Online GCD Calculator is useful to find the GCD of 420, 676, 415, 968 quickly. Get the easiest ways to solve the greatest common divisor of 420, 676, 415, 968 i.e 1 in different methods as follows.
Given Input numbers are 420, 676, 415, 968
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 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 415 :
The positive integer divisors of 415 that completely divides 415 are.
1, 5, 83, 415
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
GCD of numbers is the greatest common divisor
So, the GCD (420, 676, 415, 968) = 1.
Given numbers are 420, 676, 415, 968
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 676 are 2 x 2 x 13 x 13
Prime factors of 415 are 5 x 83
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 676, 415, 968
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 676) = 70980
GCD(420, 676) = ( 420 x 676 ) / 70980
= 420 / 676
= 420
Step2:
LCM(4, 415) = 1660
GCD(4, 415) = ( 4 x 415 ) / 1660
= 4 / 415
= 4
Step3:
LCM(1, 968) = 968
GCD(1, 968) = ( 1 x 968 ) / 968
= 1 / 968
= 1
So, Greatest Common Divisor of 420, 676, 415, 968 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 676, 415, 968
The greatest common divisor of numbers 420, 676, 415, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 676, 415, 968 is 1.
1. What is the GCD of 420, 676, 415, 968?
GCD of given numbers 420, 676, 415, 968 is 1
2. How to calculate the greatest common divisor of 420, 676, 415, 968?
We can find the highest common divisor of 420, 676, 415, 968 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, 676, 415, 968 i.e 1.
3. How can I use the GCD of 420, 676, 415, 968Calculator?
Out the numbers 420, 676, 415, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.