Use our free GCF of Fractions Calculator tool to compute the GCF of 774/598, 501/648 i.e 3/193752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 774/598, 501/648.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 774/598,501/648
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 774/598,501/648, numerators are 774,501
Denominators are 598,648
The GCF of 774,501 is 3 .
LCM of 598,648 is 193752.
The greatest common factor of 774/598,501/648 = [GCF of 774,501]/[LCM of 598,648]= 3/193752
Therefore, the GCF of 774/598,501/648 is 3/193752.
To find the highest common factor of 774,501, we have to find the factors of both numbers and list the highest common factor.
The factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
The factors of 501 are 1, 3, 167, 501
The HCF of 774,501 is 3.
Lets's calculate GCF of 774,501
3 | 774, 501 |
258, 167 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 774
:1,2,3,6,9,18,43,86,129,258,387,774
Now, list down the factors of 501
:1,3,167,501
Greatest Common Factor
We found the factors 774,501 . The biggest common factor number is the GCF number.
So the greatest common factor 774,501 is 3.
Lets's calculate LCM of 598,648
2 | 598, 648 |
299, 324 |
∴ So the LCM of the given numbers is 2 x 299 x 324 = 193752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/193752
Therefore, the GCF of Fractions 774/598,501/648 is 3/193752
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 598,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,648) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,648) x common factors =2 x 1 = 2
LCM(598,648) = ( 598 × 648 ) / 2
LCM(598,648) = 387504 / 2
LCM(598,648) = 193752
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 774,501?
The HCF of 774,501 is 3
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 774/598, 501/648?
Answer: GCF of Numerators as per given numbers 774/598, 501/648 is
GCF of Numerators i.e. for 774,501 is 3
LCM of denominators i.e. for 598,648 is 193752.
Thus, GCF of Fractions is 3/193752.Finally, GCF of Fractions for 774/598, 501/648 is 3/193752.