GCF of 580/872, 870/881
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 580/872, 870/881 i.e 290/768232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 580/872, 870/881.
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 580/872,870/881?
Given fractions are 580/872,870/881
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 580/872,870/881, numerators are 580,870
Denominators are 872,881
The GCF of 580,870 is 290 .
LCM of 872,881 is 768232.
The greatest common factor of 580/872,870/881 = [GCF of 580,870]/[LCM of 872,881]= 290/768232
Therefore, the GCF of 580/872,870/881 is 290/768232.
To find the highest common factor of 580,870, we have to find the factors of both numbers and list the highest common factor.
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The HCF of 580,870 is 290.
Lets's calculate GCF of 580,870
| 2 | 580, 870 |
| 5 | 290, 435 |
| 29 | 58, 87 |
| 2, 3 |
∴ So the GCF of the given numbers is 2 x 5 x 29 = 290
Greatest Common Factor of 580,870 By Matching Biggest Common Factor Method
Now, list down the factors of 580
:1,2,4,5,10,20,29,58,116,145,290,580
Now, list down the factors of 870
:1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 580,870 . The biggest common factor number is the GCF number.
So the greatest common factor 580,870 is 290.
Lets's calculate LCM of 872,881
Given numbers has no common factors except 1. So, there LCM is their product i.e 768232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 290/768232
Therefore, the GCF of Fractions 580/872,870/881 is 290/768232
Least Common Multiple of 872,881 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 872,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(872,881) x common factors =1 x 1 = 1
LCM(872,881) = ( 872 × 881 ) / 1
LCM(872,881) = 768232 / 1
LCM(872,881) = 768232
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FAQs on GCF of Fractions of 580/872, 870/881
1. What is the HCF of 580,870?
The HCF of 580,870 is 290
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 580/872, 870/881?
Answer: GCF of Numerators as per given numbers 580/872, 870/881 is
GCF of Numerators i.e. for 580,870 is 290
LCM of denominators i.e. for 872,881 is 768232.
Thus, GCF of Fractions is 290/768232.Finally, GCF of Fractions for 580/872, 870/881 is 290/768232.