Use our free GCF of Fractions Calculator tool to compute the GCF of 742/534, 622/633 i.e 2/112674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 742/534, 622/633.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 742/534,622/633
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 742/534,622/633, numerators are 742,622
Denominators are 534,633
The GCF of 742,622 is 2 .
LCM of 534,633 is 112674.
The greatest common factor of 742/534,622/633 = [GCF of 742,622]/[LCM of 534,633]= 2/112674
Therefore, the GCF of 742/534,622/633 is 2/112674.
To find the highest common factor of 742,622, we have to find the factors of both numbers and list the highest common factor.
The factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742
The factors of 622 are 1, 2, 311, 622
The HCF of 742,622 is 2.
Lets's calculate GCF of 742,622
2 | 742, 622 |
371, 311 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 742
:1,2,7,14,53,106,371,742
Now, list down the factors of 622
:1,2,311,622
Greatest Common Factor
We found the factors 742,622 . The biggest common factor number is the GCF number.
So the greatest common factor 742,622 is 2.
Lets's calculate LCM of 534,633
3 | 534, 633 |
178, 211 |
∴ So the LCM of the given numbers is 3 x 178 x 211 = 112674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/112674
Therefore, the GCF of Fractions 742/534,622/633 is 2/112674
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 534,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,633) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(534,633) x common factors =3 x 1 = 3
LCM(534,633) = ( 534 × 633 ) / 3
LCM(534,633) = 338022 / 3
LCM(534,633) = 112674
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 742,622?
The HCF of 742,622 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 742/534, 622/633?
Answer: GCF of Numerators as per given numbers 742/534, 622/633 is
GCF of Numerators i.e. for 742,622 is 2
LCM of denominators i.e. for 534,633 is 112674.
Thus, GCF of Fractions is 2/112674.Finally, GCF of Fractions for 742/534, 622/633 is 2/112674.