Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 744/483,774/512,495/167
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 744,774,495
Greatest Common Factor of Numerators i.e. GCF of 744,774,495 is 3 .
LCM of Denominators means LCM of 483,512,167 as per the given fractions.
LCM of 483,512,167 is 41298432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 744,774,495
3 | 744, 774, 495 |
248, 258, 165 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Greatest Common Factor
We found the factors 744,774,495 . The biggest common factor number is the GCF number.
So the greatest common factor 744,774,495 is 3.
Lets's calculate LCM of 483,512,167
Given numbers has no common factors except 1. So, there LCM is their product i.e 41298432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/41298432
Therefore, the GCF of Fractions 744/483,774/512,495/167 is 3/41298432
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 483,512,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,512,167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(483,512,167) x common factors =1 x 1 = 1
LCM(483,512,167) = ( 483 × 512 × 167 ) / 1
LCM(483,512,167) = 41298432 / 1
LCM(483,512,167) = 41298432
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 744/483, 774/512, 495/167?
Answer: GCF of Numerators as per given numbers 744/483, 774/512, 495/167 is
GCF of Numerators i.e. for 744,774,495 is 3
LCM of denominators i.e. for 483,512,167 is 41298432.
Thus, GCF of Fractions is 3/41298432.Finally, GCF of Fractions for 744/483, 774/512, 495/167 is 3/41298432.