Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 701/976,348/854,168/326
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 701,348,168
Greatest Common Factor of Numerators i.e. GCF of 701,348,168 is 1 .
LCM of Denominators means LCM of 976,854,326 as per the given fractions.
LCM of 976,854,326 is 1113616 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 701,348,168
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 701,348,168 . The biggest common factor number is the GCF number.
So the greatest common factor 701,348,168 is 1.
Lets's calculate LCM of 976,854,326
2 | 976, 854, 326 |
61 | 488, 427, 163 |
8, 7, 163 |
∴ So the LCM of the given numbers is 2 x 61 x 8 x 7 x 163 = 1113616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1113616
Therefore, the GCF of Fractions 701/976,348/854,168/326 is 1/1113616
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 976,854,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,854,326) = 2
common factors(in case of two or more numbers have common factors) = 122
GCF(976,854,326) x common factors =2 x 122 = 244
LCM(976,854,326) = ( 976 × 854 × 326 ) / 244
LCM(976,854,326) = 271722304 / 244
LCM(976,854,326) = 1113616
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 701/976, 348/854, 168/326?
Answer: GCF of Numerators as per given numbers 701/976, 348/854, 168/326 is
GCF of Numerators i.e. for 701,348,168 is 1
LCM of denominators i.e. for 976,854,326 is 1113616.
Thus, GCF of Fractions is 1/1113616.Finally, GCF of Fractions for 701/976, 348/854, 168/326 is 1/1113616.