GCD of 315, 435, 678, 116 Calculator

Given Input numbers are 315, 435, 678, 116

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (315, 435, 678, 116) = 1.

Given numbers are 315, 435, 678, 116

The list of prime factors of all numbers are

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 435 are 3 x 5 x 29

Prime factors of 678 are 2 x 3 x 113

Prime factors of 116 are 2 x 2 x 29

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

Given numbers are 315, 435, 678, 116

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

Apply this formula for all numbers.

Step1:

LCM(315, 435) = 9135

GCD(315, 435) = ( 315 x 435 ) / 9135

= 315 / 435

= 315

Step2:

LCM(15, 678) = 3390

GCD(15, 678) = ( 15 x 678 ) / 3390

= 15 / 678

= 15

Step3:

LCM(3, 116) = 348

GCD(3, 116) = ( 3 x 116 ) / 348

= 3 / 116

= 3

So, Greatest Common Divisor of 315, 435, 678, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 689, 492, 927
• GCD of 692, 992, 694, 463
• GCD of 185, 994, 149, 198
• GCD of 916, 583, 534, 489
• GCD of 471, 871, 244, 668

Given numbers are 315, 435, 678, 116
The greatest common divisor of numbers 315, 435, 678, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 435, 678, 116 is 1.

1. What is the GCD of 315, 435, 678, 116?

GCD of given numbers 315, 435, 678, 116 is 1

2. How to calculate the greatest common divisor of 315, 435, 678, 116?

We can find the highest common divisor of 315, 435, 678, 116 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 315, 435, 678, 116 i.e 1.

3. How can I use the GCD of 315, 435, 678, 116Calculator?

Out the numbers 315, 435, 678, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.