Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/47,696/64,722/50
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 2,696,722
Greatest Common Factor of Numerators i.e. GCF of 2,696,722 is 2 .
LCM of Denominators means LCM of 47,64,50 as per the given fractions.
LCM of 47,64,50 is 75200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,696,722
2 | 2, 696, 722 |
1, 348, 361 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Greatest Common Factor
We found the factors 2,696,722 . The biggest common factor number is the GCF number.
So the greatest common factor 2,696,722 is 2.
Lets's calculate LCM of 47,64,50
2 | 47, 64, 50 |
47, 32, 25 |
∴ So the LCM of the given numbers is 2 x 47 x 32 x 25 = 75200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/75200
Therefore, the GCF of Fractions 2/47,696/64,722/50 is 2/75200
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 47,64,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,64,50) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(47,64,50) x common factors =1 x 2 = 2
LCM(47,64,50) = ( 47 × 64 × 50 ) / 2
LCM(47,64,50) = 150400 / 2
LCM(47,64,50) = 75200
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 2/47, 696/64, 722/50?
Answer: GCF of Numerators as per given numbers 2/47, 696/64, 722/50 is
GCF of Numerators i.e. for 2,696,722 is 2
LCM of denominators i.e. for 47,64,50 is 75200.
Thus, GCF of Fractions is 2/75200.Finally, GCF of Fractions for 2/47, 696/64, 722/50 is 2/75200.