Use our free GCF of Fractions Calculator tool to compute the GCF of 35/846, 957/729, 526/666 i.e 1/2535462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/846, 957/729, 526/666.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/846,957/729,526/666
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 35/846,957/729,526/666, numerators are 35,957,526
Denominators are 846,729,666
The GCF of 35,957,526 is 1 .
LCM of 846,729,666 is 2535462.
The greatest common factor of 35/846,957/729,526/666 = [GCF of 35,957,526]/[LCM of 846,729,666]= 1/2535462
Therefore, the GCF of 35/846,957/729,526/666 is 1/2535462.
To find the highest common factor of 35,957,526, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957
The factors of 526 are 1, 2, 263, 526
The HCF of 35,957,526 is 1.
Lets's calculate GCF of 35,957,526
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 957
:1,3,11,29,33,87,319,957
Now, list down the factors of 526
:1,2,263,526
Greatest Common Factor
We found the factors 35,957,526 . The biggest common factor number is the GCF number.
So the greatest common factor 35,957,526 is 1.
Lets's calculate LCM of 846,729,666
2 | 846, 729, 666 |
3 | 423, 729, 333 |
3 | 141, 243, 111 |
47, 81, 37 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 47 x 81 x 37 = 2535462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2535462
Therefore, the GCF of Fractions 35/846,957/729,526/666 is 1/2535462
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 846,729,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,729,666) = 9
common factors(in case of two or more numbers have common factors) = 18
GCF(846,729,666) x common factors =9 x 18 = 162
LCM(846,729,666) = ( 846 × 729 × 666 ) / 162
LCM(846,729,666) = 410744844 / 162
LCM(846,729,666) = 2535462
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 35,957,526?
The HCF of 35,957,526 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 35/846, 957/729, 526/666?
Answer: GCF of Numerators as per given numbers 35/846, 957/729, 526/666 is
GCF of Numerators i.e. for 35,957,526 is 1
LCM of denominators i.e. for 846,729,666 is 2535462.
Thus, GCF of Fractions is 1/2535462.Finally, GCF of Fractions for 35/846, 957/729, 526/666 is 1/2535462.