Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6912/66,9258/961
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 6912,9258
Greatest Common Factor of Numerators i.e. GCF of 6912,9258 is 6 .
LCM of Denominators means LCM of 66,961 as per the given fractions.
LCM of 66,961 is 63426 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6912,9258
2 | 6912, 9258 |
3 | 3456, 4629 |
1152, 1543 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 6912
List of positive integer factors of 6912 that divides 6912 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,256,288,384,432,576,768,864,1152,1728,2304,3456,6912
Factors of 9258
List of positive integer factors of 9258 that divides 9258 without a remainder.
1,2,3,6,1543,3086,4629,9258
Greatest Common Factor
We found the factors 6912,9258 . The biggest common factor number is the GCF number.
So the greatest common factor 6912,9258 is 6.
Lets's calculate LCM of 66,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 63426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/63426
Therefore, the GCF of Fractions 6912/66,9258/961 is 6/63426
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 66,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(66,961) x common factors =1 x 1 = 1
LCM(66,961) = ( 66 × 961 ) / 1
LCM(66,961) = 63426 / 1
LCM(66,961) = 63426
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 6912/66, 9258/961?
Answer: GCF of Numerators as per given numbers 6912/66, 9258/961 is
GCF of Numerators i.e. for 6912,9258 is 6
LCM of denominators i.e. for 66,961 is 63426.
Thus, GCF of Fractions is 6/63426.Finally, GCF of Fractions for 6912/66, 9258/961 is 6/63426.