Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 51/167,999/775,705/404
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 51,999,705
Greatest Common Factor of Numerators i.e. GCF of 51,999,705 is 3 .
LCM of Denominators means LCM of 167,775,404 as per the given fractions.
LCM of 167,775,404 is 52287700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 51,999,705
3 | 51, 999, 705 |
17, 333, 235 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 51,999,705 . The biggest common factor number is the GCF number.
So the greatest common factor 51,999,705 is 3.
Lets's calculate LCM of 167,775,404
Given numbers has no common factors except 1. So, there LCM is their product i.e 52287700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/52287700
Therefore, the GCF of Fractions 51/167,999/775,705/404 is 3/52287700
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 167,775,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,775,404) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,775,404) x common factors =1 x 1 = 1
LCM(167,775,404) = ( 167 × 775 × 404 ) / 1
LCM(167,775,404) = 52287700 / 1
LCM(167,775,404) = 52287700
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 51/167, 999/775, 705/404?
Answer: GCF of Numerators as per given numbers 51/167, 999/775, 705/404 is
GCF of Numerators i.e. for 51,999,705 is 3
LCM of denominators i.e. for 167,775,404 is 52287700.
Thus, GCF of Fractions is 3/52287700.Finally, GCF of Fractions for 51/167, 999/775, 705/404 is 3/52287700.