Use our free GCF of Fractions Calculator tool to compute the GCF of 898/508, 426/153 i.e 2/77724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 898/508, 426/153.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 898/508,426/153
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 898/508,426/153, numerators are 898,426
Denominators are 508,153
The GCF of 898,426 is 2 .
LCM of 508,153 is 77724.
The greatest common factor of 898/508,426/153 = [GCF of 898,426]/[LCM of 508,153]= 2/77724
Therefore, the GCF of 898/508,426/153 is 2/77724.
To find the highest common factor of 898,426, we have to find the factors of both numbers and list the highest common factor.
The factors of 898 are 1, 2, 449, 898
The factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426
The HCF of 898,426 is 2.
Lets's calculate GCF of 898,426
2 | 898, 426 |
449, 213 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 898
:1,2,449,898
Now, list down the factors of 426
:1,2,3,6,71,142,213,426
Greatest Common Factor
We found the factors 898,426 . The biggest common factor number is the GCF number.
So the greatest common factor 898,426 is 2.
Lets's calculate LCM of 508,153
Given numbers has no common factors except 1. So, there LCM is their product i.e 77724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/77724
Therefore, the GCF of Fractions 898/508,426/153 is 2/77724
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 508,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(508,153) x common factors =1 x 1 = 1
LCM(508,153) = ( 508 × 153 ) / 1
LCM(508,153) = 77724 / 1
LCM(508,153) = 77724
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 898,426?
The HCF of 898,426 is 2
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 898/508, 426/153?
Answer: GCF of Numerators as per given numbers 898/508, 426/153 is
GCF of Numerators i.e. for 898,426 is 2
LCM of denominators i.e. for 508,153 is 77724.
Thus, GCF of Fractions is 2/77724.Finally, GCF of Fractions for 898/508, 426/153 is 2/77724.