GCD of 994, 731, 649, 507 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 994, 731, 649, 507 quickly. Get the easiest ways to solve the greatest common divisor of 994, 731, 649, 507 i.e 1 in different methods as follows.
Given Input numbers are 994, 731, 649, 507
In the factoring method, we have to find the divisors of all numbers
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
GCD of numbers is the greatest common divisor
So, the GCD (994, 731, 649, 507) = 1.
Given numbers are 994, 731, 649, 507
The list of prime factors of all numbers are
Prime factors of 994 are 2 x 7 x 71
Prime factors of 731 are 17 x 43
Prime factors of 649 are 11 x 59
Prime factors of 507 are 3 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 994, 731, 649, 507 using LCM Formula
Given numbers are 994, 731, 649, 507
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(994, 731) = 726614
GCD(994, 731) = ( 994 x 731 ) / 726614
= 994 / 731
= 994
Step2:
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
= 1 / 649
= 1
Step3:
LCM(1, 507) = 507
GCD(1, 507) = ( 1 x 507 ) / 507
= 1 / 507
= 1
So, Greatest Common Divisor of 994, 731, 649, 507 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 994, 731, 649, 507
Given numbers are 994, 731, 649, 507
The greatest common divisor of numbers 994, 731, 649, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 731, 649, 507 is 1.
FAQs on GCD of 994, 731, 649, 507 Calculator
1. What is the GCD of 994, 731, 649, 507?
GCD of given numbers 994, 731, 649, 507 is 1
2. How to calculate the greatest common divisor of 994, 731, 649, 507?
We can find the highest common divisor of 994, 731, 649, 507 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 994, 731, 649, 507 i.e 1.
3. How can I use the GCD of 994, 731, 649, 507Calculator?
Out the numbers 994, 731, 649, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.