Use our free GCF of Fractions Calculator tool to compute the GCF of 146/134, 653/334 i.e 1/22378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 146/134, 653/334.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 146/134,653/334
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 146/134,653/334, numerators are 146,653
Denominators are 134,334
The GCF of 146,653 is 1 .
LCM of 134,334 is 22378.
The greatest common factor of 146/134,653/334 = [GCF of 146,653]/[LCM of 134,334]= 1/22378
Therefore, the GCF of 146/134,653/334 is 1/22378.
To find the highest common factor of 146,653, we have to find the factors of both numbers and list the highest common factor.
The factors of 146 are 1, 2, 73, 146
The factors of 653 are 1, 653
The HCF of 146,653 is 1.
Lets's calculate GCF of 146,653
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 146
:1,2,73,146
Now, list down the factors of 653
:1,653
Greatest Common Factor
We found the factors 146,653 . The biggest common factor number is the GCF number.
So the greatest common factor 146,653 is 1.
Lets's calculate LCM of 134,334
2 | 134, 334 |
67, 167 |
∴ So the LCM of the given numbers is 2 x 67 x 167 = 22378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22378
Therefore, the GCF of Fractions 146/134,653/334 is 1/22378
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 134,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,334) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(134,334) x common factors =2 x 1 = 2
LCM(134,334) = ( 134 × 334 ) / 2
LCM(134,334) = 44756 / 2
LCM(134,334) = 22378
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 146,653?
The HCF of 146,653 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 146/134, 653/334?
Answer: GCF of Numerators as per given numbers 146/134, 653/334 is
GCF of Numerators i.e. for 146,653 is 1
LCM of denominators i.e. for 134,334 is 22378.
Thus, GCF of Fractions is 1/22378.Finally, GCF of Fractions for 146/134, 653/334 is 1/22378.