Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7580/11,9858/340
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 7580,9858
Greatest Common Factor of Numerators i.e. GCF of 7580,9858 is 2 .
LCM of Denominators means LCM of 11,340 as per the given fractions.
LCM of 11,340 is 3740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7580,9858
2 | 7580, 9858 |
3790, 4929 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7580
List of positive integer factors of 7580 that divides 7580 without a remainder.
1,2,4,5,10,20,379,758,1516,1895,3790,7580
Factors of 9858
List of positive integer factors of 9858 that divides 9858 without a remainder.
1,2,3,6,31,53,62,93,106,159,186,318,1643,3286,4929,9858
Greatest Common Factor
We found the factors 7580,9858 . The biggest common factor number is the GCF number.
So the greatest common factor 7580,9858 is 2.
Lets's calculate LCM of 11,340
Given numbers has no common factors except 1. So, there LCM is their product i.e 3740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3740
Therefore, the GCF of Fractions 7580/11,9858/340 is 2/3740
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 11,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,340) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,340) x common factors =1 x 1 = 1
LCM(11,340) = ( 11 × 340 ) / 1
LCM(11,340) = 3740 / 1
LCM(11,340) = 3740
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 7580/11, 9858/340?
Answer: GCF of Numerators as per given numbers 7580/11, 9858/340 is
GCF of Numerators i.e. for 7580,9858 is 2
LCM of denominators i.e. for 11,340 is 3740.
Thus, GCF of Fractions is 2/3740.Finally, GCF of Fractions for 7580/11, 9858/340 is 2/3740.