GCF of 935/18, 486/977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 935/18, 486/977 i.e 1/17586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 935/18, 486/977.
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 935/18,486/977?
Given fractions are 935/18,486/977
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 935/18,486/977, numerators are 935,486
Denominators are 18,977
The GCF of 935,486 is 1 .
LCM of 18,977 is 17586.
The greatest common factor of 935/18,486/977 = [GCF of 935,486]/[LCM of 18,977]= 1/17586
Therefore, the GCF of 935/18,486/977 is 1/17586.
To find the highest common factor of 935,486, we have to find the factors of both numbers and list the highest common factor.
The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935
The factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
The HCF of 935,486 is 1.
Lets's calculate GCF of 935,486
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 935,486 By Matching Biggest Common Factor Method
Now, list down the factors of 935
:1,5,11,17,55,85,187,935
Now, list down the factors of 486
:1,2,3,6,9,18,27,54,81,162,243,486
Greatest Common Factor
We found the factors 935,486 . The biggest common factor number is the GCF number.
So the greatest common factor 935,486 is 1.
Lets's calculate LCM of 18,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 17586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17586
Therefore, the GCF of Fractions 935/18,486/977 is 1/17586
Least Common Multiple of 18,977 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 18,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,977) x common factors =1 x 1 = 1
LCM(18,977) = ( 18 × 977 ) / 1
LCM(18,977) = 17586 / 1
LCM(18,977) = 17586
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 935/18, 486/977
1. What is the HCF of 935,486?
The HCF of 935,486 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 935/18, 486/977?
Answer: GCF of Numerators as per given numbers 935/18, 486/977 is
GCF of Numerators i.e. for 935,486 is 1
LCM of denominators i.e. for 18,977 is 17586.
Thus, GCF of Fractions is 1/17586.Finally, GCF of Fractions for 935/18, 486/977 is 1/17586.