Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1850/165,6280/817
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 1850,6280
Greatest Common Factor of Numerators i.e. GCF of 1850,6280 is 10 .
LCM of Denominators means LCM of 165,817 as per the given fractions.
LCM of 165,817 is 134805 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1850,6280
2 | 1850, 6280 |
5 | 925, 3140 |
185, 628 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 1850
List of positive integer factors of 1850 that divides 1850 without a remainder.
1,2,5,10,25,37,50,74,185,370,925,1850
Factors of 6280
List of positive integer factors of 6280 that divides 6280 without a remainder.
1,2,4,5,8,10,20,40,157,314,628,785,1256,1570,3140,6280
Greatest Common Factor
We found the factors 1850,6280 . The biggest common factor number is the GCF number.
So the greatest common factor 1850,6280 is 10.
Lets's calculate LCM of 165,817
Given numbers has no common factors except 1. So, there LCM is their product i.e 134805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/134805
Therefore, the GCF of Fractions 1850/165,6280/817 is 10/134805
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 165,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,817) x common factors =1 x 1 = 1
LCM(165,817) = ( 165 × 817 ) / 1
LCM(165,817) = 134805 / 1
LCM(165,817) = 134805
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 1850/165, 6280/817?
Answer: GCF of Numerators as per given numbers 1850/165, 6280/817 is
GCF of Numerators i.e. for 1850,6280 is 10
LCM of denominators i.e. for 165,817 is 134805.
Thus, GCF of Fractions is 10/134805.Finally, GCF of Fractions for 1850/165, 6280/817 is 10/134805.