Use our free GCF of Fractions Calculator tool to compute the GCF of 71/66, 779/42, 807/825 i.e 1/11550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/66, 779/42, 807/825.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 71/66,779/42,807/825
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 71/66,779/42,807/825, numerators are 71,779,807
Denominators are 66,42,825
The GCF of 71,779,807 is 1 .
LCM of 66,42,825 is 11550.
The greatest common factor of 71/66,779/42,807/825 = [GCF of 71,779,807]/[LCM of 66,42,825]= 1/11550
Therefore, the GCF of 71/66,779/42,807/825 is 1/11550.
To find the highest common factor of 71,779,807, we have to find the factors of both numbers and list the highest common factor.
The factors of 71 are 1, 71
The factors of 779 are 1, 19, 41, 779
The factors of 807 are 1, 3, 269, 807
The HCF of 71,779,807 is 1.
Lets's calculate GCF of 71,779,807
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 71
:1,71
Now, list down the factors of 779
:1,19,41,779
Now, list down the factors of 807
:1,3,269,807
Greatest Common Factor
We found the factors 71,779,807 . The biggest common factor number is the GCF number.
So the greatest common factor 71,779,807 is 1.
Lets's calculate LCM of 66,42,825
2 | 66, 42, 825 |
3 | 33, 21, 825 |
11 | 11, 7, 275 |
1, 7, 25 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 7 x 25 = 11550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11550
Therefore, the GCF of Fractions 71/66,779/42,807/825 is 1/11550
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 66,42,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,42,825) = 3
common factors(in case of two or more numbers have common factors) = 66
GCF(66,42,825) x common factors =3 x 66 = 198
LCM(66,42,825) = ( 66 × 42 × 825 ) / 198
LCM(66,42,825) = 2286900 / 198
LCM(66,42,825) = 11550
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 71,779,807?
The HCF of 71,779,807 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 71/66, 779/42, 807/825?
Answer: GCF of Numerators as per given numbers 71/66, 779/42, 807/825 is
GCF of Numerators i.e. for 71,779,807 is 1
LCM of denominators i.e. for 66,42,825 is 11550.
Thus, GCF of Fractions is 1/11550.Finally, GCF of Fractions for 71/66, 779/42, 807/825 is 1/11550.