Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 889/170,465/221
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 889,465
Greatest Common Factor of Numerators i.e. GCF of 889,465 is 1 .
LCM of Denominators means LCM of 170,221 as per the given fractions.
LCM of 170,221 is 2210 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 889,465
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 889
List of positive integer factors of 889 that divides 889 without a remainder.
1,7,127,889
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 889,465 . The biggest common factor number is the GCF number.
So the greatest common factor 889,465 is 1.
Lets's calculate LCM of 170,221
17 | 170, 221 |
10, 13 |
∴ So the LCM of the given numbers is 17 x 10 x 13 = 2210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2210
Therefore, the GCF of Fractions 889/170,465/221 is 1/2210
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 170,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,221) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(170,221) x common factors =17 x 1 = 17
LCM(170,221) = ( 170 × 221 ) / 17
LCM(170,221) = 37570 / 17
LCM(170,221) = 2210
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 889/170, 465/221?
Answer: GCF of Numerators as per given numbers 889/170, 465/221 is
GCF of Numerators i.e. for 889,465 is 1
LCM of denominators i.e. for 170,221 is 2210.
Thus, GCF of Fractions is 1/2210.Finally, GCF of Fractions for 889/170, 465/221 is 1/2210.