Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 940/11,7546/352
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 940,7546
Greatest Common Factor of Numerators i.e. GCF of 940,7546 is 2 .
LCM of Denominators means LCM of 11,352 as per the given fractions.
LCM of 11,352 is 352 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 940,7546
2 | 940, 7546 |
470, 3773 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Factors of 7546
List of positive integer factors of 7546 that divides 7546 without a remainder.
1,2,7,11,14,22,49,77,98,154,343,539,686,1078,3773,7546
Greatest Common Factor
We found the factors 940,7546 . The biggest common factor number is the GCF number.
So the greatest common factor 940,7546 is 2.
Lets's calculate LCM of 11,352
11 | 11, 352 |
1, 32 |
∴ So the LCM of the given numbers is 11 x 1 x 32 = 352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/352
Therefore, the GCF of Fractions 940/11,7546/352 is 2/352
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 11,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,352) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(11,352) x common factors =11 x 1 = 11
LCM(11,352) = ( 11 × 352 ) / 11
LCM(11,352) = 3872 / 11
LCM(11,352) = 352
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 940/11, 7546/352?
Answer: GCF of Numerators as per given numbers 940/11, 7546/352 is
GCF of Numerators i.e. for 940,7546 is 2
LCM of denominators i.e. for 11,352 is 352.
Thus, GCF of Fractions is 2/352.Finally, GCF of Fractions for 940/11, 7546/352 is 2/352.