Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 416/201,5360/786
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 416,5360
Greatest Common Factor of Numerators i.e. GCF of 416,5360 is 16 .
LCM of Denominators means LCM of 201,786 as per the given fractions.
LCM of 201,786 is 52662 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 416,5360
2 | 416, 5360 |
2 | 208, 2680 |
2 | 104, 1340 |
2 | 52, 670 |
26, 335 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Factors of 5360
List of positive integer factors of 5360 that divides 5360 without a remainder.
1,2,4,5,8,10,16,20,40,67,80,134,268,335,536,670,1072,1340,2680,5360
Greatest Common Factor
We found the factors 416,5360 . The biggest common factor number is the GCF number.
So the greatest common factor 416,5360 is 16.
Lets's calculate LCM of 201,786
3 | 201, 786 |
67, 262 |
∴ So the LCM of the given numbers is 3 x 67 x 262 = 52662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/52662
Therefore, the GCF of Fractions 416/201,5360/786 is 16/52662
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 201,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,786) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(201,786) x common factors =3 x 1 = 3
LCM(201,786) = ( 201 × 786 ) / 3
LCM(201,786) = 157986 / 3
LCM(201,786) = 52662
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 416/201, 5360/786?
Answer: GCF of Numerators as per given numbers 416/201, 5360/786 is
GCF of Numerators i.e. for 416,5360 is 16
LCM of denominators i.e. for 201,786 is 52662.
Thus, GCF of Fractions is 16/52662.Finally, GCF of Fractions for 416/201, 5360/786 is 16/52662.