Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/69,67/96,15/824,827/258
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 1,67,15,827
Greatest Common Factor of Numerators i.e. GCF of 1,67,15,827 is 1 .
LCM of Denominators means LCM of 69,96,824,258 as per the given fractions.
LCM of 69,96,824,258 is 9779232 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,67,15,827
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 827
List of positive integer factors of 827 that divides 827 without a remainder.
1,827
Greatest Common Factor
We found the factors 1,67,15,827 . The biggest common factor number is the GCF number.
So the greatest common factor 1,67,15,827 is 1.
Lets's calculate LCM of 69,96,824,258
2 | 69, 96, 824, 258 |
2 | 69, 48, 412, 129 |
2 | 69, 24, 206, 129 |
3 | 69, 12, 103, 129 |
23, 4, 103, 43 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 23 x 4 x 103 x 43 = 9779232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9779232
Therefore, the GCF of Fractions 1/69,67/96,15/824,827/258 is 1/9779232
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 69,96,824,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,96,824,258) = 1
common factors(in case of two or more numbers have common factors) = 144
GCF(69,96,824,258) x common factors =1 x 144 = 144
LCM(69,96,824,258) = ( 69 × 96 × 824 × 258 ) / 144
LCM(69,96,824,258) = 1408209408 / 144
LCM(69,96,824,258) = 9779232
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 1/69, 67/96, 15/824, 827/258?
Answer: GCF of Numerators as per given numbers 1/69, 67/96, 15/824, 827/258 is
GCF of Numerators i.e. for 1,67,15,827 is 1
LCM of denominators i.e. for 69,96,824,258 is 9779232.
Thus, GCF of Fractions is 1/9779232.Finally, GCF of Fractions for 1/69, 67/96, 15/824, 827/258 is 1/9779232.