Use our free GCF of Fractions Calculator tool to compute the GCF of 270/995, 732/774 i.e 6/770130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 270/995, 732/774.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 270/995,732/774
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 270/995,732/774, numerators are 270,732
Denominators are 995,774
The GCF of 270,732 is 6 .
LCM of 995,774 is 770130.
The greatest common factor of 270/995,732/774 = [GCF of 270,732]/[LCM of 995,774]= 6/770130
Therefore, the GCF of 270/995,732/774 is 6/770130.
To find the highest common factor of 270,732, we have to find the factors of both numbers and list the highest common factor.
The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
The HCF of 270,732 is 6.
Lets's calculate GCF of 270,732
2 | 270, 732 |
3 | 135, 366 |
45, 122 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 270
:1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Now, list down the factors of 732
:1,2,3,4,6,12,61,122,183,244,366,732
Greatest Common Factor
We found the factors 270,732 . The biggest common factor number is the GCF number.
So the greatest common factor 270,732 is 6.
Lets's calculate LCM of 995,774
Given numbers has no common factors except 1. So, there LCM is their product i.e 770130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/770130
Therefore, the GCF of Fractions 270/995,732/774 is 6/770130
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 995,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,774) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,774) x common factors =1 x 1 = 1
LCM(995,774) = ( 995 × 774 ) / 1
LCM(995,774) = 770130 / 1
LCM(995,774) = 770130
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 270,732?
The HCF of 270,732 is 6
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 270/995, 732/774?
Answer: GCF of Numerators as per given numbers 270/995, 732/774 is
GCF of Numerators i.e. for 270,732 is 6
LCM of denominators i.e. for 995,774 is 770130.
Thus, GCF of Fractions is 6/770130.Finally, GCF of Fractions for 270/995, 732/774 is 6/770130.