Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/772,9436/8108
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 49,9436
Greatest Common Factor of Numerators i.e. GCF of 49,9436 is 7 .
LCM of Denominators means LCM of 772,8108 as per the given fractions.
LCM of 772,8108 is 1564844 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 49,9436
7 | 49, 9436 |
7, 1348 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 9436
List of positive integer factors of 9436 that divides 9436 without a remainder.
1,2,4,7,14,28,337,674,1348,2359,4718,9436
Greatest Common Factor
We found the factors 49,9436 . The biggest common factor number is the GCF number.
So the greatest common factor 49,9436 is 7.
Lets's calculate LCM of 772,8108
2 | 772, 8108 |
2 | 386, 4054 |
193, 2027 |
∴ So the LCM of the given numbers is 2 x 2 x 193 x 2027 = 1564844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1564844
Therefore, the GCF of Fractions 49/772,9436/8108 is 7/1564844
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 772,8108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,8108) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(772,8108) x common factors =4 x 1 = 4
LCM(772,8108) = ( 772 × 8108 ) / 4
LCM(772,8108) = 6259376 / 4
LCM(772,8108) = 1564844
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 49/772, 9436/8108?
Answer: GCF of Numerators as per given numbers 49/772, 9436/8108 is
GCF of Numerators i.e. for 49,9436 is 7
LCM of denominators i.e. for 772,8108 is 1564844.
Thus, GCF of Fractions is 7/1564844.Finally, GCF of Fractions for 49/772, 9436/8108 is 7/1564844.