Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/94,524/73,492/911
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 87,524,492
Greatest Common Factor of Numerators i.e. GCF of 87,524,492 is 1 .
LCM of Denominators means LCM of 94,73,911 as per the given fractions.
LCM of 94,73,911 is 6251282 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 87,524,492
∴ 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 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Greatest Common Factor
We found the factors 87,524,492 . The biggest common factor number is the GCF number.
So the greatest common factor 87,524,492 is 1.
Lets's calculate LCM of 94,73,911
Given numbers has no common factors except 1. So, there LCM is their product i.e 6251282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6251282
Therefore, the GCF of Fractions 87/94,524/73,492/911 is 1/6251282
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 94,73,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,73,911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,73,911) x common factors =1 x 1 = 1
LCM(94,73,911) = ( 94 × 73 × 911 ) / 1
LCM(94,73,911) = 6251282 / 1
LCM(94,73,911) = 6251282
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 87/94, 524/73, 492/911?
Answer: GCF of Numerators as per given numbers 87/94, 524/73, 492/911 is
GCF of Numerators i.e. for 87,524,492 is 1
LCM of denominators i.e. for 94,73,911 is 6251282.
Thus, GCF of Fractions is 1/6251282.Finally, GCF of Fractions for 87/94, 524/73, 492/911 is 1/6251282.