Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 820/74,784/34,528/404
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 820,784,528
Greatest Common Factor of Numerators i.e. GCF of 820,784,528 is 4 .
LCM of Denominators means LCM of 74,34,404 as per the given fractions.
LCM of 74,34,404 is 254116 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 820,784,528
2 | 820, 784, 528 |
2 | 410, 392, 264 |
205, 196, 132 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Greatest Common Factor
We found the factors 820,784,528 . The biggest common factor number is the GCF number.
So the greatest common factor 820,784,528 is 4.
Lets's calculate LCM of 74,34,404
2 | 74, 34, 404 |
37, 17, 202 |
∴ So the LCM of the given numbers is 2 x 37 x 17 x 202 = 254116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/254116
Therefore, the GCF of Fractions 820/74,784/34,528/404 is 4/254116
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 74,34,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,34,404) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(74,34,404) x common factors =2 x 2 = 4
LCM(74,34,404) = ( 74 × 34 × 404 ) / 4
LCM(74,34,404) = 1016464 / 4
LCM(74,34,404) = 254116
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 820/74, 784/34, 528/404?
Answer: GCF of Numerators as per given numbers 820/74, 784/34, 528/404 is
GCF of Numerators i.e. for 820,784,528 is 4
LCM of denominators i.e. for 74,34,404 is 254116.
Thus, GCF of Fractions is 4/254116.Finally, GCF of Fractions for 820/74, 784/34, 528/404 is 4/254116.