GCD of 945, 365, 420, 712 Calculator

Given Input numbers are 945, 365, 420, 712

In the factoring method, we have to find the divisors of all numbers

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

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 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

GCD of numbers is the greatest common divisor

So, the GCD (945, 365, 420, 712) = 1.

Given numbers are 945, 365, 420, 712

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 365 are 5 x 73

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 712 are 2 x 2 x 2 x 89

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 945, 365, 420, 712

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(945, 365) = 68985

GCD(945, 365) = ( 945 x 365 ) / 68985

= 945 / 365

= 945

Step2:

LCM(5, 420) = 420

GCD(5, 420) = ( 5 x 420 ) / 420

= 5 / 420

= 5

Step3:

LCM(5, 712) = 3560

GCD(5, 712) = ( 5 x 712 ) / 3560

= 5 / 712

= 5

So, Greatest Common Divisor of 945, 365, 420, 712 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 934, 553, 145, 499
• GCD of 195, 459, 586, 725
• GCD of 592, 830, 965, 234
• GCD of 584, 271, 210, 456
• GCD of 421, 924, 161, 934

Given numbers are 945, 365, 420, 712
The greatest common divisor of numbers 945, 365, 420, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 365, 420, 712 is 1.

1. What is the GCD of 945, 365, 420, 712?

GCD of given numbers 945, 365, 420, 712 is 1

2. How to calculate the greatest common divisor of 945, 365, 420, 712?

We can find the highest common divisor of 945, 365, 420, 712 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 945, 365, 420, 712 i.e 1.

3. How can I use the GCD of 945, 365, 420, 712Calculator?

Out the numbers 945, 365, 420, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.