Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 784/738,983/474,154/340
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 784,983,154
Greatest Common Factor of Numerators i.e. GCF of 784,983,154 is 1 .
LCM of Denominators means LCM of 738,474,340 as per the given fractions.
LCM of 738,474,340 is 9911340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 784,983,154
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Factors of 983
List of positive integer factors of 983 that divides 983 without a remainder.
1,983
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 784,983,154 . The biggest common factor number is the GCF number.
So the greatest common factor 784,983,154 is 1.
Lets's calculate LCM of 738,474,340
2 | 738, 474, 340 |
3 | 369, 237, 170 |
123, 79, 170 |
∴ So the LCM of the given numbers is 2 x 3 x 123 x 79 x 170 = 9911340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9911340
Therefore, the GCF of Fractions 784/738,983/474,154/340 is 1/9911340
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 738,474,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,474,340) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(738,474,340) x common factors =2 x 6 = 12
LCM(738,474,340) = ( 738 × 474 × 340 ) / 12
LCM(738,474,340) = 118936080 / 12
LCM(738,474,340) = 9911340
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 784/738, 983/474, 154/340?
Answer: GCF of Numerators as per given numbers 784/738, 983/474, 154/340 is
GCF of Numerators i.e. for 784,983,154 is 1
LCM of denominators i.e. for 738,474,340 is 9911340.
Thus, GCF of Fractions is 1/9911340.Finally, GCF of Fractions for 784/738, 983/474, 154/340 is 1/9911340.