GCF of 589/776, 682/295
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 589/776, 682/295 i.e 31/228920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 589/776, 682/295.
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 589/776,682/295?
Given fractions are 589/776,682/295
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 589/776,682/295, numerators are 589,682
Denominators are 776,295
The GCF of 589,682 is 31 .
LCM of 776,295 is 228920.
The greatest common factor of 589/776,682/295 = [GCF of 589,682]/[LCM of 776,295]= 31/228920
Therefore, the GCF of 589/776,682/295 is 31/228920.
To find the highest common factor of 589,682, we have to find the factors of both numbers and list the highest common factor.
The factors of 589 are 1, 19, 31, 589
The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682
The HCF of 589,682 is 31.
Lets's calculate GCF of 589,682
| 31 | 589, 682 |
| 19, 22 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 589,682 By Matching Biggest Common Factor Method
Now, list down the factors of 589
:1,19,31,589
Now, list down the factors of 682
:1,2,11,22,31,62,341,682
Greatest Common Factor
We found the factors 589,682 . The biggest common factor number is the GCF number.
So the greatest common factor 589,682 is 31.
Lets's calculate LCM of 776,295
Given numbers has no common factors except 1. So, there LCM is their product i.e 228920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/228920
Therefore, the GCF of Fractions 589/776,682/295 is 31/228920
Least Common Multiple of 776,295 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 776,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,295) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(776,295) x common factors =1 x 1 = 1
LCM(776,295) = ( 776 × 295 ) / 1
LCM(776,295) = 228920 / 1
LCM(776,295) = 228920
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 589/776, 682/295
1. What is the HCF of 589,682?
The HCF of 589,682 is 31
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 589/776, 682/295?
Answer: GCF of Numerators as per given numbers 589/776, 682/295 is
GCF of Numerators i.e. for 589,682 is 31
LCM of denominators i.e. for 776,295 is 228920.
Thus, GCF of Fractions is 31/228920.Finally, GCF of Fractions for 589/776, 682/295 is 31/228920.