Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 59/938,78/851,595/997
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 59,78,595
Greatest Common Factor of Numerators i.e. GCF of 59,78,595 is 1 .
LCM of Denominators means LCM of 938,851,997 as per the given fractions.
LCM of 938,851,997 is 795843286 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 59,78,595
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Greatest Common Factor
We found the factors 59,78,595 . The biggest common factor number is the GCF number.
So the greatest common factor 59,78,595 is 1.
Lets's calculate LCM of 938,851,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 795843286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/795843286
Therefore, the GCF of Fractions 59/938,78/851,595/997 is 1/795843286
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 938,851,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,851,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(938,851,997) x common factors =1 x 1 = 1
LCM(938,851,997) = ( 938 × 851 × 997 ) / 1
LCM(938,851,997) = 795843286 / 1
LCM(938,851,997) = 795843286
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 59/938, 78/851, 595/997?
Answer: GCF of Numerators as per given numbers 59/938, 78/851, 595/997 is
GCF of Numerators i.e. for 59,78,595 is 1
LCM of denominators i.e. for 938,851,997 is 795843286.
Thus, GCF of Fractions is 1/795843286.Finally, GCF of Fractions for 59/938, 78/851, 595/997 is 1/795843286.