GCF of 410/161, 1774/1011
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 410/161, 1774/1011 i.e 2/162771 easily. The following is the detailed procedure to determine the greatest common factor of fractions 410/161, 1774/1011.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 410/161,1774/1011?
Given fractions are 410/161,1774/1011
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 410/161,1774/1011, numerators are 410,1774
Denominators are 161,1011
The GCF of 410,1774 is 2 .
LCM of 161,1011 is 162771.
The greatest common factor of 410/161,1774/1011 = [GCF of 410,1774]/[LCM of 161,1011]= 2/162771
Therefore, the GCF of 410/161,1774/1011 is 2/162771.
To find the highest common factor of 410,1774, we have to find the factors of both numbers and list the highest common factor.
The factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410
The factors of 1774 are 1, 2, 887, 1774
The HCF of 410,1774 is 2.
Lets's calculate GCF of 410,1774
| 2 | 410, 1774 |
| 205, 887 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 410,1774 By Matching Biggest Common Factor Method
Now, list down the factors of 410
:1,2,5,10,41,82,205,410
Now, list down the factors of 1774
:1,2,887,1774
Greatest Common Factor
We found the factors 410,1774 . The biggest common factor number is the GCF number.
So the greatest common factor 410,1774 is 2.
Lets's calculate LCM of 161,1011
Given numbers has no common factors except 1. So, there LCM is their product i.e 162771
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/162771
Therefore, the GCF of Fractions 410/161,1774/1011 is 2/162771
Least Common Multiple of 161,1011 with GCF Formula
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 161,1011 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,1011) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,1011) x common factors =1 x 1 = 1
LCM(161,1011) = ( 161 × 1011 ) / 1
LCM(161,1011) = 162771 / 1
LCM(161,1011) = 162771
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 410/161, 1774/1011
1. What is the HCF of 410,1774?
The HCF of 410,1774 is 2
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 410/161, 1774/1011?
Answer: GCF of Numerators as per given numbers 410/161, 1774/1011 is
GCF of Numerators i.e. for 410,1774 is 2
LCM of denominators i.e. for 161,1011 is 162771.
Thus, GCF of Fractions is 2/162771.Finally, GCF of Fractions for 410/161, 1774/1011 is 2/162771.