Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3471/786,1070/1717
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 3471,1070
Greatest Common Factor of Numerators i.e. GCF of 3471,1070 is 1 .
LCM of Denominators means LCM of 786,1717 as per the given fractions.
LCM of 786,1717 is 1349562 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3471,1070
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3471
List of positive integer factors of 3471 that divides 3471 without a remainder.
1,3,13,39,89,267,1157,3471
Factors of 1070
List of positive integer factors of 1070 that divides 1070 without a remainder.
1,2,5,10,107,214,535,1070
Greatest Common Factor
We found the factors 3471,1070 . The biggest common factor number is the GCF number.
So the greatest common factor 3471,1070 is 1.
Lets's calculate LCM of 786,1717
Given numbers has no common factors except 1. So, there LCM is their product i.e 1349562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1349562
Therefore, the GCF of Fractions 3471/786,1070/1717 is 1/1349562
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 786,1717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,1717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(786,1717) x common factors =1 x 1 = 1
LCM(786,1717) = ( 786 × 1717 ) / 1
LCM(786,1717) = 1349562 / 1
LCM(786,1717) = 1349562
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 3471/786, 1070/1717?
Answer: GCF of Numerators as per given numbers 3471/786, 1070/1717 is
GCF of Numerators i.e. for 3471,1070 is 1
LCM of denominators i.e. for 786,1717 is 1349562.
Thus, GCF of Fractions is 1/1349562.Finally, GCF of Fractions for 3471/786, 1070/1717 is 1/1349562.