Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 925/911,9706/970
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 925,9706
Greatest Common Factor of Numerators i.e. GCF of 925,9706 is 1 .
LCM of Denominators means LCM of 911,970 as per the given fractions.
LCM of 911,970 is 883670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 925,9706
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Factors of 9706
List of positive integer factors of 9706 that divides 9706 without a remainder.
1,2,23,46,211,422,4853,9706
Greatest Common Factor
We found the factors 925,9706 . The biggest common factor number is the GCF number.
So the greatest common factor 925,9706 is 1.
Lets's calculate LCM of 911,970
Given numbers has no common factors except 1. So, there LCM is their product i.e 883670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/883670
Therefore, the GCF of Fractions 925/911,9706/970 is 1/883670
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 911,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,970) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(911,970) x common factors =1 x 1 = 1
LCM(911,970) = ( 911 × 970 ) / 1
LCM(911,970) = 883670 / 1
LCM(911,970) = 883670
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 925/911, 9706/970?
Answer: GCF of Numerators as per given numbers 925/911, 9706/970 is
GCF of Numerators i.e. for 925,9706 is 1
LCM of denominators i.e. for 911,970 is 883670.
Thus, GCF of Fractions is 1/883670.Finally, GCF of Fractions for 925/911, 9706/970 is 1/883670.