Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 470/193,7010/3052
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 470,7010
Greatest Common Factor of Numerators i.e. GCF of 470,7010 is 10 .
LCM of Denominators means LCM of 193,3052 as per the given fractions.
LCM of 193,3052 is 589036 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 470,7010
2 | 470, 7010 |
5 | 235, 3505 |
47, 701 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 470
List of positive integer factors of 470 that divides 470 without a remainder.
1,2,5,10,47,94,235,470
Factors of 7010
List of positive integer factors of 7010 that divides 7010 without a remainder.
1,2,5,10,701,1402,3505,7010
Greatest Common Factor
We found the factors 470,7010 . The biggest common factor number is the GCF number.
So the greatest common factor 470,7010 is 10.
Lets's calculate LCM of 193,3052
Given numbers has no common factors except 1. So, there LCM is their product i.e 589036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/589036
Therefore, the GCF of Fractions 470/193,7010/3052 is 10/589036
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 193,3052 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,3052) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(193,3052) x common factors =1 x 1 = 1
LCM(193,3052) = ( 193 × 3052 ) / 1
LCM(193,3052) = 589036 / 1
LCM(193,3052) = 589036
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 470/193, 7010/3052?
Answer: GCF of Numerators as per given numbers 470/193, 7010/3052 is
GCF of Numerators i.e. for 470,7010 is 10
LCM of denominators i.e. for 193,3052 is 589036.
Thus, GCF of Fractions is 10/589036.Finally, GCF of Fractions for 470/193, 7010/3052 is 10/589036.