Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 57/77,65/78,947/985
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 57,65,947
Greatest Common Factor of Numerators i.e. GCF of 57,65,947 is 1 .
LCM of Denominators means LCM of 77,78,985 as per the given fractions.
LCM of 77,78,985 is 5915910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 57,65,947
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Greatest Common Factor
We found the factors 57,65,947 . The biggest common factor number is the GCF number.
So the greatest common factor 57,65,947 is 1.
Lets's calculate LCM of 77,78,985
Given numbers has no common factors except 1. So, there LCM is their product i.e 5915910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5915910
Therefore, the GCF of Fractions 57/77,65/78,947/985 is 1/5915910
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 77,78,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,78,985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,78,985) x common factors =1 x 1 = 1
LCM(77,78,985) = ( 77 × 78 × 985 ) / 1
LCM(77,78,985) = 5915910 / 1
LCM(77,78,985) = 5915910
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 57/77, 65/78, 947/985?
Answer: GCF of Numerators as per given numbers 57/77, 65/78, 947/985 is
GCF of Numerators i.e. for 57,65,947 is 1
LCM of denominators i.e. for 77,78,985 is 5915910.
Thus, GCF of Fractions is 1/5915910.Finally, GCF of Fractions for 57/77, 65/78, 947/985 is 1/5915910.