Use our free GCF of Fractions Calculator tool to compute the GCF of 598/428, 3554/3630 i.e 2/776820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 598/428, 3554/3630.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 598/428,3554/3630
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 598/428,3554/3630, numerators are 598,3554
Denominators are 428,3630
The GCF of 598,3554 is 2 .
LCM of 428,3630 is 776820.
The greatest common factor of 598/428,3554/3630 = [GCF of 598,3554]/[LCM of 428,3630]= 2/776820
Therefore, the GCF of 598/428,3554/3630 is 2/776820.
To find the highest common factor of 598,3554, we have to find the factors of both numbers and list the highest common factor.
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The factors of 3554 are 1, 2, 1777, 3554
The HCF of 598,3554 is 2.
Lets's calculate GCF of 598,3554
2 | 598, 3554 |
299, 1777 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Now, list down the factors of 3554
:1,2,1777,3554
Greatest Common Factor
We found the factors 598,3554 . The biggest common factor number is the GCF number.
So the greatest common factor 598,3554 is 2.
Lets's calculate LCM of 428,3630
2 | 428, 3630 |
214, 1815 |
∴ So the LCM of the given numbers is 2 x 214 x 1815 = 776820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/776820
Therefore, the GCF of Fractions 598/428,3554/3630 is 2/776820
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 428,3630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,3630) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(428,3630) x common factors =2 x 1 = 2
LCM(428,3630) = ( 428 × 3630 ) / 2
LCM(428,3630) = 1553640 / 2
LCM(428,3630) = 776820
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 598,3554?
The HCF of 598,3554 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 598/428, 3554/3630?
Answer: GCF of Numerators as per given numbers 598/428, 3554/3630 is
GCF of Numerators i.e. for 598,3554 is 2
LCM of denominators i.e. for 428,3630 is 776820.
Thus, GCF of Fractions is 2/776820.Finally, GCF of Fractions for 598/428, 3554/3630 is 2/776820.