Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 294/87,962/89,793/92
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 294,962,793
Greatest Common Factor of Numerators i.e. GCF of 294,962,793 is 1 .
LCM of Denominators means LCM of 87,89,92 as per the given fractions.
LCM of 87,89,92 is 712356 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 294,962,793
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1,13,61,793
Greatest Common Factor
We found the factors 294,962,793 . The biggest common factor number is the GCF number.
So the greatest common factor 294,962,793 is 1.
Lets's calculate LCM of 87,89,92
Given numbers has no common factors except 1. So, there LCM is their product i.e 712356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/712356
Therefore, the GCF of Fractions 294/87,962/89,793/92 is 1/712356
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 87,89,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,89,92) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,89,92) x common factors =1 x 1 = 1
LCM(87,89,92) = ( 87 × 89 × 92 ) / 1
LCM(87,89,92) = 712356 / 1
LCM(87,89,92) = 712356
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 294/87, 962/89, 793/92?
Answer: GCF of Numerators as per given numbers 294/87, 962/89, 793/92 is
GCF of Numerators i.e. for 294,962,793 is 1
LCM of denominators i.e. for 87,89,92 is 712356.
Thus, GCF of Fractions is 1/712356.Finally, GCF of Fractions for 294/87, 962/89, 793/92 is 1/712356.