Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7866/837,2071/3067
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 7866,2071
Greatest Common Factor of Numerators i.e. GCF of 7866,2071 is 19 .
LCM of Denominators means LCM of 837,3067 as per the given fractions.
LCM of 837,3067 is 2567079 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7866,2071
19 | 7866, 2071 |
414, 109 |
∴ So the GCF of the given numbers is 19 = 19
Factors of 7866
List of positive integer factors of 7866 that divides 7866 without a remainder.
1,2,3,6,9,18,19,23,38,46,57,69,114,138,171,207,342,414,437,874,1311,2622,3933,7866
Factors of 2071
List of positive integer factors of 2071 that divides 2071 without a remainder.
1,19,109,2071
Greatest Common Factor
We found the factors 7866,2071 . The biggest common factor number is the GCF number.
So the greatest common factor 7866,2071 is 19.
Lets's calculate LCM of 837,3067
Given numbers has no common factors except 1. So, there LCM is their product i.e 2567079
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/2567079
Therefore, the GCF of Fractions 7866/837,2071/3067 is 19/2567079
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 837,3067 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,3067) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,3067) x common factors =1 x 1 = 1
LCM(837,3067) = ( 837 × 3067 ) / 1
LCM(837,3067) = 2567079 / 1
LCM(837,3067) = 2567079
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 7866/837, 2071/3067?
Answer: GCF of Numerators as per given numbers 7866/837, 2071/3067 is
GCF of Numerators i.e. for 7866,2071 is 19
LCM of denominators i.e. for 837,3067 is 2567079.
Thus, GCF of Fractions is 19/2567079.Finally, GCF of Fractions for 7866/837, 2071/3067 is 19/2567079.