Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/74,491/61,210/824
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 86,491,210
Greatest Common Factor of Numerators i.e. GCF of 86,491,210 is 1 .
LCM of Denominators means LCM of 74,61,824 as per the given fractions.
LCM of 74,61,824 is 1859768 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 86,491,210
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 491
List of positive integer factors of 491 that divides 491 without a remainder.
1,491
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 86,491,210 . The biggest common factor number is the GCF number.
So the greatest common factor 86,491,210 is 1.
Lets's calculate LCM of 74,61,824
2 | 74, 61, 824 |
37, 61, 412 |
∴ So the LCM of the given numbers is 2 x 37 x 61 x 412 = 1859768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1859768
Therefore, the GCF of Fractions 86/74,491/61,210/824 is 1/1859768
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 74,61,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,61,824) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,61,824) x common factors =1 x 2 = 2
LCM(74,61,824) = ( 74 × 61 × 824 ) / 2
LCM(74,61,824) = 3719536 / 2
LCM(74,61,824) = 1859768
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 86/74, 491/61, 210/824?
Answer: GCF of Numerators as per given numbers 86/74, 491/61, 210/824 is
GCF of Numerators i.e. for 86,491,210 is 1
LCM of denominators i.e. for 74,61,824 is 1859768.
Thus, GCF of Fractions is 1/1859768.Finally, GCF of Fractions for 86/74, 491/61, 210/824 is 1/1859768.