Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 877/49,440/34,761/627
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 877,440,761
Greatest Common Factor of Numerators i.e. GCF of 877,440,761 is 1 .
LCM of Denominators means LCM of 49,34,627 as per the given fractions.
LCM of 49,34,627 is 1044582 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 877,440,761
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 877
List of positive integer factors of 877 that divides 877 without a remainder.
1,877
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1,761
Greatest Common Factor
We found the factors 877,440,761 . The biggest common factor number is the GCF number.
So the greatest common factor 877,440,761 is 1.
Lets's calculate LCM of 49,34,627
Given numbers has no common factors except 1. So, there LCM is their product i.e 1044582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1044582
Therefore, the GCF of Fractions 877/49,440/34,761/627 is 1/1044582
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 49,34,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,34,627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,34,627) x common factors =1 x 1 = 1
LCM(49,34,627) = ( 49 × 34 × 627 ) / 1
LCM(49,34,627) = 1044582 / 1
LCM(49,34,627) = 1044582
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 877/49, 440/34, 761/627?
Answer: GCF of Numerators as per given numbers 877/49, 440/34, 761/627 is
GCF of Numerators i.e. for 877,440,761 is 1
LCM of denominators i.e. for 49,34,627 is 1044582.
Thus, GCF of Fractions is 1/1044582.Finally, GCF of Fractions for 877/49, 440/34, 761/627 is 1/1044582.