Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/280,217/867,501/334
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 40,217,501
Greatest Common Factor of Numerators i.e. GCF of 40,217,501 is 1 .
LCM of Denominators means LCM of 280,867,334 as per the given fractions.
LCM of 280,867,334 is 40540920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,217,501
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 217
List of positive integer factors of 217 that divides 217 without a remainder.
1,7,31,217
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Greatest Common Factor
We found the factors 40,217,501 . The biggest common factor number is the GCF number.
So the greatest common factor 40,217,501 is 1.
Lets's calculate LCM of 280,867,334
2 | 280, 867, 334 |
140, 867, 167 |
∴ So the LCM of the given numbers is 2 x 140 x 867 x 167 = 40540920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40540920
Therefore, the GCF of Fractions 40/280,217/867,501/334 is 1/40540920
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 280,867,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(280,867,334) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(280,867,334) x common factors =1 x 2 = 2
LCM(280,867,334) = ( 280 × 867 × 334 ) / 2
LCM(280,867,334) = 81081840 / 2
LCM(280,867,334) = 40540920
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 40/280, 217/867, 501/334?
Answer: GCF of Numerators as per given numbers 40/280, 217/867, 501/334 is
GCF of Numerators i.e. for 40,217,501 is 1
LCM of denominators i.e. for 280,867,334 is 40540920.
Thus, GCF of Fractions is 1/40540920.Finally, GCF of Fractions for 40/280, 217/867, 501/334 is 1/40540920.