Use our free GCF of Fractions Calculator tool to compute the GCF of 655/166, 526/698 i.e 1/57934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 655/166, 526/698.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 655/166,526/698
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 655/166,526/698, numerators are 655,526
Denominators are 166,698
The GCF of 655,526 is 1 .
LCM of 166,698 is 57934.
The greatest common factor of 655/166,526/698 = [GCF of 655,526]/[LCM of 166,698]= 1/57934
Therefore, the GCF of 655/166,526/698 is 1/57934.
To find the highest common factor of 655,526, we have to find the factors of both numbers and list the highest common factor.
The factors of 655 are 1, 5, 131, 655
The factors of 526 are 1, 2, 263, 526
The HCF of 655,526 is 1.
Lets's calculate GCF of 655,526
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 655
:1,5,131,655
Now, list down the factors of 526
:1,2,263,526
Greatest Common Factor
We found the factors 655,526 . The biggest common factor number is the GCF number.
So the greatest common factor 655,526 is 1.
Lets's calculate LCM of 166,698
2 | 166, 698 |
83, 349 |
∴ So the LCM of the given numbers is 2 x 83 x 349 = 57934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57934
Therefore, the GCF of Fractions 655/166,526/698 is 1/57934
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 166,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(166,698) x common factors =2 x 1 = 2
LCM(166,698) = ( 166 × 698 ) / 2
LCM(166,698) = 115868 / 2
LCM(166,698) = 57934
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 655,526?
The HCF of 655,526 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 655/166, 526/698?
Answer: GCF of Numerators as per given numbers 655/166, 526/698 is
GCF of Numerators i.e. for 655,526 is 1
LCM of denominators i.e. for 166,698 is 57934.
Thus, GCF of Fractions is 1/57934.Finally, GCF of Fractions for 655/166, 526/698 is 1/57934.