Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 425/35,2451/247
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 425,2451
Greatest Common Factor of Numerators i.e. GCF of 425,2451 is 1 .
LCM of Denominators means LCM of 35,247 as per the given fractions.
LCM of 35,247 is 8645 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 425,2451
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Factors of 2451
List of positive integer factors of 2451 that divides 2451 without a remainder.
1,3,19,43,57,129,817,2451
Greatest Common Factor
We found the factors 425,2451 . The biggest common factor number is the GCF number.
So the greatest common factor 425,2451 is 1.
Lets's calculate LCM of 35,247
Given numbers has no common factors except 1. So, there LCM is their product i.e 8645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8645
Therefore, the GCF of Fractions 425/35,2451/247 is 1/8645
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 35,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,247) x common factors =1 x 1 = 1
LCM(35,247) = ( 35 × 247 ) / 1
LCM(35,247) = 8645 / 1
LCM(35,247) = 8645
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 425/35, 2451/247?
Answer: GCF of Numerators as per given numbers 425/35, 2451/247 is
GCF of Numerators i.e. for 425,2451 is 1
LCM of denominators i.e. for 35,247 is 8645.
Thus, GCF of Fractions is 1/8645.Finally, GCF of Fractions for 425/35, 2451/247 is 1/8645.