Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 679/57,620/74,745/606
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 679,620,745
Greatest Common Factor of Numerators i.e. GCF of 679,620,745 is 1 .
LCM of Denominators means LCM of 57,74,606 as per the given fractions.
LCM of 57,74,606 is 426018 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 679,620,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 679
List of positive integer factors of 679 that divides 679 without a remainder.
1,7,97,679
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Greatest Common Factor
We found the factors 679,620,745 . The biggest common factor number is the GCF number.
So the greatest common factor 679,620,745 is 1.
Lets's calculate LCM of 57,74,606
2 | 57, 74, 606 |
3 | 57, 37, 303 |
19, 37, 101 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 37 x 101 = 426018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/426018
Therefore, the GCF of Fractions 679/57,620/74,745/606 is 1/426018
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 57,74,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,74,606) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(57,74,606) x common factors =1 x 6 = 6
LCM(57,74,606) = ( 57 × 74 × 606 ) / 6
LCM(57,74,606) = 2556108 / 6
LCM(57,74,606) = 426018
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 679/57, 620/74, 745/606?
Answer: GCF of Numerators as per given numbers 679/57, 620/74, 745/606 is
GCF of Numerators i.e. for 679,620,745 is 1
LCM of denominators i.e. for 57,74,606 is 426018.
Thus, GCF of Fractions is 1/426018.Finally, GCF of Fractions for 679/57, 620/74, 745/606 is 1/426018.