Online GCD Calculator is useful to find the GCD of 420, 507, 889, 698 quickly. Get the easiest ways to solve the greatest common divisor of 420, 507, 889, 698 i.e 1 in different methods as follows.
Given Input numbers are 420, 507, 889, 698
In the factoring method, we have to find the divisors of all numbers
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
Divisors of 889 :
The positive integer divisors of 889 that completely divides 889 are.
1, 7, 127, 889
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
GCD of numbers is the greatest common divisor
So, the GCD (420, 507, 889, 698) = 1.
Given numbers are 420, 507, 889, 698
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 507 are 3 x 13 x 13
Prime factors of 889 are 7 x 127
Prime factors of 698 are 2 x 349
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 507, 889, 698
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 507) = 70980
GCD(420, 507) = ( 420 x 507 ) / 70980
= 420 / 507
= 420
Step2:
LCM(3, 889) = 2667
GCD(3, 889) = ( 3 x 889 ) / 2667
= 3 / 889
= 3
Step3:
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
= 1 / 698
= 1
So, Greatest Common Divisor of 420, 507, 889, 698 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 507, 889, 698
The greatest common divisor of numbers 420, 507, 889, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 507, 889, 698 is 1.
1. What is the GCD of 420, 507, 889, 698?
GCD of given numbers 420, 507, 889, 698 is 1
2. How to calculate the greatest common divisor of 420, 507, 889, 698?
We can find the highest common divisor of 420, 507, 889, 698 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 420, 507, 889, 698 i.e 1.
3. How can I use the GCD of 420, 507, 889, 698Calculator?
Out the numbers 420, 507, 889, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.