Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6199/529,7470/6007
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 6199,7470
Greatest Common Factor of Numerators i.e. GCF of 6199,7470 is 1 .
LCM of Denominators means LCM of 529,6007 as per the given fractions.
LCM of 529,6007 is 3177703 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6199,7470
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6199
List of positive integer factors of 6199 that divides 6199 without a remainder.
1,6199
Factors of 7470
List of positive integer factors of 7470 that divides 7470 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,83,90,166,249,415,498,747,830,1245,1494,2490,3735,7470
Greatest Common Factor
We found the factors 6199,7470 . The biggest common factor number is the GCF number.
So the greatest common factor 6199,7470 is 1.
Lets's calculate LCM of 529,6007
Given numbers has no common factors except 1. So, there LCM is their product i.e 3177703
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3177703
Therefore, the GCF of Fractions 6199/529,7470/6007 is 1/3177703
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 529,6007 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,6007) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,6007) x common factors =1 x 1 = 1
LCM(529,6007) = ( 529 × 6007 ) / 1
LCM(529,6007) = 3177703 / 1
LCM(529,6007) = 3177703
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 6199/529, 7470/6007?
Answer: GCF of Numerators as per given numbers 6199/529, 7470/6007 is
GCF of Numerators i.e. for 6199,7470 is 1
LCM of denominators i.e. for 529,6007 is 3177703.
Thus, GCF of Fractions is 1/3177703.Finally, GCF of Fractions for 6199/529, 7470/6007 is 1/3177703.