Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 257/282,3960/6847
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 257,3960
Greatest Common Factor of Numerators i.e. GCF of 257,3960 is 1 .
LCM of Denominators means LCM of 282,6847 as per the given fractions.
LCM of 282,6847 is 1930854 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 257,3960
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Factors of 3960
List of positive integer factors of 3960 that divides 3960 without a remainder.
1,2,3,4,5,6,8,9,10,11,12,15,18,20,22,24,30,33,36,40,44,45,55,60,66,72,88,90,99,110,120,132,165,180,198,220,264,330,360,396,440,495,660,792,990,1320,1980,3960
Greatest Common Factor
We found the factors 257,3960 . The biggest common factor number is the GCF number.
So the greatest common factor 257,3960 is 1.
Lets's calculate LCM of 282,6847
Given numbers has no common factors except 1. So, there LCM is their product i.e 1930854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1930854
Therefore, the GCF of Fractions 257/282,3960/6847 is 1/1930854
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 282,6847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,6847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(282,6847) x common factors =1 x 1 = 1
LCM(282,6847) = ( 282 × 6847 ) / 1
LCM(282,6847) = 1930854 / 1
LCM(282,6847) = 1930854
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 257/282, 3960/6847?
Answer: GCF of Numerators as per given numbers 257/282, 3960/6847 is
GCF of Numerators i.e. for 257,3960 is 1
LCM of denominators i.e. for 282,6847 is 1930854.
Thus, GCF of Fractions is 1/1930854.Finally, GCF of Fractions for 257/282, 3960/6847 is 1/1930854.