Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2775/593,1804/9813
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 2775,1804
Greatest Common Factor of Numerators i.e. GCF of 2775,1804 is 1 .
LCM of Denominators means LCM of 593,9813 as per the given fractions.
LCM of 593,9813 is 5819109 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2775,1804
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2775
List of positive integer factors of 2775 that divides 2775 without a remainder.
1,3,5,15,25,37,75,111,185,555,925,2775
Factors of 1804
List of positive integer factors of 1804 that divides 1804 without a remainder.
1,2,4,11,22,41,44,82,164,451,902,1804
Greatest Common Factor
We found the factors 2775,1804 . The biggest common factor number is the GCF number.
So the greatest common factor 2775,1804 is 1.
Lets's calculate LCM of 593,9813
Given numbers has no common factors except 1. So, there LCM is their product i.e 5819109
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5819109
Therefore, the GCF of Fractions 2775/593,1804/9813 is 1/5819109
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 593,9813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,9813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,9813) x common factors =1 x 1 = 1
LCM(593,9813) = ( 593 × 9813 ) / 1
LCM(593,9813) = 5819109 / 1
LCM(593,9813) = 5819109
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 2775/593, 1804/9813?
Answer: GCF of Numerators as per given numbers 2775/593, 1804/9813 is
GCF of Numerators i.e. for 2775,1804 is 1
LCM of denominators i.e. for 593,9813 is 5819109.
Thus, GCF of Fractions is 1/5819109.Finally, GCF of Fractions for 2775/593, 1804/9813 is 1/5819109.