Online GCD Calculator is useful to find the GCD of 821, 689, 749, 753 quickly. Get the easiest ways to solve the greatest common divisor of 821, 689, 749, 753 i.e 1 in different methods as follows.
Given Input numbers are 821, 689, 749, 753
In the factoring method, we have to find the divisors of all numbers
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
GCD of numbers is the greatest common divisor
So, the GCD (821, 689, 749, 753) = 1.
Given numbers are 821, 689, 749, 753
The list of prime factors of all numbers are
Prime factors of 821 are 821
Prime factors of 689 are 13 x 53
Prime factors of 749 are 7 x 107
Prime factors of 753 are 3 x 251
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 821, 689, 749, 753
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(821, 689) = 565669
GCD(821, 689) = ( 821 x 689 ) / 565669
= 821 / 689
= 821
Step2:
LCM(1, 749) = 749
GCD(1, 749) = ( 1 x 749 ) / 749
= 1 / 749
= 1
Step3:
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
= 1 / 753
= 1
So, Greatest Common Divisor of 821, 689, 749, 753 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 821, 689, 749, 753
The greatest common divisor of numbers 821, 689, 749, 753 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 689, 749, 753 is 1.
1. What is the GCD of 821, 689, 749, 753?
GCD of given numbers 821, 689, 749, 753 is 1
2. How to calculate the greatest common divisor of 821, 689, 749, 753?
We can find the highest common divisor of 821, 689, 749, 753 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 821, 689, 749, 753 i.e 1.
3. How can I use the GCD of 821, 689, 749, 753Calculator?
Out the numbers 821, 689, 749, 753 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.