Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 218/911,1570/667
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 218,1570
Greatest Common Factor of Numerators i.e. GCF of 218,1570 is 2 .
LCM of Denominators means LCM of 911,667 as per the given fractions.
LCM of 911,667 is 607637 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 218,1570
2 | 218, 1570 |
109, 785 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Factors of 1570
List of positive integer factors of 1570 that divides 1570 without a remainder.
1,2,5,10,157,314,785,1570
Greatest Common Factor
We found the factors 218,1570 . The biggest common factor number is the GCF number.
So the greatest common factor 218,1570 is 2.
Lets's calculate LCM of 911,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 607637
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/607637
Therefore, the GCF of Fractions 218/911,1570/667 is 2/607637
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 911,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(911,667) x common factors =1 x 1 = 1
LCM(911,667) = ( 911 × 667 ) / 1
LCM(911,667) = 607637 / 1
LCM(911,667) = 607637
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 218/911, 1570/667?
Answer: GCF of Numerators as per given numbers 218/911, 1570/667 is
GCF of Numerators i.e. for 218,1570 is 2
LCM of denominators i.e. for 911,667 is 607637.
Thus, GCF of Fractions is 2/607637.Finally, GCF of Fractions for 218/911, 1570/667 is 2/607637.