Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1342/110,9269/485
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 1342,9269
Greatest Common Factor of Numerators i.e. GCF of 1342,9269 is 1 .
LCM of Denominators means LCM of 110,485 as per the given fractions.
LCM of 110,485 is 10670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1342,9269
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1342
List of positive integer factors of 1342 that divides 1342 without a remainder.
1,2,11,22,61,122,671,1342
Factors of 9269
List of positive integer factors of 9269 that divides 9269 without a remainder.
1,13,23,31,299,403,713,9269
Greatest Common Factor
We found the factors 1342,9269 . The biggest common factor number is the GCF number.
So the greatest common factor 1342,9269 is 1.
Lets's calculate LCM of 110,485
5 | 110, 485 |
22, 97 |
∴ So the LCM of the given numbers is 5 x 22 x 97 = 10670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10670
Therefore, the GCF of Fractions 1342/110,9269/485 is 1/10670
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 110,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,485) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(110,485) x common factors =5 x 1 = 5
LCM(110,485) = ( 110 × 485 ) / 5
LCM(110,485) = 53350 / 5
LCM(110,485) = 10670
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 1342/110, 9269/485?
Answer: GCF of Numerators as per given numbers 1342/110, 9269/485 is
GCF of Numerators i.e. for 1342,9269 is 1
LCM of denominators i.e. for 110,485 is 10670.
Thus, GCF of Fractions is 1/10670.Finally, GCF of Fractions for 1342/110, 9269/485 is 1/10670.