Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1621/903,7611/1770
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 1621,7611
Greatest Common Factor of Numerators i.e. GCF of 1621,7611 is 1 .
LCM of Denominators means LCM of 903,1770 as per the given fractions.
LCM of 903,1770 is 532770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1621,7611
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1621
List of positive integer factors of 1621 that divides 1621 without a remainder.
1,1621
Factors of 7611
List of positive integer factors of 7611 that divides 7611 without a remainder.
1,3,43,59,129,177,2537,7611
Greatest Common Factor
We found the factors 1621,7611 . The biggest common factor number is the GCF number.
So the greatest common factor 1621,7611 is 1.
Lets's calculate LCM of 903,1770
3 | 903, 1770 |
301, 590 |
∴ So the LCM of the given numbers is 3 x 301 x 590 = 532770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/532770
Therefore, the GCF of Fractions 1621/903,7611/1770 is 1/532770
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 903,1770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,1770) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(903,1770) x common factors =3 x 1 = 3
LCM(903,1770) = ( 903 × 1770 ) / 3
LCM(903,1770) = 1598310 / 3
LCM(903,1770) = 532770
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 1621/903, 7611/1770?
Answer: GCF of Numerators as per given numbers 1621/903, 7611/1770 is
GCF of Numerators i.e. for 1621,7611 is 1
LCM of denominators i.e. for 903,1770 is 532770.
Thus, GCF of Fractions is 1/532770.Finally, GCF of Fractions for 1621/903, 7611/1770 is 1/532770.