GCD of 360, 712, 99, 416 Calculator

Given Input numbers are 360, 712, 99, 416

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 712 :

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

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

Divisors of 99 :

The positive integer divisors of 99 that completely divides 99 are.

1, 3, 9, 11, 33, 99

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

GCD of numbers is the greatest common divisor

So, the GCD (360, 712, 99, 416) = 1.

Given numbers are 360, 712, 99, 416

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Prime factors of 99 are 3 x 3 x 11

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

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

Given numbers are 360, 712, 99, 416

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

Apply this formula for all numbers.

Step1:

LCM(360, 712) = 32040

GCD(360, 712) = ( 360 x 712 ) / 32040

= 360 / 712

= 360

Step2:

LCM(8, 99) = 792

GCD(8, 99) = ( 8 x 99 ) / 792

= 8 / 99

= 8

Step3:

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

= 1 / 416

= 1

So, Greatest Common Divisor of 360, 712, 99, 416 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 157, 65, 943
• GCD of 563, 225, 21, 233
• GCD of 423, 454, 52, 112
• GCD of 663, 103, 79, 848
• GCD of 931, 306, 30, 328

Given numbers are 360, 712, 99, 416
The greatest common divisor of numbers 360, 712, 99, 416 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 712, 99, 416 is 1.

1. What is the GCD of 360, 712, 99, 416?

GCD of given numbers 360, 712, 99, 416 is 1

2. How to calculate the greatest common divisor of 360, 712, 99, 416?

We can find the highest common divisor of 360, 712, 99, 416 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 360, 712, 99, 416 i.e 1.

3. How can I use the GCD of 360, 712, 99, 416Calculator?

Out the numbers 360, 712, 99, 416 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.