Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 364/737,7269/266
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 364,7269
Greatest Common Factor of Numerators i.e. GCF of 364,7269 is 1 .
LCM of Denominators means LCM of 737,266 as per the given fractions.
LCM of 737,266 is 196042 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 364,7269
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Factors of 7269
List of positive integer factors of 7269 that divides 7269 without a remainder.
1,3,2423,7269
Greatest Common Factor
We found the factors 364,7269 . The biggest common factor number is the GCF number.
So the greatest common factor 364,7269 is 1.
Lets's calculate LCM of 737,266
Given numbers has no common factors except 1. So, there LCM is their product i.e 196042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196042
Therefore, the GCF of Fractions 364/737,7269/266 is 1/196042
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 737,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,266) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,266) x common factors =1 x 1 = 1
LCM(737,266) = ( 737 × 266 ) / 1
LCM(737,266) = 196042 / 1
LCM(737,266) = 196042
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 364/737, 7269/266?
Answer: GCF of Numerators as per given numbers 364/737, 7269/266 is
GCF of Numerators i.e. for 364,7269 is 1
LCM of denominators i.e. for 737,266 is 196042.
Thus, GCF of Fractions is 1/196042.Finally, GCF of Fractions for 364/737, 7269/266 is 1/196042.