Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/958,651/499,151/647
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 87,651,151
Greatest Common Factor of Numerators i.e. GCF of 87,651,151 is 1 .
LCM of Denominators means LCM of 958,499,647 as per the given fractions.
LCM of 958,499,647 is 309293174 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 87,651,151
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Greatest Common Factor
We found the factors 87,651,151 . The biggest common factor number is the GCF number.
So the greatest common factor 87,651,151 is 1.
Lets's calculate LCM of 958,499,647
Given numbers has no common factors except 1. So, there LCM is their product i.e 309293174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/309293174
Therefore, the GCF of Fractions 87/958,651/499,151/647 is 1/309293174
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 958,499,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,499,647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(958,499,647) x common factors =1 x 1 = 1
LCM(958,499,647) = ( 958 × 499 × 647 ) / 1
LCM(958,499,647) = 309293174 / 1
LCM(958,499,647) = 309293174
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 87/958, 651/499, 151/647?
Answer: GCF of Numerators as per given numbers 87/958, 651/499, 151/647 is
GCF of Numerators i.e. for 87,651,151 is 1
LCM of denominators i.e. for 958,499,647 is 309293174.
Thus, GCF of Fractions is 1/309293174.Finally, GCF of Fractions for 87/958, 651/499, 151/647 is 1/309293174.