Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7474/350,1258/9510
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 7474,1258
Greatest Common Factor of Numerators i.e. GCF of 7474,1258 is 74 .
LCM of Denominators means LCM of 350,9510 as per the given fractions.
LCM of 350,9510 is 332850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7474,1258
2 | 7474, 1258 |
37 | 3737, 629 |
101, 17 |
∴ So the GCF of the given numbers is 2 x 37 = 74
Factors of 7474
List of positive integer factors of 7474 that divides 7474 without a remainder.
1,2,37,74,101,202,3737,7474
Factors of 1258
List of positive integer factors of 1258 that divides 1258 without a remainder.
1,2,17,34,37,74,629,1258
Greatest Common Factor
We found the factors 7474,1258 . The biggest common factor number is the GCF number.
So the greatest common factor 7474,1258 is 74.
Lets's calculate LCM of 350,9510
2 | 350, 9510 |
5 | 175, 4755 |
35, 951 |
∴ So the LCM of the given numbers is 2 x 5 x 35 x 951 = 332850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 74/332850
Therefore, the GCF of Fractions 7474/350,1258/9510 is 74/332850
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 350,9510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,9510) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(350,9510) x common factors =10 x 1 = 10
LCM(350,9510) = ( 350 × 9510 ) / 10
LCM(350,9510) = 3328500 / 10
LCM(350,9510) = 332850
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 7474/350, 1258/9510?
Answer: GCF of Numerators as per given numbers 7474/350, 1258/9510 is
GCF of Numerators i.e. for 7474,1258 is 74
LCM of denominators i.e. for 350,9510 is 332850.
Thus, GCF of Fractions is 74/332850.Finally, GCF of Fractions for 7474/350, 1258/9510 is 74/332850.