Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 598/13,434/58,651/579
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 598,434,651
Greatest Common Factor of Numerators i.e. GCF of 598,434,651 is 1 .
LCM of Denominators means LCM of 13,58,579 as per the given fractions.
LCM of 13,58,579 is 436566 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 598,434,651
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Greatest Common Factor
We found the factors 598,434,651 . The biggest common factor number is the GCF number.
So the greatest common factor 598,434,651 is 1.
Lets's calculate LCM of 13,58,579
Given numbers has no common factors except 1. So, there LCM is their product i.e 436566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/436566
Therefore, the GCF of Fractions 598/13,434/58,651/579 is 1/436566
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 13,58,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,58,579) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,58,579) x common factors =1 x 1 = 1
LCM(13,58,579) = ( 13 × 58 × 579 ) / 1
LCM(13,58,579) = 436566 / 1
LCM(13,58,579) = 436566
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 598/13, 434/58, 651/579?
Answer: GCF of Numerators as per given numbers 598/13, 434/58, 651/579 is
GCF of Numerators i.e. for 598,434,651 is 1
LCM of denominators i.e. for 13,58,579 is 436566.
Thus, GCF of Fractions is 1/436566.Finally, GCF of Fractions for 598/13, 434/58, 651/579 is 1/436566.