Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/69,738/99,942/836
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 80,738,942
Greatest Common Factor of Numerators i.e. GCF of 80,738,942 is 2 .
LCM of Denominators means LCM of 69,99,836 as per the given fractions.
LCM of 69,99,836 is 173052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,738,942
2 | 80, 738, 942 |
40, 369, 471 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 80,738,942 . The biggest common factor number is the GCF number.
So the greatest common factor 80,738,942 is 2.
Lets's calculate LCM of 69,99,836
3 | 69, 99, 836 |
11 | 23, 33, 836 |
23, 3, 76 |
∴ So the LCM of the given numbers is 3 x 11 x 23 x 3 x 76 = 173052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/173052
Therefore, the GCF of Fractions 80/69,738/99,942/836 is 2/173052
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 69,99,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,99,836) = 1
common factors(in case of two or more numbers have common factors) = 33
GCF(69,99,836) x common factors =1 x 33 = 33
LCM(69,99,836) = ( 69 × 99 × 836 ) / 33
LCM(69,99,836) = 5710716 / 33
LCM(69,99,836) = 173052
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 80/69, 738/99, 942/836?
Answer: GCF of Numerators as per given numbers 80/69, 738/99, 942/836 is
GCF of Numerators i.e. for 80,738,942 is 2
LCM of denominators i.e. for 69,99,836 is 173052.
Thus, GCF of Fractions is 2/173052.Finally, GCF of Fractions for 80/69, 738/99, 942/836 is 2/173052.