GCF of 58/34, 534/30, 147/216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 58/34, 534/30, 147/216 i.e 1/18360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 58/34, 534/30, 147/216.
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 58/34,534/30,147/216?
Given fractions are 58/34,534/30,147/216
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 58/34,534/30,147/216, numerators are 58,534,147
Denominators are 34,30,216
The GCF of 58,534,147 is 1 .
LCM of 34,30,216 is 18360.
The greatest common factor of 58/34,534/30,147/216 = [GCF of 58,534,147]/[LCM of 34,30,216]= 1/18360
Therefore, the GCF of 58/34,534/30,147/216 is 1/18360.
To find the highest common factor of 58,534,147, we have to find the factors of both numbers and list the highest common factor.
The factors of 58 are 1, 2, 29, 58
The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534
The factors of 147 are 1, 3, 7, 21, 49, 147
The HCF of 58,534,147 is 1.
Lets's calculate GCF of 58,534,147
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 58,534,147 By Matching Biggest Common Factor Method
Now, list down the factors of 58
:1,2,29,58
Now, list down the factors of 534
:1,2,3,6,89,178,267,534
Now, list down the factors of 147
:1,3,7,21,49,147
Greatest Common Factor
We found the factors 58,534,147 . The biggest common factor number is the GCF number.
So the greatest common factor 58,534,147 is 1.
Lets's calculate LCM of 34,30,216
| 2 | 34, 30, 216 |
| 3 | 17, 15, 108 |
| 17, 5, 36 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 5 x 36 = 18360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18360
Therefore, the GCF of Fractions 58/34,534/30,147/216 is 1/18360
Least Common Multiple of 34,30,216 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 34,30,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,30,216) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(34,30,216) x common factors =2 x 6 = 12
LCM(34,30,216) = ( 34 × 30 × 216 ) / 12
LCM(34,30,216) = 220320 / 12
LCM(34,30,216) = 18360
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FAQs on GCF of Fractions of 58/34, 534/30, 147/216
1. What is the HCF of 58,534,147?
The HCF of 58,534,147 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 58/34, 534/30, 147/216?
Answer: GCF of Numerators as per given numbers 58/34, 534/30, 147/216 is
GCF of Numerators i.e. for 58,534,147 is 1
LCM of denominators i.e. for 34,30,216 is 18360.
Thus, GCF of Fractions is 1/18360.Finally, GCF of Fractions for 58/34, 534/30, 147/216 is 1/18360.