Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9385/29,6973/674
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 9385,6973
Greatest Common Factor of Numerators i.e. GCF of 9385,6973 is 1 .
LCM of Denominators means LCM of 29,674 as per the given fractions.
LCM of 29,674 is 19546 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9385,6973
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9385
List of positive integer factors of 9385 that divides 9385 without a remainder.
1,5,1877,9385
Factors of 6973
List of positive integer factors of 6973 that divides 6973 without a remainder.
1,19,367,6973
Greatest Common Factor
We found the factors 9385,6973 . The biggest common factor number is the GCF number.
So the greatest common factor 9385,6973 is 1.
Lets's calculate LCM of 29,674
Given numbers has no common factors except 1. So, there LCM is their product i.e 19546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19546
Therefore, the GCF of Fractions 9385/29,6973/674 is 1/19546
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 29,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,674) x common factors =1 x 1 = 1
LCM(29,674) = ( 29 × 674 ) / 1
LCM(29,674) = 19546 / 1
LCM(29,674) = 19546
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 9385/29, 6973/674?
Answer: GCF of Numerators as per given numbers 9385/29, 6973/674 is
GCF of Numerators i.e. for 9385,6973 is 1
LCM of denominators i.e. for 29,674 is 19546.
Thus, GCF of Fractions is 1/19546.Finally, GCF of Fractions for 9385/29, 6973/674 is 1/19546.