GCD of 490, 499, 105, 737 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 490, 499, 105, 737 quickly. Get the easiest ways to solve the greatest common divisor of 490, 499, 105, 737 i.e 1 in different methods as follows.
Given Input numbers are 490, 499, 105, 737
In the factoring method, we have to find the divisors of all numbers
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 499 :
The positive integer divisors of 499 that completely divides 499 are.
1, 499
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 737 :
The positive integer divisors of 737 that completely divides 737 are.
1, 11, 67, 737
GCD of numbers is the greatest common divisor
So, the GCD (490, 499, 105, 737) = 1.
Given numbers are 490, 499, 105, 737
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 499 are 499
Prime factors of 105 are 3 x 5 x 7
Prime factors of 737 are 11 x 67
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 490, 499, 105, 737 using LCM Formula
Given numbers are 490, 499, 105, 737
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 499) = 244510
GCD(490, 499) = ( 490 x 499 ) / 244510
= 490 / 499
= 490
Step2:
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
= 1 / 105
= 1
Step3:
LCM(1, 737) = 737
GCD(1, 737) = ( 1 x 737 ) / 737
= 1 / 737
= 1
So, Greatest Common Divisor of 490, 499, 105, 737 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 490, 499, 105, 737
Given numbers are 490, 499, 105, 737
The greatest common divisor of numbers 490, 499, 105, 737 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 499, 105, 737 is 1.
FAQs on GCD of 490, 499, 105, 737 Calculator
1. What is the GCD of 490, 499, 105, 737?
GCD of given numbers 490, 499, 105, 737 is 1
2. How to calculate the greatest common divisor of 490, 499, 105, 737?
We can find the highest common divisor of 490, 499, 105, 737 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 490, 499, 105, 737 i.e 1.
3. How can I use the GCD of 490, 499, 105, 737Calculator?
Out the numbers 490, 499, 105, 737 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.