GCF of 59/407, 288/538, 839/310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 59/407, 288/538, 839/310 i.e 1/33939730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 59/407, 288/538, 839/310.
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 59/407,288/538,839/310?
Given fractions are 59/407,288/538,839/310
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 59/407,288/538,839/310, numerators are 59,288,839
Denominators are 407,538,310
The GCF of 59,288,839 is 1 .
LCM of 407,538,310 is 33939730.
The greatest common factor of 59/407,288/538,839/310 = [GCF of 59,288,839]/[LCM of 407,538,310]= 1/33939730
Therefore, the GCF of 59/407,288/538,839/310 is 1/33939730.
To find the highest common factor of 59,288,839, we have to find the factors of both numbers and list the highest common factor.
The factors of 59 are 1, 59
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The factors of 839 are 1, 839
The HCF of 59,288,839 is 1.
Lets's calculate GCF of 59,288,839
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 59,288,839 By Matching Biggest Common Factor Method
Now, list down the factors of 59
:1,59
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Now, list down the factors of 839
:1,839
Greatest Common Factor
We found the factors 59,288,839 . The biggest common factor number is the GCF number.
So the greatest common factor 59,288,839 is 1.
Lets's calculate LCM of 407,538,310
| 2 | 407, 538, 310 |
| 407, 269, 155 |
∴ So the LCM of the given numbers is 2 x 407 x 269 x 155 = 33939730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33939730
Therefore, the GCF of Fractions 59/407,288/538,839/310 is 1/33939730
Least Common Multiple of 407,538,310 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 407,538,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,538,310) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(407,538,310) x common factors =1 x 2 = 2
LCM(407,538,310) = ( 407 × 538 × 310 ) / 2
LCM(407,538,310) = 67879460 / 2
LCM(407,538,310) = 33939730
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FAQs on GCF of Fractions of 59/407, 288/538, 839/310
1. What is the HCF of 59,288,839?
The HCF of 59,288,839 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 59/407, 288/538, 839/310?
Answer: GCF of Numerators as per given numbers 59/407, 288/538, 839/310 is
GCF of Numerators i.e. for 59,288,839 is 1
LCM of denominators i.e. for 407,538,310 is 33939730.
Thus, GCF of Fractions is 1/33939730.Finally, GCF of Fractions for 59/407, 288/538, 839/310 is 1/33939730.