Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/43,443/96,336/948
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 62,443,336
Greatest Common Factor of Numerators i.e. GCF of 62,443,336 is 1 .
LCM of Denominators means LCM of 43,96,948 as per the given fractions.
LCM of 43,96,948 is 326112 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,443,336
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 62,443,336 . The biggest common factor number is the GCF number.
So the greatest common factor 62,443,336 is 1.
Lets's calculate LCM of 43,96,948
2 | 43, 96, 948 |
2 | 43, 48, 474 |
3 | 43, 24, 237 |
43, 8, 79 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 8 x 79 = 326112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/326112
Therefore, the GCF of Fractions 62/43,443/96,336/948 is 1/326112
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 43,96,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,96,948) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(43,96,948) x common factors =1 x 12 = 12
LCM(43,96,948) = ( 43 × 96 × 948 ) / 12
LCM(43,96,948) = 3913344 / 12
LCM(43,96,948) = 326112
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 62/43, 443/96, 336/948?
Answer: GCF of Numerators as per given numbers 62/43, 443/96, 336/948 is
GCF of Numerators i.e. for 62,443,336 is 1
LCM of denominators i.e. for 43,96,948 is 326112.
Thus, GCF of Fractions is 1/326112.Finally, GCF of Fractions for 62/43, 443/96, 336/948 is 1/326112.