Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 733/251,274/514,656/689
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 733,274,656
Greatest Common Factor of Numerators i.e. GCF of 733,274,656 is 1 .
LCM of Denominators means LCM of 251,514,689 as per the given fractions.
LCM of 251,514,689 is 88890646 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 733,274,656
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 733,274,656 . The biggest common factor number is the GCF number.
So the greatest common factor 733,274,656 is 1.
Lets's calculate LCM of 251,514,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 88890646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88890646
Therefore, the GCF of Fractions 733/251,274/514,656/689 is 1/88890646
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 251,514,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,514,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,514,689) x common factors =1 x 1 = 1
LCM(251,514,689) = ( 251 × 514 × 689 ) / 1
LCM(251,514,689) = 88890646 / 1
LCM(251,514,689) = 88890646
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 733/251, 274/514, 656/689?
Answer: GCF of Numerators as per given numbers 733/251, 274/514, 656/689 is
GCF of Numerators i.e. for 733,274,656 is 1
LCM of denominators i.e. for 251,514,689 is 88890646.
Thus, GCF of Fractions is 1/88890646.Finally, GCF of Fractions for 733/251, 274/514, 656/689 is 1/88890646.