GCF of 913/217, 343/875, 594/350
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 913/217, 343/875, 594/350 i.e 1/54250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 913/217, 343/875, 594/350.
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 913/217,343/875,594/350?
Given fractions are 913/217,343/875,594/350
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 913/217,343/875,594/350, numerators are 913,343,594
Denominators are 217,875,350
The GCF of 913,343,594 is 1 .
LCM of 217,875,350 is 54250.
The greatest common factor of 913/217,343/875,594/350 = [GCF of 913,343,594]/[LCM of 217,875,350]= 1/54250
Therefore, the GCF of 913/217,343/875,594/350 is 1/54250.
To find the highest common factor of 913,343,594, we have to find the factors of both numbers and list the highest common factor.
The factors of 913 are 1, 11, 83, 913
The factors of 343 are 1, 7, 49, 343
The factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
The HCF of 913,343,594 is 1.
Lets's calculate GCF of 913,343,594
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 913,343,594 By Matching Biggest Common Factor Method
Now, list down the factors of 913
:1,11,83,913
Now, list down the factors of 343
:1,7,49,343
Now, list down the factors of 594
:1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Greatest Common Factor
We found the factors 913,343,594 . The biggest common factor number is the GCF number.
So the greatest common factor 913,343,594 is 1.
Lets's calculate LCM of 217,875,350
| 5 | 217, 875, 350 |
| 5 | 217, 175, 70 |
| 7 | 217, 35, 14 |
| 31, 5, 2 |
∴ So the LCM of the given numbers is 5 x 5 x 7 x 31 x 5 x 2 = 54250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54250
Therefore, the GCF of Fractions 913/217,343/875,594/350 is 1/54250
Least Common Multiple of 217,875,350 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 217,875,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,875,350) = 7
common factors(in case of two or more numbers have common factors) = 175
GCF(217,875,350) x common factors =7 x 175 = 1225
LCM(217,875,350) = ( 217 × 875 × 350 ) / 1225
LCM(217,875,350) = 66456250 / 1225
LCM(217,875,350) = 54250
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 913/217, 343/875, 594/350
1. What is the HCF of 913,343,594?
The HCF of 913,343,594 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 913/217, 343/875, 594/350?
Answer: GCF of Numerators as per given numbers 913/217, 343/875, 594/350 is
GCF of Numerators i.e. for 913,343,594 is 1
LCM of denominators i.e. for 217,875,350 is 54250.
Thus, GCF of Fractions is 1/54250.Finally, GCF of Fractions for 913/217, 343/875, 594/350 is 1/54250.