Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7267/779,6033/7077
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 7267,6033
Greatest Common Factor of Numerators i.e. GCF of 7267,6033 is 1 .
LCM of Denominators means LCM of 779,7077 as per the given fractions.
LCM of 779,7077 is 5512983 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7267,6033
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7267
List of positive integer factors of 7267 that divides 7267 without a remainder.
1,13,43,169,559,7267
Factors of 6033
List of positive integer factors of 6033 that divides 6033 without a remainder.
1,3,2011,6033
Greatest Common Factor
We found the factors 7267,6033 . The biggest common factor number is the GCF number.
So the greatest common factor 7267,6033 is 1.
Lets's calculate LCM of 779,7077
Given numbers has no common factors except 1. So, there LCM is their product i.e 5512983
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5512983
Therefore, the GCF of Fractions 7267/779,6033/7077 is 1/5512983
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 779,7077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,7077) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(779,7077) x common factors =1 x 1 = 1
LCM(779,7077) = ( 779 × 7077 ) / 1
LCM(779,7077) = 5512983 / 1
LCM(779,7077) = 5512983
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 7267/779, 6033/7077?
Answer: GCF of Numerators as per given numbers 7267/779, 6033/7077 is
GCF of Numerators i.e. for 7267,6033 is 1
LCM of denominators i.e. for 779,7077 is 5512983.
Thus, GCF of Fractions is 1/5512983.Finally, GCF of Fractions for 7267/779, 6033/7077 is 1/5512983.