Use our free GCF of Fractions Calculator tool to compute the GCF of 614/917, 572/134 i.e 2/122878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 614/917, 572/134.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 614/917,572/134
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 614/917,572/134, numerators are 614,572
Denominators are 917,134
The GCF of 614,572 is 2 .
LCM of 917,134 is 122878.
The greatest common factor of 614/917,572/134 = [GCF of 614,572]/[LCM of 917,134]= 2/122878
Therefore, the GCF of 614/917,572/134 is 2/122878.
To find the highest common factor of 614,572, we have to find the factors of both numbers and list the highest common factor.
The factors of 614 are 1, 2, 307, 614
The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
The HCF of 614,572 is 2.
Lets's calculate GCF of 614,572
2 | 614, 572 |
307, 286 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 614
:1,2,307,614
Now, list down the factors of 572
:1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 614,572 . The biggest common factor number is the GCF number.
So the greatest common factor 614,572 is 2.
Lets's calculate LCM of 917,134
Given numbers has no common factors except 1. So, there LCM is their product i.e 122878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/122878
Therefore, the GCF of Fractions 614/917,572/134 is 2/122878
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 917,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,134) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,134) x common factors =1 x 1 = 1
LCM(917,134) = ( 917 × 134 ) / 1
LCM(917,134) = 122878 / 1
LCM(917,134) = 122878
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 614,572?
The HCF of 614,572 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 614/917, 572/134?
Answer: GCF of Numerators as per given numbers 614/917, 572/134 is
GCF of Numerators i.e. for 614,572 is 2
LCM of denominators i.e. for 917,134 is 122878.
Thus, GCF of Fractions is 2/122878.Finally, GCF of Fractions for 614/917, 572/134 is 2/122878.