Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/667,130/950,579/479
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 70,130,579
Greatest Common Factor of Numerators i.e. GCF of 70,130,579 is 1 .
LCM of Denominators means LCM of 667,950,479 as per the given fractions.
LCM of 667,950,479 is 303518350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,130,579
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Factors of 579
List of positive integer factors of 579 that divides 579 without a remainder.
1,3,193,579
Greatest Common Factor
We found the factors 70,130,579 . The biggest common factor number is the GCF number.
So the greatest common factor 70,130,579 is 1.
Lets's calculate LCM of 667,950,479
Given numbers has no common factors except 1. So, there LCM is their product i.e 303518350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/303518350
Therefore, the GCF of Fractions 70/667,130/950,579/479 is 1/303518350
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 667,950,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,950,479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,950,479) x common factors =1 x 1 = 1
LCM(667,950,479) = ( 667 × 950 × 479 ) / 1
LCM(667,950,479) = 303518350 / 1
LCM(667,950,479) = 303518350
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 70/667, 130/950, 579/479?
Answer: GCF of Numerators as per given numbers 70/667, 130/950, 579/479 is
GCF of Numerators i.e. for 70,130,579 is 1
LCM of denominators i.e. for 667,950,479 is 303518350.
Thus, GCF of Fractions is 1/303518350.Finally, GCF of Fractions for 70/667, 130/950, 579/479 is 1/303518350.