Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5765/57,2780/701
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 5765,2780
Greatest Common Factor of Numerators i.e. GCF of 5765,2780 is 5 .
LCM of Denominators means LCM of 57,701 as per the given fractions.
LCM of 57,701 is 39957 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5765,2780
5 | 5765, 2780 |
1153, 556 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 5765
List of positive integer factors of 5765 that divides 5765 without a remainder.
1,5,1153,5765
Factors of 2780
List of positive integer factors of 2780 that divides 2780 without a remainder.
1,2,4,5,10,20,139,278,556,695,1390,2780
Greatest Common Factor
We found the factors 5765,2780 . The biggest common factor number is the GCF number.
So the greatest common factor 5765,2780 is 5.
Lets's calculate LCM of 57,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 39957
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/39957
Therefore, the GCF of Fractions 5765/57,2780/701 is 5/39957
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 57,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,701) x common factors =1 x 1 = 1
LCM(57,701) = ( 57 × 701 ) / 1
LCM(57,701) = 39957 / 1
LCM(57,701) = 39957
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 5765/57, 2780/701?
Answer: GCF of Numerators as per given numbers 5765/57, 2780/701 is
GCF of Numerators i.e. for 5765,2780 is 5
LCM of denominators i.e. for 57,701 is 39957.
Thus, GCF of Fractions is 5/39957.Finally, GCF of Fractions for 5765/57, 2780/701 is 5/39957.