GCF of 927/217, 704/350
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 927/217, 704/350 i.e 1/10850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 927/217, 704/350.
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 927/217,704/350?
Given fractions are 927/217,704/350
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 927/217,704/350, numerators are 927,704
Denominators are 217,350
The GCF of 927,704 is 1 .
LCM of 217,350 is 10850.
The greatest common factor of 927/217,704/350 = [GCF of 927,704]/[LCM of 217,350]= 1/10850
Therefore, the GCF of 927/217,704/350 is 1/10850.
To find the highest common factor of 927,704, we have to find the factors of both numbers and list the highest common factor.
The factors of 927 are 1, 3, 9, 103, 309, 927
The factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
The HCF of 927,704 is 1.
Lets's calculate GCF of 927,704
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 927,704 By Matching Biggest Common Factor Method
Now, list down the factors of 927
:1,3,9,103,309,927
Now, list down the factors of 704
:1,2,4,8,11,16,22,32,44,64,88,176,352,704
Greatest Common Factor
We found the factors 927,704 . The biggest common factor number is the GCF number.
So the greatest common factor 927,704 is 1.
Lets's calculate LCM of 217,350
| 7 | 217, 350 |
| 31, 50 |
∴ So the LCM of the given numbers is 7 x 31 x 50 = 10850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10850
Therefore, the GCF of Fractions 927/217,704/350 is 1/10850
Least Common Multiple of 217,350 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 217,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,350) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(217,350) x common factors =7 x 1 = 7
LCM(217,350) = ( 217 × 350 ) / 7
LCM(217,350) = 75950 / 7
LCM(217,350) = 10850
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 927/217, 704/350
1. What is the HCF of 927,704?
The HCF of 927,704 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 927/217, 704/350?
Answer: GCF of Numerators as per given numbers 927/217, 704/350 is
GCF of Numerators i.e. for 927,704 is 1
LCM of denominators i.e. for 217,350 is 10850.
Thus, GCF of Fractions is 1/10850.Finally, GCF of Fractions for 927/217, 704/350 is 1/10850.