Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7150/513,3948/9004
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 7150,3948
Greatest Common Factor of Numerators i.e. GCF of 7150,3948 is 2 .
LCM of Denominators means LCM of 513,9004 as per the given fractions.
LCM of 513,9004 is 4619052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7150,3948
2 | 7150, 3948 |
3575, 1974 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7150
List of positive integer factors of 7150 that divides 7150 without a remainder.
1,2,5,10,11,13,22,25,26,50,55,65,110,130,143,275,286,325,550,650,715,1430,3575,7150
Factors of 3948
List of positive integer factors of 3948 that divides 3948 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,47,84,94,141,188,282,329,564,658,987,1316,1974,3948
Greatest Common Factor
We found the factors 7150,3948 . The biggest common factor number is the GCF number.
So the greatest common factor 7150,3948 is 2.
Lets's calculate LCM of 513,9004
Given numbers has no common factors except 1. So, there LCM is their product i.e 4619052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4619052
Therefore, the GCF of Fractions 7150/513,3948/9004 is 2/4619052
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 513,9004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,9004) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(513,9004) x common factors =1 x 1 = 1
LCM(513,9004) = ( 513 × 9004 ) / 1
LCM(513,9004) = 4619052 / 1
LCM(513,9004) = 4619052
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 7150/513, 3948/9004?
Answer: GCF of Numerators as per given numbers 7150/513, 3948/9004 is
GCF of Numerators i.e. for 7150,3948 is 2
LCM of denominators i.e. for 513,9004 is 4619052.
Thus, GCF of Fractions is 2/4619052.Finally, GCF of Fractions for 7150/513, 3948/9004 is 2/4619052.