Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/53,99/16,66/916,336/645
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 6,99,66,336
Greatest Common Factor of Numerators i.e. GCF of 6,99,66,336 is 3 .
LCM of Denominators means LCM of 53,16,916,645 as per the given fractions.
LCM of 53,16,916,645 is 125253840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,99,66,336
3 | 6, 99, 66, 336 |
2, 33, 22, 112 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
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 6,99,66,336 . The biggest common factor number is the GCF number.
So the greatest common factor 6,99,66,336 is 3.
Lets's calculate LCM of 53,16,916,645
2 | 53, 16, 916, 645 |
2 | 53, 8, 458, 645 |
53, 4, 229, 645 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 4 x 229 x 645 = 125253840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/125253840
Therefore, the GCF of Fractions 6/53,99/16,66/916,336/645 is 3/125253840
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 53,16,916,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,16,916,645) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(53,16,916,645) x common factors =1 x 4 = 4
LCM(53,16,916,645) = ( 53 × 16 × 916 × 645 ) / 4
LCM(53,16,916,645) = 501015360 / 4
LCM(53,16,916,645) = 125253840
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 6/53, 99/16, 66/916, 336/645?
Answer: GCF of Numerators as per given numbers 6/53, 99/16, 66/916, 336/645 is
GCF of Numerators i.e. for 6,99,66,336 is 3
LCM of denominators i.e. for 53,16,916,645 is 125253840.
Thus, GCF of Fractions is 3/125253840.Finally, GCF of Fractions for 6/53, 99/16, 66/916, 336/645 is 3/125253840.