Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7490/222,2958/473
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 7490,2958
Greatest Common Factor of Numerators i.e. GCF of 7490,2958 is 2 .
LCM of Denominators means LCM of 222,473 as per the given fractions.
LCM of 222,473 is 105006 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7490,2958
2 | 7490, 2958 |
3745, 1479 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7490
List of positive integer factors of 7490 that divides 7490 without a remainder.
1,2,5,7,10,14,35,70,107,214,535,749,1070,1498,3745,7490
Factors of 2958
List of positive integer factors of 2958 that divides 2958 without a remainder.
1,2,3,6,17,29,34,51,58,87,102,174,493,986,1479,2958
Greatest Common Factor
We found the factors 7490,2958 . The biggest common factor number is the GCF number.
So the greatest common factor 7490,2958 is 2.
Lets's calculate LCM of 222,473
Given numbers has no common factors except 1. So, there LCM is their product i.e 105006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/105006
Therefore, the GCF of Fractions 7490/222,2958/473 is 2/105006
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 222,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(222,473) x common factors =1 x 1 = 1
LCM(222,473) = ( 222 × 473 ) / 1
LCM(222,473) = 105006 / 1
LCM(222,473) = 105006
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 7490/222, 2958/473?
Answer: GCF of Numerators as per given numbers 7490/222, 2958/473 is
GCF of Numerators i.e. for 7490,2958 is 2
LCM of denominators i.e. for 222,473 is 105006.
Thus, GCF of Fractions is 2/105006.Finally, GCF of Fractions for 7490/222, 2958/473 is 2/105006.