Online GCD Calculator is useful to find the GCD of 959, 746, 742, 420 quickly. Get the easiest ways to solve the greatest common divisor of 959, 746, 742, 420 i.e 1 in different methods as follows.
Given Input numbers are 959, 746, 742, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 959 :
The positive integer divisors of 959 that completely divides 959 are.
1, 7, 137, 959
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
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
GCD of numbers is the greatest common divisor
So, the GCD (959, 746, 742, 420) = 1.
Given numbers are 959, 746, 742, 420
The list of prime factors of all numbers are
Prime factors of 959 are 7 x 137
Prime factors of 746 are 2 x 373
Prime factors of 742 are 2 x 7 x 53
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 959, 746, 742, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(959, 746) = 715414
GCD(959, 746) = ( 959 x 746 ) / 715414
= 959 / 746
= 959
Step2:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 959, 746, 742, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 959, 746, 742, 420
The greatest common divisor of numbers 959, 746, 742, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 959, 746, 742, 420 is 1.
1. What is the GCD of 959, 746, 742, 420?
GCD of given numbers 959, 746, 742, 420 is 1
2. How to calculate the greatest common divisor of 959, 746, 742, 420?
We can find the highest common divisor of 959, 746, 742, 420 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 959, 746, 742, 420 i.e 1.
3. How can I use the GCD of 959, 746, 742, 420Calculator?
Out the numbers 959, 746, 742, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.