GCF of 1650/409, 1558/398
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1650/409, 1558/398 i.e 2/162782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1650/409, 1558/398.
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 1650/409,1558/398?
Given fractions are 1650/409,1558/398
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 1650/409,1558/398, numerators are 1650,1558
Denominators are 409,398
The GCF of 1650,1558 is 2 .
LCM of 409,398 is 162782.
The greatest common factor of 1650/409,1558/398 = [GCF of 1650,1558]/[LCM of 409,398]= 2/162782
Therefore, the GCF of 1650/409,1558/398 is 2/162782.
To find the highest common factor of 1650,1558, we have to find the factors of both numbers and list the highest common factor.
The factors of 1650 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650
The factors of 1558 are 1, 2, 19, 38, 41, 82, 779, 1558
The HCF of 1650,1558 is 2.
Lets's calculate GCF of 1650,1558
| 2 | 1650, 1558 |
| 825, 779 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1650,1558 By Matching Biggest Common Factor Method
Now, list down the factors of 1650
:1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,150,165,275,330,550,825,1650
Now, list down the factors of 1558
:1,2,19,38,41,82,779,1558
Greatest Common Factor
We found the factors 1650,1558 . The biggest common factor number is the GCF number.
So the greatest common factor 1650,1558 is 2.
Lets's calculate LCM of 409,398
Given numbers has no common factors except 1. So, there LCM is their product i.e 162782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/162782
Therefore, the GCF of Fractions 1650/409,1558/398 is 2/162782
Least Common Multiple of 409,398 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 409,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,398) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,398) x common factors =1 x 1 = 1
LCM(409,398) = ( 409 × 398 ) / 1
LCM(409,398) = 162782 / 1
LCM(409,398) = 162782
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FAQs on GCF of Fractions of 1650/409, 1558/398
1. What is the HCF of 1650,1558?
The HCF of 1650,1558 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 1650/409, 1558/398?
Answer: GCF of Numerators as per given numbers 1650/409, 1558/398 is
GCF of Numerators i.e. for 1650,1558 is 2
LCM of denominators i.e. for 409,398 is 162782.
Thus, GCF of Fractions is 2/162782.Finally, GCF of Fractions for 1650/409, 1558/398 is 2/162782.