatest common factor of 550/10,580/211 = [GCF of 550,580]/[LCM of 10,211]= 10/2110
Therefore, the GCF of 550/10,580/211 is 10/2110.
To find the highest common factor of 550,580, we have to find the factors of both numbers and list the highest common factor.
The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 550,580 is 10.
Lets's calculate GCF of 550,580
| 2 | 550, 580 |
| 5 | 275, 290 |
| 55, 58 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 550,580 By Matching Biggest Common Factor Method
Now, list down the factors of 550
:1,2,5,10,11,22,25,50,55,110,275,550
Now, list down the factors of 580
:1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 550,580 . The biggest common factor number is the GCF number.
So the greatest common factor 550,580 is 10.
Lets's calculate LCM of 10,211
Given numbers has no common factors except 1. So, there LCM is their product i.e 2110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2110
Therefore, the GCF of Fractions 550/10,580/211 is 10/2110
Least Common Multiple of 10,211 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 10,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,211) x common factors =1 x 1 = 1
LCM(10,211) = ( 10 × 211 ) / 1
LCM(10,211) = 2110 / 1
LCM(10,211) = 2110
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FAQs on GCF of Fractions of 550/10, 580/211
1. What is the HCF of 550,580?
The HCF of 550,580 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 550/10, 580/211?
Answer: GCF of Numerators as per given numbers 550/10, 580/211 is
GCF of Numerators i.e. for 550,580 is 10
LCM of denominators i.e. for 10,211 is 2110.
Thus, GCF of Fractions is 10/2110.Finally, GCF of Fractions for 550/10, 580/211 is 10/2110.