Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2379/931,8624/810
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 2379,8624
Greatest Common Factor of Numerators i.e. GCF of 2379,8624 is 1 .
LCM of Denominators means LCM of 931,810 as per the given fractions.
LCM of 931,810 is 754110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2379,8624
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2379
List of positive integer factors of 2379 that divides 2379 without a remainder.
1,3,13,39,61,183,793,2379
Factors of 8624
List of positive integer factors of 8624 that divides 8624 without a remainder.
1,2,4,7,8,11,14,16,22,28,44,49,56,77,88,98,112,154,176,196,308,392,539,616,784,1078,1232,2156,4312,8624
Greatest Common Factor
We found the factors 2379,8624 . The biggest common factor number is the GCF number.
So the greatest common factor 2379,8624 is 1.
Lets's calculate LCM of 931,810
Given numbers has no common factors except 1. So, there LCM is their product i.e 754110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/754110
Therefore, the GCF of Fractions 2379/931,8624/810 is 1/754110
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 931,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,810) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,810) x common factors =1 x 1 = 1
LCM(931,810) = ( 931 × 810 ) / 1
LCM(931,810) = 754110 / 1
LCM(931,810) = 754110
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 2379/931, 8624/810?
Answer: GCF of Numerators as per given numbers 2379/931, 8624/810 is
GCF of Numerators i.e. for 2379,8624 is 1
LCM of denominators i.e. for 931,810 is 754110.
Thus, GCF of Fractions is 1/754110.Finally, GCF of Fractions for 2379/931, 8624/810 is 1/754110.