Use our free GCF of Fractions Calculator tool to compute the GCF of 856/140, 985/590 i.e 1/8260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 856/140, 985/590.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 856/140,985/590
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 856/140,985/590, numerators are 856,985
Denominators are 140,590
The GCF of 856,985 is 1 .
LCM of 140,590 is 8260.
The greatest common factor of 856/140,985/590 = [GCF of 856,985]/[LCM of 140,590]= 1/8260
Therefore, the GCF of 856/140,985/590 is 1/8260.
To find the highest common factor of 856,985, we have to find the factors of both numbers and list the highest common factor.
The factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856
The factors of 985 are 1, 5, 197, 985
The HCF of 856,985 is 1.
Lets's calculate GCF of 856,985
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 856
:1,2,4,8,107,214,428,856
Now, list down the factors of 985
:1,5,197,985
Greatest Common Factor
We found the factors 856,985 . The biggest common factor number is the GCF number.
So the greatest common factor 856,985 is 1.
Lets's calculate LCM of 140,590
2 | 140, 590 |
5 | 70, 295 |
14, 59 |
∴ So the LCM of the given numbers is 2 x 5 x 14 x 59 = 8260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8260
Therefore, the GCF of Fractions 856/140,985/590 is 1/8260
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 140,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,590) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(140,590) x common factors =10 x 1 = 10
LCM(140,590) = ( 140 × 590 ) / 10
LCM(140,590) = 82600 / 10
LCM(140,590) = 8260
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 856,985?
The HCF of 856,985 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 856/140, 985/590?
Answer: GCF of Numerators as per given numbers 856/140, 985/590 is
GCF of Numerators i.e. for 856,985 is 1
LCM of denominators i.e. for 140,590 is 8260.
Thus, GCF of Fractions is 1/8260.Finally, GCF of Fractions for 856/140, 985/590 is 1/8260.