Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1562/304,3136/5957
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 1562,3136
Greatest Common Factor of Numerators i.e. GCF of 1562,3136 is 2 .
LCM of Denominators means LCM of 304,5957 as per the given fractions.
LCM of 304,5957 is 1810928 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1562,3136
2 | 1562, 3136 |
781, 1568 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1562
List of positive integer factors of 1562 that divides 1562 without a remainder.
1,2,11,22,71,142,781,1562
Factors of 3136
List of positive integer factors of 3136 that divides 3136 without a remainder.
1,2,4,7,8,14,16,28,32,49,56,64,98,112,196,224,392,448,784,1568,3136
Greatest Common Factor
We found the factors 1562,3136 . The biggest common factor number is the GCF number.
So the greatest common factor 1562,3136 is 2.
Lets's calculate LCM of 304,5957
Given numbers has no common factors except 1. So, there LCM is their product i.e 1810928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1810928
Therefore, the GCF of Fractions 1562/304,3136/5957 is 2/1810928
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 304,5957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,5957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(304,5957) x common factors =1 x 1 = 1
LCM(304,5957) = ( 304 × 5957 ) / 1
LCM(304,5957) = 1810928 / 1
LCM(304,5957) = 1810928
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 1562/304, 3136/5957?
Answer: GCF of Numerators as per given numbers 1562/304, 3136/5957 is
GCF of Numerators i.e. for 1562,3136 is 2
LCM of denominators i.e. for 304,5957 is 1810928.
Thus, GCF of Fractions is 2/1810928.Finally, GCF of Fractions for 1562/304, 3136/5957 is 2/1810928.