Use our free GCF of Fractions Calculator tool to compute the GCF of 425/836, 686/587 i.e 1/490732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 425/836, 686/587.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 425/836,686/587
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 425/836,686/587, numerators are 425,686
Denominators are 836,587
The GCF of 425,686 is 1 .
LCM of 836,587 is 490732.
The greatest common factor of 425/836,686/587 = [GCF of 425,686]/[LCM of 836,587]= 1/490732
Therefore, the GCF of 425/836,686/587 is 1/490732.
To find the highest common factor of 425,686, we have to find the factors of both numbers and list the highest common factor.
The factors of 425 are 1, 5, 17, 25, 85, 425
The factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686
The HCF of 425,686 is 1.
Lets's calculate GCF of 425,686
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 425
:1,5,17,25,85,425
Now, list down the factors of 686
:1,2,7,14,49,98,343,686
Greatest Common Factor
We found the factors 425,686 . The biggest common factor number is the GCF number.
So the greatest common factor 425,686 is 1.
Lets's calculate LCM of 836,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 490732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/490732
Therefore, the GCF of Fractions 425/836,686/587 is 1/490732
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 836,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(836,587) x common factors =1 x 1 = 1
LCM(836,587) = ( 836 × 587 ) / 1
LCM(836,587) = 490732 / 1
LCM(836,587) = 490732
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 425,686?
The HCF of 425,686 is 1
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 425/836, 686/587?
Answer: GCF of Numerators as per given numbers 425/836, 686/587 is
GCF of Numerators i.e. for 425,686 is 1
LCM of denominators i.e. for 836,587 is 490732.
Thus, GCF of Fractions is 1/490732.Finally, GCF of Fractions for 425/836, 686/587 is 1/490732.