Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5447/93,2609/522
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 5447,2609
Greatest Common Factor of Numerators i.e. GCF of 5447,2609 is 1 .
LCM of Denominators means LCM of 93,522 as per the given fractions.
LCM of 93,522 is 16182 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5447,2609
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5447
List of positive integer factors of 5447 that divides 5447 without a remainder.
1,13,419,5447
Factors of 2609
List of positive integer factors of 2609 that divides 2609 without a remainder.
1,2609
Greatest Common Factor
We found the factors 5447,2609 . The biggest common factor number is the GCF number.
So the greatest common factor 5447,2609 is 1.
Lets's calculate LCM of 93,522
3 | 93, 522 |
31, 174 |
∴ So the LCM of the given numbers is 3 x 31 x 174 = 16182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16182
Therefore, the GCF of Fractions 5447/93,2609/522 is 1/16182
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 93,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,522) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(93,522) x common factors =3 x 1 = 3
LCM(93,522) = ( 93 × 522 ) / 3
LCM(93,522) = 48546 / 3
LCM(93,522) = 16182
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 5447/93, 2609/522?
Answer: GCF of Numerators as per given numbers 5447/93, 2609/522 is
GCF of Numerators i.e. for 5447,2609 is 1
LCM of denominators i.e. for 93,522 is 16182.
Thus, GCF of Fractions is 1/16182.Finally, GCF of Fractions for 5447/93, 2609/522 is 1/16182.