Use our free GCF of Fractions Calculator tool to compute the GCF of 744/492, 508/995 i.e 4/489540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 744/492, 508/995.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 744/492,508/995
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 744/492,508/995, numerators are 744,508
Denominators are 492,995
The GCF of 744,508 is 4 .
LCM of 492,995 is 489540.
The greatest common factor of 744/492,508/995 = [GCF of 744,508]/[LCM of 492,995]= 4/489540
Therefore, the GCF of 744/492,508/995 is 4/489540.
To find the highest common factor of 744,508, we have to find the factors of both numbers and list the highest common factor.
The factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
The factors of 508 are 1, 2, 4, 127, 254, 508
The HCF of 744,508 is 4.
Lets's calculate GCF of 744,508
2 | 744, 508 |
2 | 372, 254 |
186, 127 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 744
:1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Now, list down the factors of 508
:1,2,4,127,254,508
Greatest Common Factor
We found the factors 744,508 . The biggest common factor number is the GCF number.
So the greatest common factor 744,508 is 4.
Lets's calculate LCM of 492,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 489540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/489540
Therefore, the GCF of Fractions 744/492,508/995 is 4/489540
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 492,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(492,995) x common factors =1 x 1 = 1
LCM(492,995) = ( 492 × 995 ) / 1
LCM(492,995) = 489540 / 1
LCM(492,995) = 489540
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 744,508?
The HCF of 744,508 is 4
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 744/492, 508/995?
Answer: GCF of Numerators as per given numbers 744/492, 508/995 is
GCF of Numerators i.e. for 744,508 is 4
LCM of denominators i.e. for 492,995 is 489540.
Thus, GCF of Fractions is 4/489540.Finally, GCF of Fractions for 744/492, 508/995 is 4/489540.