Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/593,399/781,526/799
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 70,399,526
Greatest Common Factor of Numerators i.e. GCF of 70,399,526 is 1 .
LCM of Denominators means LCM of 593,781,799 as per the given fractions.
LCM of 593,781,799 is 370043267 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,399,526
∴ 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 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Greatest Common Factor
We found the factors 70,399,526 . The biggest common factor number is the GCF number.
So the greatest common factor 70,399,526 is 1.
Lets's calculate LCM of 593,781,799
Given numbers has no common factors except 1. So, there LCM is their product i.e 370043267
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/370043267
Therefore, the GCF of Fractions 70/593,399/781,526/799 is 1/370043267
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 593,781,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,781,799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,781,799) x common factors =1 x 1 = 1
LCM(593,781,799) = ( 593 × 781 × 799 ) / 1
LCM(593,781,799) = 370043267 / 1
LCM(593,781,799) = 370043267
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 70/593, 399/781, 526/799?
Answer: GCF of Numerators as per given numbers 70/593, 399/781, 526/799 is
GCF of Numerators i.e. for 70,399,526 is 1
LCM of denominators i.e. for 593,781,799 is 370043267.
Thus, GCF of Fractions is 1/370043267.Finally, GCF of Fractions for 70/593, 399/781, 526/799 is 1/370043267.