Online GCD Calculator is useful to find the GCD of 420, 755, 915, 414 quickly. Get the easiest ways to solve the greatest common divisor of 420, 755, 915, 414 i.e 1 in different methods as follows.
Given Input numbers are 420, 755, 915, 414
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 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 915 :
The positive integer divisors of 915 that completely divides 915 are.
1, 3, 5, 15, 61, 183, 305, 915
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
GCD of numbers is the greatest common divisor
So, the GCD (420, 755, 915, 414) = 1.
Given numbers are 420, 755, 915, 414
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 755 are 5 x 151
Prime factors of 915 are 3 x 5 x 61
Prime factors of 414 are 2 x 3 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 755, 915, 414
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 755) = 63420
GCD(420, 755) = ( 420 x 755 ) / 63420
= 420 / 755
= 420
Step2:
LCM(5, 915) = 915
GCD(5, 915) = ( 5 x 915 ) / 915
= 5 / 915
= 5
Step3:
LCM(5, 414) = 2070
GCD(5, 414) = ( 5 x 414 ) / 2070
= 5 / 414
= 5
So, Greatest Common Divisor of 420, 755, 915, 414 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 755, 915, 414
The greatest common divisor of numbers 420, 755, 915, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 755, 915, 414 is 1.
1. What is the GCD of 420, 755, 915, 414?
GCD of given numbers 420, 755, 915, 414 is 1
2. How to calculate the greatest common divisor of 420, 755, 915, 414?
We can find the highest common divisor of 420, 755, 915, 414 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, 755, 915, 414 i.e 1.
3. How can I use the GCD of 420, 755, 915, 414Calculator?
Out the numbers 420, 755, 915, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.