Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/43,25/34,76/978,154/333
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 9,25,76,154
Greatest Common Factor of Numerators i.e. GCF of 9,25,76,154 is 1 .
LCM of Denominators means LCM of 43,34,978,333 as per the given fractions.
LCM of 43,34,978,333 is 79355898 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,25,76,154
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 9,25,76,154 . The biggest common factor number is the GCF number.
So the greatest common factor 9,25,76,154 is 1.
Lets's calculate LCM of 43,34,978,333
2 | 43, 34, 978, 333 |
3 | 43, 17, 489, 333 |
43, 17, 163, 111 |
∴ So the LCM of the given numbers is 2 x 3 x 43 x 17 x 163 x 111 = 79355898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79355898
Therefore, the GCF of Fractions 9/43,25/34,76/978,154/333 is 1/79355898
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 43,34,978,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,34,978,333) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(43,34,978,333) x common factors =1 x 6 = 6
LCM(43,34,978,333) = ( 43 × 34 × 978 × 333 ) / 6
LCM(43,34,978,333) = 476135388 / 6
LCM(43,34,978,333) = 79355898
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 9/43, 25/34, 76/978, 154/333?
Answer: GCF of Numerators as per given numbers 9/43, 25/34, 76/978, 154/333 is
GCF of Numerators i.e. for 9,25,76,154 is 1
LCM of denominators i.e. for 43,34,978,333 is 79355898.
Thus, GCF of Fractions is 1/79355898.Finally, GCF of Fractions for 9/43, 25/34, 76/978, 154/333 is 1/79355898.