Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 154/21,622/80,292/83
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 154,622,292
Greatest Common Factor of Numerators i.e. GCF of 154,622,292 is 2 .
LCM of Denominators means LCM of 21,80,83 as per the given fractions.
LCM of 21,80,83 is 139440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 154,622,292
2 | 154, 622, 292 |
77, 311, 146 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 154,622,292 . The biggest common factor number is the GCF number.
So the greatest common factor 154,622,292 is 2.
Lets's calculate LCM of 21,80,83
Given numbers has no common factors except 1. So, there LCM is their product i.e 139440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/139440
Therefore, the GCF of Fractions 154/21,622/80,292/83 is 2/139440
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 21,80,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,80,83) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,80,83) x common factors =1 x 1 = 1
LCM(21,80,83) = ( 21 × 80 × 83 ) / 1
LCM(21,80,83) = 139440 / 1
LCM(21,80,83) = 139440
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 154/21, 622/80, 292/83?
Answer: GCF of Numerators as per given numbers 154/21, 622/80, 292/83 is
GCF of Numerators i.e. for 154,622,292 is 2
LCM of denominators i.e. for 21,80,83 is 139440.
Thus, GCF of Fractions is 2/139440.Finally, GCF of Fractions for 154/21, 622/80, 292/83 is 2/139440.