GCF of 59/25, 670/30, 598/705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 59/25, 670/30, 598/705 i.e 1/7050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 59/25, 670/30, 598/705.
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 59/25,670/30,598/705?
Given fractions are 59/25,670/30,598/705
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 59/25,670/30,598/705, numerators are 59,670,598
Denominators are 25,30,705
The GCF of 59,670,598 is 1 .
LCM of 25,30,705 is 7050.
The greatest common factor of 59/25,670/30,598/705 = [GCF of 59,670,598]/[LCM of 25,30,705]= 1/7050
Therefore, the GCF of 59/25,670/30,598/705 is 1/7050.
To find the highest common factor of 59,670,598, 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 670 are 1, 2, 5, 10, 67, 134, 335, 670
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The HCF of 59,670,598 is 1.
Lets's calculate GCF of 59,670,598
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 59,670,598 By Matching Biggest Common Factor Method
Now, list down the factors of 59
:1,59
Now, list down the factors of 670
:1,2,5,10,67,134,335,670
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 59,670,598 . The biggest common factor number is the GCF number.
So the greatest common factor 59,670,598 is 1.
Lets's calculate LCM of 25,30,705
| 3 | 25, 30, 705 |
| 5 | 25, 10, 235 |
| 5, 2, 47 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 2 x 47 = 7050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7050
Therefore, the GCF of Fractions 59/25,670/30,598/705 is 1/7050
Least Common Multiple of 25,30,705 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 25,30,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,30,705) = 5
common factors(in case of two or more numbers have common factors) = 15
GCF(25,30,705) x common factors =5 x 15 = 75
LCM(25,30,705) = ( 25 × 30 × 705 ) / 75
LCM(25,30,705) = 528750 / 75
LCM(25,30,705) = 7050
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FAQs on GCF of Fractions of 59/25, 670/30, 598/705
1. What is the HCF of 59,670,598?
The HCF of 59,670,598 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 59/25, 670/30, 598/705?
Answer: GCF of Numerators as per given numbers 59/25, 670/30, 598/705 is
GCF of Numerators i.e. for 59,670,598 is 1
LCM of denominators i.e. for 25,30,705 is 7050.
Thus, GCF of Fractions is 1/7050.Finally, GCF of Fractions for 59/25, 670/30, 598/705 is 1/7050.