Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1451/529,1662/985
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 1451,1662
Greatest Common Factor of Numerators i.e. GCF of 1451,1662 is 1 .
LCM of Denominators means LCM of 529,985 as per the given fractions.
LCM of 529,985 is 521065 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1451,1662
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1451
List of positive integer factors of 1451 that divides 1451 without a remainder.
1,1451
Factors of 1662
List of positive integer factors of 1662 that divides 1662 without a remainder.
1,2,3,6,277,554,831,1662
Greatest Common Factor
We found the factors 1451,1662 . The biggest common factor number is the GCF number.
So the greatest common factor 1451,1662 is 1.
Lets's calculate LCM of 529,985
Given numbers has no common factors except 1. So, there LCM is their product i.e 521065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/521065
Therefore, the GCF of Fractions 1451/529,1662/985 is 1/521065
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 529,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,985) x common factors =1 x 1 = 1
LCM(529,985) = ( 529 × 985 ) / 1
LCM(529,985) = 521065 / 1
LCM(529,985) = 521065
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 1451/529, 1662/985?
Answer: GCF of Numerators as per given numbers 1451/529, 1662/985 is
GCF of Numerators i.e. for 1451,1662 is 1
LCM of denominators i.e. for 529,985 is 521065.
Thus, GCF of Fractions is 1/521065.Finally, GCF of Fractions for 1451/529, 1662/985 is 1/521065.