Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 745/31,957/90,175/36
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 745,957,175
Greatest Common Factor of Numerators i.e. GCF of 745,957,175 is 1 .
LCM of Denominators means LCM of 31,90,36 as per the given fractions.
LCM of 31,90,36 is 5580 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 745,957,175
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Greatest Common Factor
We found the factors 745,957,175 . The biggest common factor number is the GCF number.
So the greatest common factor 745,957,175 is 1.
Lets's calculate LCM of 31,90,36
2 | 31, 90, 36 |
3 | 31, 45, 18 |
3 | 31, 15, 6 |
31, 5, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 31 x 5 x 2 = 5580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5580
Therefore, the GCF of Fractions 745/31,957/90,175/36 is 1/5580
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 31,90,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,90,36) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(31,90,36) x common factors =1 x 18 = 18
LCM(31,90,36) = ( 31 × 90 × 36 ) / 18
LCM(31,90,36) = 100440 / 18
LCM(31,90,36) = 5580
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 745/31, 957/90, 175/36?
Answer: GCF of Numerators as per given numbers 745/31, 957/90, 175/36 is
GCF of Numerators i.e. for 745,957,175 is 1
LCM of denominators i.e. for 31,90,36 is 5580.
Thus, GCF of Fractions is 1/5580.Finally, GCF of Fractions for 745/31, 957/90, 175/36 is 1/5580.