Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6017/70,1492/797
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 6017,1492
Greatest Common Factor of Numerators i.e. GCF of 6017,1492 is 1 .
LCM of Denominators means LCM of 70,797 as per the given fractions.
LCM of 70,797 is 55790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6017,1492
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6017
List of positive integer factors of 6017 that divides 6017 without a remainder.
1,11,547,6017
Factors of 1492
List of positive integer factors of 1492 that divides 1492 without a remainder.
1,2,4,373,746,1492
Greatest Common Factor
We found the factors 6017,1492 . The biggest common factor number is the GCF number.
So the greatest common factor 6017,1492 is 1.
Lets's calculate LCM of 70,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 55790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55790
Therefore, the GCF of Fractions 6017/70,1492/797 is 1/55790
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 70,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,797) x common factors =1 x 1 = 1
LCM(70,797) = ( 70 × 797 ) / 1
LCM(70,797) = 55790 / 1
LCM(70,797) = 55790
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 6017/70, 1492/797?
Answer: GCF of Numerators as per given numbers 6017/70, 1492/797 is
GCF of Numerators i.e. for 6017,1492 is 1
LCM of denominators i.e. for 70,797 is 55790.
Thus, GCF of Fractions is 1/55790.Finally, GCF of Fractions for 6017/70, 1492/797 is 1/55790.