Use our free GCF of Fractions Calculator tool to compute the GCF of 856/980, 808/538 i.e 8/263620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 856/980, 808/538.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 856/980,808/538
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 856/980,808/538, numerators are 856,808
Denominators are 980,538
The GCF of 856,808 is 8 .
LCM of 980,538 is 263620.
The greatest common factor of 856/980,808/538 = [GCF of 856,808]/[LCM of 980,538]= 8/263620
Therefore, the GCF of 856/980,808/538 is 8/263620.
To find the highest common factor of 856,808, 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 808 are 1, 2, 4, 8, 101, 202, 404, 808
The HCF of 856,808 is 8.
Lets's calculate GCF of 856,808
2 | 856, 808 |
2 | 428, 404 |
2 | 214, 202 |
107, 101 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 856
:1,2,4,8,107,214,428,856
Now, list down the factors of 808
:1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 856,808 . The biggest common factor number is the GCF number.
So the greatest common factor 856,808 is 8.
Lets's calculate LCM of 980,538
2 | 980, 538 |
490, 269 |
∴ So the LCM of the given numbers is 2 x 490 x 269 = 263620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/263620
Therefore, the GCF of Fractions 856/980,808/538 is 8/263620
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 980,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(980,538) x common factors =2 x 1 = 2
LCM(980,538) = ( 980 × 538 ) / 2
LCM(980,538) = 527240 / 2
LCM(980,538) = 263620
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 856,808?
The HCF of 856,808 is 8
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 856/980, 808/538?
Answer: GCF of Numerators as per given numbers 856/980, 808/538 is
GCF of Numerators i.e. for 856,808 is 8
LCM of denominators i.e. for 980,538 is 263620.
Thus, GCF of Fractions is 8/263620.Finally, GCF of Fractions for 856/980, 808/538 is 8/263620.