Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 816/70,251/16,382/404
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 816,251,382
Greatest Common Factor of Numerators i.e. GCF of 816,251,382 is 1 .
LCM of Denominators means LCM of 70,16,404 as per the given fractions.
LCM of 70,16,404 is 56560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 816,251,382
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Factors of 251
List of positive integer factors of 251 that divides 251 without a remainder.
1,251
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Greatest Common Factor
We found the factors 816,251,382 . The biggest common factor number is the GCF number.
So the greatest common factor 816,251,382 is 1.
Lets's calculate LCM of 70,16,404
2 | 70, 16, 404 |
2 | 35, 8, 202 |
35, 4, 101 |
∴ So the LCM of the given numbers is 2 x 2 x 35 x 4 x 101 = 56560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56560
Therefore, the GCF of Fractions 816/70,251/16,382/404 is 1/56560
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 70,16,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,16,404) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(70,16,404) x common factors =2 x 4 = 8
LCM(70,16,404) = ( 70 × 16 × 404 ) / 8
LCM(70,16,404) = 452480 / 8
LCM(70,16,404) = 56560
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 816/70, 251/16, 382/404?
Answer: GCF of Numerators as per given numbers 816/70, 251/16, 382/404 is
GCF of Numerators i.e. for 816,251,382 is 1
LCM of denominators i.e. for 70,16,404 is 56560.
Thus, GCF of Fractions is 1/56560.Finally, GCF of Fractions for 816/70, 251/16, 382/404 is 1/56560.