Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 156/764,4719/7247
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 156,4719
Greatest Common Factor of Numerators i.e. GCF of 156,4719 is 39 .
LCM of Denominators means LCM of 764,7247 as per the given fractions.
LCM of 764,7247 is 5536708 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 156,4719
3 | 156, 4719 |
13 | 52, 1573 |
4, 121 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 4719
List of positive integer factors of 4719 that divides 4719 without a remainder.
1,3,11,13,33,39,121,143,363,429,1573,4719
Greatest Common Factor
We found the factors 156,4719 . The biggest common factor number is the GCF number.
So the greatest common factor 156,4719 is 39.
Lets's calculate LCM of 764,7247
Given numbers has no common factors except 1. So, there LCM is their product i.e 5536708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/5536708
Therefore, the GCF of Fractions 156/764,4719/7247 is 39/5536708
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 764,7247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,7247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,7247) x common factors =1 x 1 = 1
LCM(764,7247) = ( 764 × 7247 ) / 1
LCM(764,7247) = 5536708 / 1
LCM(764,7247) = 5536708
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 156/764, 4719/7247?
Answer: GCF of Numerators as per given numbers 156/764, 4719/7247 is
GCF of Numerators i.e. for 156,4719 is 39
LCM of denominators i.e. for 764,7247 is 5536708.
Thus, GCF of Fractions is 39/5536708.Finally, GCF of Fractions for 156/764, 4719/7247 is 39/5536708.