Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 825/838,8305/795
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 825,8305
Greatest Common Factor of Numerators i.e. GCF of 825,8305 is 55 .
LCM of Denominators means LCM of 838,795 as per the given fractions.
LCM of 838,795 is 666210 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 825,8305
5 | 825, 8305 |
11 | 165, 1661 |
15, 151 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Factors of 8305
List of positive integer factors of 8305 that divides 8305 without a remainder.
1,5,11,55,151,755,1661,8305
Greatest Common Factor
We found the factors 825,8305 . The biggest common factor number is the GCF number.
So the greatest common factor 825,8305 is 55.
Lets's calculate LCM of 838,795
Given numbers has no common factors except 1. So, there LCM is their product i.e 666210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/666210
Therefore, the GCF of Fractions 825/838,8305/795 is 55/666210
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 838,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,795) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(838,795) x common factors =1 x 1 = 1
LCM(838,795) = ( 838 × 795 ) / 1
LCM(838,795) = 666210 / 1
LCM(838,795) = 666210
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 825/838, 8305/795?
Answer: GCF of Numerators as per given numbers 825/838, 8305/795 is
GCF of Numerators i.e. for 825,8305 is 55
LCM of denominators i.e. for 838,795 is 666210.
Thus, GCF of Fractions is 55/666210.Finally, GCF of Fractions for 825/838, 8305/795 is 55/666210.