Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 890/872,6492/359
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 890,6492
Greatest Common Factor of Numerators i.e. GCF of 890,6492 is 2 .
LCM of Denominators means LCM of 872,359 as per the given fractions.
LCM of 872,359 is 313048 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 890,6492
2 | 890, 6492 |
445, 3246 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Factors of 6492
List of positive integer factors of 6492 that divides 6492 without a remainder.
1,2,3,4,6,12,541,1082,1623,2164,3246,6492
Greatest Common Factor
We found the factors 890,6492 . The biggest common factor number is the GCF number.
So the greatest common factor 890,6492 is 2.
Lets's calculate LCM of 872,359
Given numbers has no common factors except 1. So, there LCM is their product i.e 313048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/313048
Therefore, the GCF of Fractions 890/872,6492/359 is 2/313048
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 872,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(872,359) x common factors =1 x 1 = 1
LCM(872,359) = ( 872 × 359 ) / 1
LCM(872,359) = 313048 / 1
LCM(872,359) = 313048
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 890/872, 6492/359?
Answer: GCF of Numerators as per given numbers 890/872, 6492/359 is
GCF of Numerators i.e. for 890,6492 is 2
LCM of denominators i.e. for 872,359 is 313048.
Thus, GCF of Fractions is 2/313048.Finally, GCF of Fractions for 890/872, 6492/359 is 2/313048.