Use our free GCF of Fractions Calculator tool to compute the GCF of 5490/236, 3669/1961 i.e 3/462796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5490/236, 3669/1961.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5490/236,3669/1961
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5490/236,3669/1961, numerators are 5490,3669
Denominators are 236,1961
The GCF of 5490,3669 is 3 .
LCM of 236,1961 is 462796.
The greatest common factor of 5490/236,3669/1961 = [GCF of 5490,3669]/[LCM of 236,1961]= 3/462796
Therefore, the GCF of 5490/236,3669/1961 is 3/462796.
To find the highest common factor of 5490,3669, we have to find the factors of both numbers and list the highest common factor.
The factors of 5490 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305, 366, 549, 610, 915, 1098, 1830, 2745, 5490
The factors of 3669 are 1, 3, 1223, 3669
The HCF of 5490,3669 is 3.
Lets's calculate GCF of 5490,3669
3 | 5490, 3669 |
1830, 1223 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 5490
:1,2,3,5,6,9,10,15,18,30,45,61,90,122,183,305,366,549,610,915,1098,1830,2745,5490
Now, list down the factors of 3669
:1,3,1223,3669
Greatest Common Factor
We found the factors 5490,3669 . The biggest common factor number is the GCF number.
So the greatest common factor 5490,3669 is 3.
Lets's calculate LCM of 236,1961
Given numbers has no common factors except 1. So, there LCM is their product i.e 462796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/462796
Therefore, the GCF of Fractions 5490/236,3669/1961 is 3/462796
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 236,1961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,1961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(236,1961) x common factors =1 x 1 = 1
LCM(236,1961) = ( 236 × 1961 ) / 1
LCM(236,1961) = 462796 / 1
LCM(236,1961) = 462796
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5490,3669?
The HCF of 5490,3669 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 5490/236, 3669/1961?
Answer: GCF of Numerators as per given numbers 5490/236, 3669/1961 is
GCF of Numerators i.e. for 5490,3669 is 3
LCM of denominators i.e. for 236,1961 is 462796.
Thus, GCF of Fractions is 3/462796.Finally, GCF of Fractions for 5490/236, 3669/1961 is 3/462796.