Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2003/62,9434/920
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 2003,9434
Greatest Common Factor of Numerators i.e. GCF of 2003,9434 is 1 .
LCM of Denominators means LCM of 62,920 as per the given fractions.
LCM of 62,920 is 28520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2003,9434
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2003
List of positive integer factors of 2003 that divides 2003 without a remainder.
1,2003
Factors of 9434
List of positive integer factors of 9434 that divides 9434 without a remainder.
1,2,53,89,106,178,4717,9434
Greatest Common Factor
We found the factors 2003,9434 . The biggest common factor number is the GCF number.
So the greatest common factor 2003,9434 is 1.
Lets's calculate LCM of 62,920
2 | 62, 920 |
31, 460 |
∴ So the LCM of the given numbers is 2 x 31 x 460 = 28520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28520
Therefore, the GCF of Fractions 2003/62,9434/920 is 1/28520
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 62,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,920) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,920) x common factors =2 x 1 = 2
LCM(62,920) = ( 62 × 920 ) / 2
LCM(62,920) = 57040 / 2
LCM(62,920) = 28520
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 2003/62, 9434/920?
Answer: GCF of Numerators as per given numbers 2003/62, 9434/920 is
GCF of Numerators i.e. for 2003,9434 is 1
LCM of denominators i.e. for 62,920 is 28520.
Thus, GCF of Fractions is 1/28520.Finally, GCF of Fractions for 2003/62, 9434/920 is 1/28520.