Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2650/840,5387/947
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 2650,5387
Greatest Common Factor of Numerators i.e. GCF of 2650,5387 is 1 .
LCM of Denominators means LCM of 840,947 as per the given fractions.
LCM of 840,947 is 795480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2650,5387
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2650
List of positive integer factors of 2650 that divides 2650 without a remainder.
1,2,5,10,25,50,53,106,265,530,1325,2650
Factors of 5387
List of positive integer factors of 5387 that divides 5387 without a remainder.
1,5387
Greatest Common Factor
We found the factors 2650,5387 . The biggest common factor number is the GCF number.
So the greatest common factor 2650,5387 is 1.
Lets's calculate LCM of 840,947
Given numbers has no common factors except 1. So, there LCM is their product i.e 795480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/795480
Therefore, the GCF of Fractions 2650/840,5387/947 is 1/795480
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 840,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(840,947) x common factors =1 x 1 = 1
LCM(840,947) = ( 840 × 947 ) / 1
LCM(840,947) = 795480 / 1
LCM(840,947) = 795480
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 2650/840, 5387/947?
Answer: GCF of Numerators as per given numbers 2650/840, 5387/947 is
GCF of Numerators i.e. for 2650,5387 is 1
LCM of denominators i.e. for 840,947 is 795480.
Thus, GCF of Fractions is 1/795480.Finally, GCF of Fractions for 2650/840, 5387/947 is 1/795480.