GCF of 590/380, 7461/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 590/380, 7461/209 i.e 1/4180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 590/380, 7461/209.
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 590/380,7461/209?
Given fractions are 590/380,7461/209
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 590/380,7461/209, numerators are 590,7461
Denominators are 380,209
The GCF of 590,7461 is 1 .
LCM of 380,209 is 4180.
The greatest common factor of 590/380,7461/209 = [GCF of 590,7461]/[LCM of 380,209]= 1/4180
Therefore, the GCF of 590/380,7461/209 is 1/4180.
To find the highest common factor of 590,7461, we have to find the factors of both numbers and list the highest common factor.
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590
The factors of 7461 are 1, 3, 9, 829, 2487, 7461
The HCF of 590,7461 is 1.
Lets's calculate GCF of 590,7461
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 590,7461 By Matching Biggest Common Factor Method
Now, list down the factors of 590
:1,2,5,10,59,118,295,590
Now, list down the factors of 7461
:1,3,9,829,2487,7461
Greatest Common Factor
We found the factors 590,7461 . The biggest common factor number is the GCF number.
So the greatest common factor 590,7461 is 1.
Lets's calculate LCM of 380,209
| 19 | 380, 209 |
| 20, 11 |
∴ So the LCM of the given numbers is 19 x 20 x 11 = 4180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4180
Therefore, the GCF of Fractions 590/380,7461/209 is 1/4180
Least Common Multiple of 380,209 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 380,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,209) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(380,209) x common factors =19 x 1 = 19
LCM(380,209) = ( 380 × 209 ) / 19
LCM(380,209) = 79420 / 19
LCM(380,209) = 4180
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FAQs on GCF of Fractions of 590/380, 7461/209
1. What is the HCF of 590,7461?
The HCF of 590,7461 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 590/380, 7461/209?
Answer: GCF of Numerators as per given numbers 590/380, 7461/209 is
GCF of Numerators i.e. for 590,7461 is 1
LCM of denominators i.e. for 380,209 is 4180.
Thus, GCF of Fractions is 1/4180.Finally, GCF of Fractions for 590/380, 7461/209 is 1/4180.