Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3617/434,1090/210
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 3617,1090
Greatest Common Factor of Numerators i.e. GCF of 3617,1090 is 1 .
LCM of Denominators means LCM of 434,210 as per the given fractions.
LCM of 434,210 is 6510 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3617,1090
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3617
List of positive integer factors of 3617 that divides 3617 without a remainder.
1,3617
Factors of 1090
List of positive integer factors of 1090 that divides 1090 without a remainder.
1,2,5,10,109,218,545,1090
Greatest Common Factor
We found the factors 3617,1090 . The biggest common factor number is the GCF number.
So the greatest common factor 3617,1090 is 1.
Lets's calculate LCM of 434,210
2 | 434, 210 |
7 | 217, 105 |
31, 15 |
∴ So the LCM of the given numbers is 2 x 7 x 31 x 15 = 6510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6510
Therefore, the GCF of Fractions 3617/434,1090/210 is 1/6510
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 434,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,210) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(434,210) x common factors =14 x 1 = 14
LCM(434,210) = ( 434 × 210 ) / 14
LCM(434,210) = 91140 / 14
LCM(434,210) = 6510
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 3617/434, 1090/210?
Answer: GCF of Numerators as per given numbers 3617/434, 1090/210 is
GCF of Numerators i.e. for 3617,1090 is 1
LCM of denominators i.e. for 434,210 is 6510.
Thus, GCF of Fractions is 1/6510.Finally, GCF of Fractions for 3617/434, 1090/210 is 1/6510.