Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 972/77,477/15,725/614
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 972,477,725
Greatest Common Factor of Numerators i.e. GCF of 972,477,725 is 1 .
LCM of Denominators means LCM of 77,15,614 as per the given fractions.
LCM of 77,15,614 is 709170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 972,477,725
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1,5,25,29,145,725
Greatest Common Factor
We found the factors 972,477,725 . The biggest common factor number is the GCF number.
So the greatest common factor 972,477,725 is 1.
Lets's calculate LCM of 77,15,614
Given numbers has no common factors except 1. So, there LCM is their product i.e 709170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/709170
Therefore, the GCF of Fractions 972/77,477/15,725/614 is 1/709170
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 77,15,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,15,614) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,15,614) x common factors =1 x 1 = 1
LCM(77,15,614) = ( 77 × 15 × 614 ) / 1
LCM(77,15,614) = 709170 / 1
LCM(77,15,614) = 709170
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 972/77, 477/15, 725/614?
Answer: GCF of Numerators as per given numbers 972/77, 477/15, 725/614 is
GCF of Numerators i.e. for 972,477,725 is 1
LCM of denominators i.e. for 77,15,614 is 709170.
Thus, GCF of Fractions is 1/709170.Finally, GCF of Fractions for 972/77, 477/15, 725/614 is 1/709170.