Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/57,53/43,97/86,656/72
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 72,53,97,656
Greatest Common Factor of Numerators i.e. GCF of 72,53,97,656 is 1 .
LCM of Denominators means LCM of 57,43,86,72 as per the given fractions.
LCM of 57,43,86,72 is 58824 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 72,53,97,656
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 72,53,97,656 . The biggest common factor number is the GCF number.
So the greatest common factor 72,53,97,656 is 1.
Lets's calculate LCM of 57,43,86,72
2 | 57, 43, 86, 72 |
3 | 57, 43, 43, 36 |
43 | 19, 43, 43, 12 |
19, 1, 1, 12 |
∴ So the LCM of the given numbers is 2 x 3 x 43 x 19 x 1 x 1 x 12 = 58824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58824
Therefore, the GCF of Fractions 72/57,53/43,97/86,656/72 is 1/58824
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 57,43,86,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,43,86,72) = 1
common factors(in case of two or more numbers have common factors) = 258
GCF(57,43,86,72) x common factors =1 x 258 = 258
LCM(57,43,86,72) = ( 57 × 43 × 86 × 72 ) / 258
LCM(57,43,86,72) = 15176592 / 258
LCM(57,43,86,72) = 58824
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 72/57, 53/43, 97/86, 656/72?
Answer: GCF of Numerators as per given numbers 72/57, 53/43, 97/86, 656/72 is
GCF of Numerators i.e. for 72,53,97,656 is 1
LCM of denominators i.e. for 57,43,86,72 is 58824.
Thus, GCF of Fractions is 1/58824.Finally, GCF of Fractions for 72/57, 53/43, 97/86, 656/72 is 1/58824.