Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 890/250,1340/293
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 890,1340
Greatest Common Factor of Numerators i.e. GCF of 890,1340 is 10 .
LCM of Denominators means LCM of 250,293 as per the given fractions.
LCM of 250,293 is 73250 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 890,1340
2 | 890, 1340 |
5 | 445, 670 |
89, 134 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Factors of 1340
List of positive integer factors of 1340 that divides 1340 without a remainder.
1,2,4,5,10,20,67,134,268,335,670,1340
Greatest Common Factor
We found the factors 890,1340 . The biggest common factor number is the GCF number.
So the greatest common factor 890,1340 is 10.
Lets's calculate LCM of 250,293
Given numbers has no common factors except 1. So, there LCM is their product i.e 73250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/73250
Therefore, the GCF of Fractions 890/250,1340/293 is 10/73250
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 250,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(250,293) x common factors =1 x 1 = 1
LCM(250,293) = ( 250 × 293 ) / 1
LCM(250,293) = 73250 / 1
LCM(250,293) = 73250
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 890/250, 1340/293?
Answer: GCF of Numerators as per given numbers 890/250, 1340/293 is
GCF of Numerators i.e. for 890,1340 is 10
LCM of denominators i.e. for 250,293 is 73250.
Thus, GCF of Fractions is 10/73250.Finally, GCF of Fractions for 890/250, 1340/293 is 10/73250.