GCF of 3749/580, 4890/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3749/580, 4890/419 i.e 163/243020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3749/580, 4890/419.
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 3749/580,4890/419?
Given fractions are 3749/580,4890/419
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 3749/580,4890/419, numerators are 3749,4890
Denominators are 580,419
The GCF of 3749,4890 is 163 .
LCM of 580,419 is 243020.
The greatest common factor of 3749/580,4890/419 = [GCF of 3749,4890]/[LCM of 580,419]= 163/243020
Therefore, the GCF of 3749/580,4890/419 is 163/243020.
To find the highest common factor of 3749,4890, we have to find the factors of both numbers and list the highest common factor.
The factors of 3749 are 1, 23, 163, 3749
The factors of 4890 are 1, 2, 3, 5, 6, 10, 15, 30, 163, 326, 489, 815, 978, 1630, 2445, 4890
The HCF of 3749,4890 is 163.
Lets's calculate GCF of 3749,4890
| 163 | 3749, 4890 |
| 23, 30 |
∴ So the GCF of the given numbers is 163 = 163
Greatest Common Factor of 3749,4890 By Matching Biggest Common Factor Method
Now, list down the factors of 3749
:1,23,163,3749
Now, list down the factors of 4890
:1,2,3,5,6,10,15,30,163,326,489,815,978,1630,2445,4890
Greatest Common Factor
We found the factors 3749,4890 . The biggest common factor number is the GCF number.
So the greatest common factor 3749,4890 is 163.
Lets's calculate LCM of 580,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 243020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 163/243020
Therefore, the GCF of Fractions 3749/580,4890/419 is 163/243020
Least Common Multiple of 580,419 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 580,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(580,419) x common factors =1 x 1 = 1
LCM(580,419) = ( 580 × 419 ) / 1
LCM(580,419) = 243020 / 1
LCM(580,419) = 243020
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FAQs on GCF of Fractions of 3749/580, 4890/419
1. What is the HCF of 3749,4890?
The HCF of 3749,4890 is 163
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 3749/580, 4890/419?
Answer: GCF of Numerators as per given numbers 3749/580, 4890/419 is
GCF of Numerators i.e. for 3749,4890 is 163
LCM of denominators i.e. for 580,419 is 243020.
Thus, GCF of Fractions is 163/243020.Finally, GCF of Fractions for 3749/580, 4890/419 is 163/243020.