Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 703/13,439/19,338/62
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 703,439,338
Greatest Common Factor of Numerators i.e. GCF of 703,439,338 is 1 .
LCM of Denominators means LCM of 13,19,62 as per the given fractions.
LCM of 13,19,62 is 15314 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 703,439,338
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Greatest Common Factor
We found the factors 703,439,338 . The biggest common factor number is the GCF number.
So the greatest common factor 703,439,338 is 1.
Lets's calculate LCM of 13,19,62
Given numbers has no common factors except 1. So, there LCM is their product i.e 15314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15314
Therefore, the GCF of Fractions 703/13,439/19,338/62 is 1/15314
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 13,19,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,19,62) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,19,62) x common factors =1 x 1 = 1
LCM(13,19,62) = ( 13 × 19 × 62 ) / 1
LCM(13,19,62) = 15314 / 1
LCM(13,19,62) = 15314
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 703/13, 439/19, 338/62?
Answer: GCF of Numerators as per given numbers 703/13, 439/19, 338/62 is
GCF of Numerators i.e. for 703,439,338 is 1
LCM of denominators i.e. for 13,19,62 is 15314.
Thus, GCF of Fractions is 1/15314.Finally, GCF of Fractions for 703/13, 439/19, 338/62 is 1/15314.