Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/42,25/61,33/441,834/318
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 2,25,33,834
Greatest Common Factor of Numerators i.e. GCF of 2,25,33,834 is 1 .
LCM of Denominators means LCM of 42,61,441,318 as per the given fractions.
LCM of 42,61,441,318 is 2851506 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,25,33,834
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Greatest Common Factor
We found the factors 2,25,33,834 . The biggest common factor number is the GCF number.
So the greatest common factor 2,25,33,834 is 1.
Lets's calculate LCM of 42,61,441,318
2 | 42, 61, 441, 318 |
3 | 21, 61, 441, 159 |
7 | 7, 61, 147, 53 |
1, 61, 21, 53 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 61 x 21 x 53 = 2851506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2851506
Therefore, the GCF of Fractions 2/42,25/61,33/441,834/318 is 1/2851506
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 42,61,441,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,61,441,318) = 1
common factors(in case of two or more numbers have common factors) = 126
GCF(42,61,441,318) x common factors =1 x 126 = 126
LCM(42,61,441,318) = ( 42 × 61 × 441 × 318 ) / 126
LCM(42,61,441,318) = 359289756 / 126
LCM(42,61,441,318) = 2851506
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 2/42, 25/61, 33/441, 834/318?
Answer: GCF of Numerators as per given numbers 2/42, 25/61, 33/441, 834/318 is
GCF of Numerators i.e. for 2,25,33,834 is 1
LCM of denominators i.e. for 42,61,441,318 is 2851506.
Thus, GCF of Fractions is 1/2851506.Finally, GCF of Fractions for 2/42, 25/61, 33/441, 834/318 is 1/2851506.