Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4261/43,9314/754
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 4261,9314
Greatest Common Factor of Numerators i.e. GCF of 4261,9314 is 1 .
LCM of Denominators means LCM of 43,754 as per the given fractions.
LCM of 43,754 is 32422 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4261,9314
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4261
List of positive integer factors of 4261 that divides 4261 without a remainder.
1,4261
Factors of 9314
List of positive integer factors of 9314 that divides 9314 without a remainder.
1,2,4657,9314
Greatest Common Factor
We found the factors 4261,9314 . The biggest common factor number is the GCF number.
So the greatest common factor 4261,9314 is 1.
Lets's calculate LCM of 43,754
Given numbers has no common factors except 1. So, there LCM is their product i.e 32422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32422
Therefore, the GCF of Fractions 4261/43,9314/754 is 1/32422
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 43,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,754) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,754) x common factors =1 x 1 = 1
LCM(43,754) = ( 43 × 754 ) / 1
LCM(43,754) = 32422 / 1
LCM(43,754) = 32422
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 4261/43, 9314/754?
Answer: GCF of Numerators as per given numbers 4261/43, 9314/754 is
GCF of Numerators i.e. for 4261,9314 is 1
LCM of denominators i.e. for 43,754 is 32422.
Thus, GCF of Fractions is 1/32422.Finally, GCF of Fractions for 4261/43, 9314/754 is 1/32422.