Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 827/1328,547/1184
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 827,547
Greatest Common Factor of Numerators i.e. GCF of 827,547 is 1 .
LCM of Denominators means LCM of 1328,1184 as per the given fractions.
LCM of 1328,1184 is 98272 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 827,547
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 827
List of positive integer factors of 827 that divides 827 without a remainder.
1,827
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Greatest Common Factor
We found the factors 827,547 . The biggest common factor number is the GCF number.
So the greatest common factor 827,547 is 1.
Lets's calculate LCM of 1328,1184
2 | 1328, 1184 |
2 | 664, 592 |
2 | 332, 296 |
2 | 166, 148 |
83, 74 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 83 x 74 = 98272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98272
Therefore, the GCF of Fractions 827/1328,547/1184 is 1/98272
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 1328,1184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1328,1184) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(1328,1184) x common factors =16 x 1 = 16
LCM(1328,1184) = ( 1328 × 1184 ) / 16
LCM(1328,1184) = 1572352 / 16
LCM(1328,1184) = 98272
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 827/1328, 547/1184?
Answer: GCF of Numerators as per given numbers 827/1328, 547/1184 is
GCF of Numerators i.e. for 827,547 is 1
LCM of denominators i.e. for 1328,1184 is 98272.
Thus, GCF of Fractions is 1/98272.Finally, GCF of Fractions for 827/1328, 547/1184 is 1/98272.