Use our free GCF of Fractions Calculator tool to compute the GCF of 825/866, 902/677 i.e 11/586282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 825/866, 902/677.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 825/866,902/677
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 825/866,902/677, numerators are 825,902
Denominators are 866,677
The GCF of 825,902 is 11 .
LCM of 866,677 is 586282.
The greatest common factor of 825/866,902/677 = [GCF of 825,902]/[LCM of 866,677]= 11/586282
Therefore, the GCF of 825/866,902/677 is 11/586282.
To find the highest common factor of 825,902, we have to find the factors of both numbers and list the highest common factor.
The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
The factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902
The HCF of 825,902 is 11.
Lets's calculate GCF of 825,902
11 | 825, 902 |
75, 82 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 825
:1,3,5,11,15,25,33,55,75,165,275,825
Now, list down the factors of 902
:1,2,11,22,41,82,451,902
Greatest Common Factor
We found the factors 825,902 . The biggest common factor number is the GCF number.
So the greatest common factor 825,902 is 11.
Lets's calculate LCM of 866,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 586282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/586282
Therefore, the GCF of Fractions 825/866,902/677 is 11/586282
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 866,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(866,677) x common factors =1 x 1 = 1
LCM(866,677) = ( 866 × 677 ) / 1
LCM(866,677) = 586282 / 1
LCM(866,677) = 586282
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 825,902?
The HCF of 825,902 is 11
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 825/866, 902/677?
Answer: GCF of Numerators as per given numbers 825/866, 902/677 is
GCF of Numerators i.e. for 825,902 is 11
LCM of denominators i.e. for 866,677 is 586282.
Thus, GCF of Fractions is 11/586282.Finally, GCF of Fractions for 825/866, 902/677 is 11/586282.