Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 700/15,399/5743
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 700,399
Greatest Common Factor of Numerators i.e. GCF of 700,399 is 7 .
LCM of Denominators means LCM of 15,5743 as per the given fractions.
LCM of 15,5743 is 86145 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 700,399
7 | 700, 399 |
100, 57 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 700
List of positive integer factors of 700 that divides 700 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Greatest Common Factor
We found the factors 700,399 . The biggest common factor number is the GCF number.
So the greatest common factor 700,399 is 7.
Lets's calculate LCM of 15,5743
Given numbers has no common factors except 1. So, there LCM is their product i.e 86145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/86145
Therefore, the GCF of Fractions 700/15,399/5743 is 7/86145
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 15,5743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,5743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,5743) x common factors =1 x 1 = 1
LCM(15,5743) = ( 15 × 5743 ) / 1
LCM(15,5743) = 86145 / 1
LCM(15,5743) = 86145
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 700/15, 399/5743?
Answer: GCF of Numerators as per given numbers 700/15, 399/5743 is
GCF of Numerators i.e. for 700,399 is 7
LCM of denominators i.e. for 15,5743 is 86145.
Thus, GCF of Fractions is 7/86145.Finally, GCF of Fractions for 700/15, 399/5743 is 7/86145.