Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 761/368,277/595,965/813
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 761,277,965
Greatest Common Factor of Numerators i.e. GCF of 761,277,965 is 1 .
LCM of Denominators means LCM of 368,595,813 as per the given fractions.
LCM of 368,595,813 is 178014480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 761,277,965
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1,761
Factors of 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Greatest Common Factor
We found the factors 761,277,965 . The biggest common factor number is the GCF number.
So the greatest common factor 761,277,965 is 1.
Lets's calculate LCM of 368,595,813
Given numbers has no common factors except 1. So, there LCM is their product i.e 178014480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178014480
Therefore, the GCF of Fractions 761/368,277/595,965/813 is 1/178014480
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 368,595,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,595,813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(368,595,813) x common factors =1 x 1 = 1
LCM(368,595,813) = ( 368 × 595 × 813 ) / 1
LCM(368,595,813) = 178014480 / 1
LCM(368,595,813) = 178014480
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 761/368, 277/595, 965/813?
Answer: GCF of Numerators as per given numbers 761/368, 277/595, 965/813 is
GCF of Numerators i.e. for 761,277,965 is 1
LCM of denominators i.e. for 368,595,813 is 178014480.
Thus, GCF of Fractions is 1/178014480.Finally, GCF of Fractions for 761/368, 277/595, 965/813 is 1/178014480.