Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 130/70,3069/699
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 130,3069
Greatest Common Factor of Numerators i.e. GCF of 130,3069 is 1 .
LCM of Denominators means LCM of 70,699 as per the given fractions.
LCM of 70,699 is 48930 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 130,3069
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Factors of 3069
List of positive integer factors of 3069 that divides 3069 without a remainder.
1,3,9,11,31,33,93,99,279,341,1023,3069
Greatest Common Factor
We found the factors 130,3069 . The biggest common factor number is the GCF number.
So the greatest common factor 130,3069 is 1.
Lets's calculate LCM of 70,699
Given numbers has no common factors except 1. So, there LCM is their product i.e 48930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48930
Therefore, the GCF of Fractions 130/70,3069/699 is 1/48930
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 70,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,699) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,699) x common factors =1 x 1 = 1
LCM(70,699) = ( 70 × 699 ) / 1
LCM(70,699) = 48930 / 1
LCM(70,699) = 48930
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 130/70, 3069/699?
Answer: GCF of Numerators as per given numbers 130/70, 3069/699 is
GCF of Numerators i.e. for 130,3069 is 1
LCM of denominators i.e. for 70,699 is 48930.
Thus, GCF of Fractions is 1/48930.Finally, GCF of Fractions for 130/70, 3069/699 is 1/48930.