GCF of 1638/158, 4433/3427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1638/158, 4433/3427 i.e 13/541466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1638/158, 4433/3427.
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 1638/158,4433/3427?
Given fractions are 1638/158,4433/3427
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 1638/158,4433/3427, numerators are 1638,4433
Denominators are 158,3427
The GCF of 1638,4433 is 13 .
LCM of 158,3427 is 541466.
The greatest common factor of 1638/158,4433/3427 = [GCF of 1638,4433]/[LCM of 158,3427]= 13/541466
Therefore, the GCF of 1638/158,4433/3427 is 13/541466.
To find the highest common factor of 1638,4433, we have to find the factors of both numbers and list the highest common factor.
The factors of 1638 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819, 1638
The factors of 4433 are 1, 11, 13, 31, 143, 341, 403, 4433
The HCF of 1638,4433 is 13.
Lets's calculate GCF of 1638,4433
| 13 | 1638, 4433 |
| 126, 341 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 1638,4433 By Matching Biggest Common Factor Method
Now, list down the factors of 1638
:1,2,3,6,7,9,13,14,18,21,26,39,42,63,78,91,117,126,182,234,273,546,819,1638
Now, list down the factors of 4433
:1,11,13,31,143,341,403,4433
Greatest Common Factor
We found the factors 1638,4433 . The biggest common factor number is the GCF number.
So the greatest common factor 1638,4433 is 13.
Lets's calculate LCM of 158,3427
Given numbers has no common factors except 1. So, there LCM is their product i.e 541466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/541466
Therefore, the GCF of Fractions 1638/158,4433/3427 is 13/541466
Least Common Multiple of 158,3427 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 158,3427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,3427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(158,3427) x common factors =1 x 1 = 1
LCM(158,3427) = ( 158 × 3427 ) / 1
LCM(158,3427) = 541466 / 1
LCM(158,3427) = 541466
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FAQs on GCF of Fractions of 1638/158, 4433/3427
1. What is the HCF of 1638,4433?
The HCF of 1638,4433 is 13
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 1638/158, 4433/3427?
Answer: GCF of Numerators as per given numbers 1638/158, 4433/3427 is
GCF of Numerators i.e. for 1638,4433 is 13
LCM of denominators i.e. for 158,3427 is 541466.
Thus, GCF of Fractions is 13/541466.Finally, GCF of Fractions for 1638/158, 4433/3427 is 13/541466.