Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6232/730,1661/293
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 6232,1661
Greatest Common Factor of Numerators i.e. GCF of 6232,1661 is 1 .
LCM of Denominators means LCM of 730,293 as per the given fractions.
LCM of 730,293 is 213890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6232,1661
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6232
List of positive integer factors of 6232 that divides 6232 without a remainder.
1,2,4,8,19,38,41,76,82,152,164,328,779,1558,3116,6232
Factors of 1661
List of positive integer factors of 1661 that divides 1661 without a remainder.
1,11,151,1661
Greatest Common Factor
We found the factors 6232,1661 . The biggest common factor number is the GCF number.
So the greatest common factor 6232,1661 is 1.
Lets's calculate LCM of 730,293
Given numbers has no common factors except 1. So, there LCM is their product i.e 213890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213890
Therefore, the GCF of Fractions 6232/730,1661/293 is 1/213890
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 730,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(730,293) x common factors =1 x 1 = 1
LCM(730,293) = ( 730 × 293 ) / 1
LCM(730,293) = 213890 / 1
LCM(730,293) = 213890
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 6232/730, 1661/293?
Answer: GCF of Numerators as per given numbers 6232/730, 1661/293 is
GCF of Numerators i.e. for 6232,1661 is 1
LCM of denominators i.e. for 730,293 is 213890.
Thus, GCF of Fractions is 1/213890.Finally, GCF of Fractions for 6232/730, 1661/293 is 1/213890.