Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 545/830,281/356,147/581
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 545,281,147
Greatest Common Factor of Numerators i.e. GCF of 545,281,147 is 1 .
LCM of Denominators means LCM of 830,356,581 as per the given fractions.
LCM of 830,356,581 is 1034180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 545,281,147
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 281
List of positive integer factors of 281 that divides 281 without a remainder.
1,281
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Greatest Common Factor
We found the factors 545,281,147 . The biggest common factor number is the GCF number.
So the greatest common factor 545,281,147 is 1.
Lets's calculate LCM of 830,356,581
2 | 830, 356, 581 |
83 | 415, 178, 581 |
5, 178, 7 |
∴ So the LCM of the given numbers is 2 x 83 x 5 x 178 x 7 = 1034180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1034180
Therefore, the GCF of Fractions 545/830,281/356,147/581 is 1/1034180
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 830,356,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,356,581) = 1
common factors(in case of two or more numbers have common factors) = 166
GCF(830,356,581) x common factors =1 x 166 = 166
LCM(830,356,581) = ( 830 × 356 × 581 ) / 166
LCM(830,356,581) = 171673880 / 166
LCM(830,356,581) = 1034180
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 545/830, 281/356, 147/581?
Answer: GCF of Numerators as per given numbers 545/830, 281/356, 147/581 is
GCF of Numerators i.e. for 545,281,147 is 1
LCM of denominators i.e. for 830,356,581 is 1034180.
Thus, GCF of Fractions is 1/1034180.Finally, GCF of Fractions for 545/830, 281/356, 147/581 is 1/1034180.