Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/127,150/766
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 72,150
Greatest Common Factor of Numerators i.e. GCF of 72,150 is 6 .
LCM of Denominators means LCM of 127,766 as per the given fractions.
LCM of 127,766 is 97282 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 72,150
2 | 72, 150 |
3 | 36, 75 |
12, 25 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 72,150 . The biggest common factor number is the GCF number.
So the greatest common factor 72,150 is 6.
Lets's calculate LCM of 127,766
Given numbers has no common factors except 1. So, there LCM is their product i.e 97282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/97282
Therefore, the GCF of Fractions 72/127,150/766 is 6/97282
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 127,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,766) x common factors =1 x 1 = 1
LCM(127,766) = ( 127 × 766 ) / 1
LCM(127,766) = 97282 / 1
LCM(127,766) = 97282
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 72/127, 150/766?
Answer: GCF of Numerators as per given numbers 72/127, 150/766 is
GCF of Numerators i.e. for 72,150 is 6
LCM of denominators i.e. for 127,766 is 97282.
Thus, GCF of Fractions is 6/97282.Finally, GCF of Fractions for 72/127, 150/766 is 6/97282.