Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/31,36/33,32/61,492/94
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 92,36,32,492
Greatest Common Factor of Numerators i.e. GCF of 92,36,32,492 is 4 .
LCM of Denominators means LCM of 31,33,61,94 as per the given fractions.
LCM of 31,33,61,94 is 5865882 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,36,32,492
2 | 92, 36, 32, 492 |
2 | 46, 18, 16, 246 |
23, 9, 8, 123 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
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 92,36,32,492 . The biggest common factor number is the GCF number.
So the greatest common factor 92,36,32,492 is 4.
Lets's calculate LCM of 31,33,61,94
Given numbers has no common factors except 1. So, there LCM is their product i.e 5865882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5865882
Therefore, the GCF of Fractions 92/31,36/33,32/61,492/94 is 4/5865882
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 31,33,61,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,33,61,94) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,33,61,94) x common factors =1 x 1 = 1
LCM(31,33,61,94) = ( 31 × 33 × 61 × 94 ) / 1
LCM(31,33,61,94) = 5865882 / 1
LCM(31,33,61,94) = 5865882
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 92/31, 36/33, 32/61, 492/94?
Answer: GCF of Numerators as per given numbers 92/31, 36/33, 32/61, 492/94 is
GCF of Numerators i.e. for 92,36,32,492 is 4
LCM of denominators i.e. for 31,33,61,94 is 5865882.
Thus, GCF of Fractions is 4/5865882.Finally, GCF of Fractions for 92/31, 36/33, 32/61, 492/94 is 4/5865882.