Use our free GCF of Fractions Calculator tool to compute the GCF of 989/661, 549/169 i.e 1/111709 easily. The following is the detailed procedure to determine the greatest common factor of fractions 989/661, 549/169.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 989/661,549/169
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 989/661,549/169, numerators are 989,549
Denominators are 661,169
The GCF of 989,549 is 1 .
LCM of 661,169 is 111709.
The greatest common factor of 989/661,549/169 = [GCF of 989,549]/[LCM of 661,169]= 1/111709
Therefore, the GCF of 989/661,549/169 is 1/111709.
To find the highest common factor of 989,549, we have to find the factors of both numbers and list the highest common factor.
The factors of 989 are 1, 23, 43, 989
The factors of 549 are 1, 3, 9, 61, 183, 549
The HCF of 989,549 is 1.
Lets's calculate GCF of 989,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 989
:1,23,43,989
Now, list down the factors of 549
:1,3,9,61,183,549
Greatest Common Factor
We found the factors 989,549 . The biggest common factor number is the GCF number.
So the greatest common factor 989,549 is 1.
Lets's calculate LCM of 661,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 111709
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111709
Therefore, the GCF of Fractions 989/661,549/169 is 1/111709
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 661,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,169) x common factors =1 x 1 = 1
LCM(661,169) = ( 661 × 169 ) / 1
LCM(661,169) = 111709 / 1
LCM(661,169) = 111709
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 989,549?
The HCF of 989,549 is 1
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 989/661, 549/169?
Answer: GCF of Numerators as per given numbers 989/661, 549/169 is
GCF of Numerators i.e. for 989,549 is 1
LCM of denominators i.e. for 661,169 is 111709.
Thus, GCF of Fractions is 1/111709.Finally, GCF of Fractions for 989/661, 549/169 is 1/111709.