Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1757/997,2643/2980
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 1757,2643
Greatest Common Factor of Numerators i.e. GCF of 1757,2643 is 1 .
LCM of Denominators means LCM of 997,2980 as per the given fractions.
LCM of 997,2980 is 2971060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1757,2643
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1757
List of positive integer factors of 1757 that divides 1757 without a remainder.
1,7,251,1757
Factors of 2643
List of positive integer factors of 2643 that divides 2643 without a remainder.
1,3,881,2643
Greatest Common Factor
We found the factors 1757,2643 . The biggest common factor number is the GCF number.
So the greatest common factor 1757,2643 is 1.
Lets's calculate LCM of 997,2980
Given numbers has no common factors except 1. So, there LCM is their product i.e 2971060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2971060
Therefore, the GCF of Fractions 1757/997,2643/2980 is 1/2971060
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 997,2980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,2980) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,2980) x common factors =1 x 1 = 1
LCM(997,2980) = ( 997 × 2980 ) / 1
LCM(997,2980) = 2971060 / 1
LCM(997,2980) = 2971060
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 1757/997, 2643/2980?
Answer: GCF of Numerators as per given numbers 1757/997, 2643/2980 is
GCF of Numerators i.e. for 1757,2643 is 1
LCM of denominators i.e. for 997,2980 is 2971060.
Thus, GCF of Fractions is 1/2971060.Finally, GCF of Fractions for 1757/997, 2643/2980 is 1/2971060.