Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 558/53,270/20,386/679
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 558,270,386
Greatest Common Factor of Numerators i.e. GCF of 558,270,386 is 2 .
LCM of Denominators means LCM of 53,20,679 as per the given fractions.
LCM of 53,20,679 is 719740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 558,270,386
2 | 558, 270, 386 |
279, 135, 193 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Greatest Common Factor
We found the factors 558,270,386 . The biggest common factor number is the GCF number.
So the greatest common factor 558,270,386 is 2.
Lets's calculate LCM of 53,20,679
Given numbers has no common factors except 1. So, there LCM is their product i.e 719740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/719740
Therefore, the GCF of Fractions 558/53,270/20,386/679 is 2/719740
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 53,20,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,20,679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,20,679) x common factors =1 x 1 = 1
LCM(53,20,679) = ( 53 × 20 × 679 ) / 1
LCM(53,20,679) = 719740 / 1
LCM(53,20,679) = 719740
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 558/53, 270/20, 386/679?
Answer: GCF of Numerators as per given numbers 558/53, 270/20, 386/679 is
GCF of Numerators i.e. for 558,270,386 is 2
LCM of denominators i.e. for 53,20,679 is 719740.
Thus, GCF of Fractions is 2/719740.Finally, GCF of Fractions for 558/53, 270/20, 386/679 is 2/719740.