Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 526/21,205/47,987/85
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 526,205,987
Greatest Common Factor of Numerators i.e. GCF of 526,205,987 is 1 .
LCM of Denominators means LCM of 21,47,85 as per the given fractions.
LCM of 21,47,85 is 83895 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 526,205,987
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Greatest Common Factor
We found the factors 526,205,987 . The biggest common factor number is the GCF number.
So the greatest common factor 526,205,987 is 1.
Lets's calculate LCM of 21,47,85
Given numbers has no common factors except 1. So, there LCM is their product i.e 83895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83895
Therefore, the GCF of Fractions 526/21,205/47,987/85 is 1/83895
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 21,47,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,47,85) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,47,85) x common factors =1 x 1 = 1
LCM(21,47,85) = ( 21 × 47 × 85 ) / 1
LCM(21,47,85) = 83895 / 1
LCM(21,47,85) = 83895
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 526/21, 205/47, 987/85?
Answer: GCF of Numerators as per given numbers 526/21, 205/47, 987/85 is
GCF of Numerators i.e. for 526,205,987 is 1
LCM of denominators i.e. for 21,47,85 is 83895.
Thus, GCF of Fractions is 1/83895.Finally, GCF of Fractions for 526/21, 205/47, 987/85 is 1/83895.