Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/87,836/91,706/68
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 8,836,706
Greatest Common Factor of Numerators i.e. GCF of 8,836,706 is 2 .
LCM of Denominators means LCM of 87,91,68 as per the given fractions.
LCM of 87,91,68 is 538356 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,836,706
2 | 8, 836, 706 |
4, 418, 353 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Greatest Common Factor
We found the factors 8,836,706 . The biggest common factor number is the GCF number.
So the greatest common factor 8,836,706 is 2.
Lets's calculate LCM of 87,91,68
Given numbers has no common factors except 1. So, there LCM is their product i.e 538356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/538356
Therefore, the GCF of Fractions 8/87,836/91,706/68 is 2/538356
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 87,91,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,91,68) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,91,68) x common factors =1 x 1 = 1
LCM(87,91,68) = ( 87 × 91 × 68 ) / 1
LCM(87,91,68) = 538356 / 1
LCM(87,91,68) = 538356
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 8/87, 836/91, 706/68?
Answer: GCF of Numerators as per given numbers 8/87, 836/91, 706/68 is
GCF of Numerators i.e. for 8,836,706 is 2
LCM of denominators i.e. for 87,91,68 is 538356.
Thus, GCF of Fractions is 2/538356.Finally, GCF of Fractions for 8/87, 836/91, 706/68 is 2/538356.