Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 496/40,126/655
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 496,126
Greatest Common Factor of Numerators i.e. GCF of 496,126 is 2 .
LCM of Denominators means LCM of 40,655 as per the given fractions.
LCM of 40,655 is 5240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 496,126
2 | 496, 126 |
248, 63 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Greatest Common Factor
We found the factors 496,126 . The biggest common factor number is the GCF number.
So the greatest common factor 496,126 is 2.
Lets's calculate LCM of 40,655
5 | 40, 655 |
8, 131 |
∴ So the LCM of the given numbers is 5 x 8 x 131 = 5240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5240
Therefore, the GCF of Fractions 496/40,126/655 is 2/5240
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 40,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,655) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(40,655) x common factors =5 x 1 = 5
LCM(40,655) = ( 40 × 655 ) / 5
LCM(40,655) = 26200 / 5
LCM(40,655) = 5240
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 496/40, 126/655?
Answer: GCF of Numerators as per given numbers 496/40, 126/655 is
GCF of Numerators i.e. for 496,126 is 2
LCM of denominators i.e. for 40,655 is 5240.
Thus, GCF of Fractions is 2/5240.Finally, GCF of Fractions for 496/40, 126/655 is 2/5240.