Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 262/189,9263/546
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 262,9263
Greatest Common Factor of Numerators i.e. GCF of 262,9263 is 1 .
LCM of Denominators means LCM of 189,546 as per the given fractions.
LCM of 189,546 is 4914 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 262,9263
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Factors of 9263
List of positive integer factors of 9263 that divides 9263 without a remainder.
1,59,157,9263
Greatest Common Factor
We found the factors 262,9263 . The biggest common factor number is the GCF number.
So the greatest common factor 262,9263 is 1.
Lets's calculate LCM of 189,546
3 | 189, 546 |
7 | 63, 182 |
9, 26 |
∴ So the LCM of the given numbers is 3 x 7 x 9 x 26 = 4914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4914
Therefore, the GCF of Fractions 262/189,9263/546 is 1/4914
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 189,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,546) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(189,546) x common factors =21 x 1 = 21
LCM(189,546) = ( 189 × 546 ) / 21
LCM(189,546) = 103194 / 21
LCM(189,546) = 4914
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 262/189, 9263/546?
Answer: GCF of Numerators as per given numbers 262/189, 9263/546 is
GCF of Numerators i.e. for 262,9263 is 1
LCM of denominators i.e. for 189,546 is 4914.
Thus, GCF of Fractions is 1/4914.Finally, GCF of Fractions for 262/189, 9263/546 is 1/4914.