Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 887/307,127/543,625/495
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 887,127,625
Greatest Common Factor of Numerators i.e. GCF of 887,127,625 is 1 .
LCM of Denominators means LCM of 307,543,495 as per the given fractions.
LCM of 307,543,495 is 27505665 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 887,127,625
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 887
List of positive integer factors of 887 that divides 887 without a remainder.
1,887
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1,127
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Greatest Common Factor
We found the factors 887,127,625 . The biggest common factor number is the GCF number.
So the greatest common factor 887,127,625 is 1.
Lets's calculate LCM of 307,543,495
3 | 307, 543, 495 |
307, 181, 165 |
∴ So the LCM of the given numbers is 3 x 307 x 181 x 165 = 27505665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27505665
Therefore, the GCF of Fractions 887/307,127/543,625/495 is 1/27505665
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 307,543,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,543,495) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(307,543,495) x common factors =1 x 3 = 3
LCM(307,543,495) = ( 307 × 543 × 495 ) / 3
LCM(307,543,495) = 82516995 / 3
LCM(307,543,495) = 27505665
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 887/307, 127/543, 625/495?
Answer: GCF of Numerators as per given numbers 887/307, 127/543, 625/495 is
GCF of Numerators i.e. for 887,127,625 is 1
LCM of denominators i.e. for 307,543,495 is 27505665.
Thus, GCF of Fractions is 1/27505665.Finally, GCF of Fractions for 887/307, 127/543, 625/495 is 1/27505665.