Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9968/977,4738/439
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 9968,4738
Greatest Common Factor of Numerators i.e. GCF of 9968,4738 is 2 .
LCM of Denominators means LCM of 977,439 as per the given fractions.
LCM of 977,439 is 428903 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9968,4738
2 | 9968, 4738 |
4984, 2369 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9968
List of positive integer factors of 9968 that divides 9968 without a remainder.
1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968
Factors of 4738
List of positive integer factors of 4738 that divides 4738 without a remainder.
1,2,23,46,103,206,2369,4738
Greatest Common Factor
We found the factors 9968,4738 . The biggest common factor number is the GCF number.
So the greatest common factor 9968,4738 is 2.
Lets's calculate LCM of 977,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 428903
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/428903
Therefore, the GCF of Fractions 9968/977,4738/439 is 2/428903
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 977,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,439) x common factors =1 x 1 = 1
LCM(977,439) = ( 977 × 439 ) / 1
LCM(977,439) = 428903 / 1
LCM(977,439) = 428903
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 9968/977, 4738/439?
Answer: GCF of Numerators as per given numbers 9968/977, 4738/439 is
GCF of Numerators i.e. for 9968,4738 is 2
LCM of denominators i.e. for 977,439 is 428903.
Thus, GCF of Fractions is 2/428903.Finally, GCF of Fractions for 9968/977, 4738/439 is 2/428903.