Use our free GCF of Fractions Calculator tool to compute the GCF of 830/134, 580/889 i.e 10/119126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 830/134, 580/889.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 830/134,580/889
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 830/134,580/889, numerators are 830,580
Denominators are 134,889
The GCF of 830,580 is 10 .
LCM of 134,889 is 119126.
The greatest common factor of 830/134,580/889 = [GCF of 830,580]/[LCM of 134,889]= 10/119126
Therefore, the GCF of 830/134,580/889 is 10/119126.
To find the highest common factor of 830,580, we have to find the factors of both numbers and list the highest common factor.
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 830,580 is 10.
Lets's calculate GCF of 830,580
2 | 830, 580 |
5 | 415, 290 |
83, 58 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
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 830,580 . The biggest common factor number is the GCF number.
So the greatest common factor 830,580 is 10.
Lets's calculate LCM of 134,889
Given numbers has no common factors except 1. So, there LCM is their product i.e 119126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/119126
Therefore, the GCF of Fractions 830/134,580/889 is 10/119126
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 134,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(134,889) x common factors =1 x 1 = 1
LCM(134,889) = ( 134 × 889 ) / 1
LCM(134,889) = 119126 / 1
LCM(134,889) = 119126
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 830,580?
The HCF of 830,580 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 830/134, 580/889?
Answer: GCF of Numerators as per given numbers 830/134, 580/889 is
GCF of Numerators i.e. for 830,580 is 10
LCM of denominators i.e. for 134,889 is 119126.
Thus, GCF of Fractions is 10/119126.Finally, GCF of Fractions for 830/134, 580/889 is 10/119126.