GCF of 18/59, 35/625, 314/587
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 18/59, 35/625, 314/587 i.e 1/21645625 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/59, 35/625, 314/587.
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 18/59,35/625,314/587?
Given fractions are 18/59,35/625,314/587
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 18/59,35/625,314/587, numerators are 18,35,314
Denominators are 59,625,587
The GCF of 18,35,314 is 1 .
LCM of 59,625,587 is 21645625.
The greatest common factor of 18/59,35/625,314/587 = [GCF of 18,35,314]/[LCM of 59,625,587]= 1/21645625
Therefore, the GCF of 18/59,35/625,314/587 is 1/21645625.
To find the highest common factor of 18,35,314, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 35 are 1, 5, 7, 35
The factors of 314 are 1, 2, 157, 314
The HCF of 18,35,314 is 1.
Lets's calculate GCF of 18,35,314
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 18,35,314 By Matching Biggest Common Factor Method
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 314
:1,2,157,314
Greatest Common Factor
We found the factors 18,35,314 . The biggest common factor number is the GCF number.
So the greatest common factor 18,35,314 is 1.
Lets's calculate LCM of 59,625,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 21645625
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21645625
Therefore, the GCF of Fractions 18/59,35/625,314/587 is 1/21645625
Least Common Multiple of 59,625,587 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 59,625,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,625,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,625,587) x common factors =1 x 1 = 1
LCM(59,625,587) = ( 59 × 625 × 587 ) / 1
LCM(59,625,587) = 21645625 / 1
LCM(59,625,587) = 21645625
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FAQs on GCF of Fractions of 18/59, 35/625, 314/587
1. What is the HCF of 18,35,314?
The HCF of 18,35,314 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 18/59, 35/625, 314/587?
Answer: GCF of Numerators as per given numbers 18/59, 35/625, 314/587 is
GCF of Numerators i.e. for 18,35,314 is 1
LCM of denominators i.e. for 59,625,587 is 21645625.
Thus, GCF of Fractions is 1/21645625.Finally, GCF of Fractions for 18/59, 35/625, 314/587 is 1/21645625.