GCF of 360/59, 419/5249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 360/59, 419/5249 i.e 1/309691 easily. The following is the detailed procedure to determine the greatest common factor of fractions 360/59, 419/5249.
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 360/59,419/5249?
Given fractions are 360/59,419/5249
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 360/59,419/5249, numerators are 360,419
Denominators are 59,5249
The GCF of 360,419 is 1 .
LCM of 59,5249 is 309691.
The greatest common factor of 360/59,419/5249 = [GCF of 360,419]/[LCM of 59,5249]= 1/309691
Therefore, the GCF of 360/59,419/5249 is 1/309691.
To find the highest common factor of 360,419, we have to find the factors of both numbers and list the highest common factor.
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The factors of 419 are 1, 419
The HCF of 360,419 is 1.
Lets's calculate GCF of 360,419
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 360,419 By Matching Biggest Common Factor Method
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Now, list down the factors of 419
:1,419
Greatest Common Factor
We found the factors 360,419 . The biggest common factor number is the GCF number.
So the greatest common factor 360,419 is 1.
Lets's calculate LCM of 59,5249
Given numbers has no common factors except 1. So, there LCM is their product i.e 309691
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/309691
Therefore, the GCF of Fractions 360/59,419/5249 is 1/309691
Least Common Multiple of 59,5249 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 59,5249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,5249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,5249) x common factors =1 x 1 = 1
LCM(59,5249) = ( 59 × 5249 ) / 1
LCM(59,5249) = 309691 / 1
LCM(59,5249) = 309691
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FAQs on GCF of Fractions of 360/59, 419/5249
1. What is the HCF of 360,419?
The HCF of 360,419 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 360/59, 419/5249?
Answer: GCF of Numerators as per given numbers 360/59, 419/5249 is
GCF of Numerators i.e. for 360,419 is 1
LCM of denominators i.e. for 59,5249 is 309691.
Thus, GCF of Fractions is 1/309691.Finally, GCF of Fractions for 360/59, 419/5249 is 1/309691.