Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 553/38,719/54,445/643
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 553,719,445
Greatest Common Factor of Numerators i.e. GCF of 553,719,445 is 1 .
LCM of Denominators means LCM of 38,54,643 as per the given fractions.
LCM of 38,54,643 is 659718 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 553,719,445
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 553
List of positive integer factors of 553 that divides 553 without a remainder.
1,7,79,553
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Greatest Common Factor
We found the factors 553,719,445 . The biggest common factor number is the GCF number.
So the greatest common factor 553,719,445 is 1.
Lets's calculate LCM of 38,54,643
2 | 38, 54, 643 |
19, 27, 643 |
∴ So the LCM of the given numbers is 2 x 19 x 27 x 643 = 659718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/659718
Therefore, the GCF of Fractions 553/38,719/54,445/643 is 1/659718
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 38,54,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,54,643) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(38,54,643) x common factors =1 x 2 = 2
LCM(38,54,643) = ( 38 × 54 × 643 ) / 2
LCM(38,54,643) = 1319436 / 2
LCM(38,54,643) = 659718
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 553/38, 719/54, 445/643?
Answer: GCF of Numerators as per given numbers 553/38, 719/54, 445/643 is
GCF of Numerators i.e. for 553,719,445 is 1
LCM of denominators i.e. for 38,54,643 is 659718.
Thus, GCF of Fractions is 1/659718.Finally, GCF of Fractions for 553/38, 719/54, 445/643 is 1/659718.