GCD of 105, 696, 716, 952 Calculator

Given Input numbers are 105, 696, 716, 952

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

GCD of numbers is the greatest common divisor

So, the GCD (105, 696, 716, 952) = 1.

Given numbers are 105, 696, 716, 952

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 716 are 2 x 2 x 179

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

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

Given numbers are 105, 696, 716, 952

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

Apply this formula for all numbers.

Step1:

LCM(105, 696) = 24360

GCD(105, 696) = ( 105 x 696 ) / 24360

= 105 / 696

= 105

Step2:

LCM(3, 716) = 2148

GCD(3, 716) = ( 3 x 716 ) / 2148

= 3 / 716

= 3

Step3:

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

= 1 / 952

= 1

So, Greatest Common Divisor of 105, 696, 716, 952 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 659, 639, 413, 752
• GCD of 434, 772, 230, 549
• GCD of 590, 512, 414, 171
• GCD of 601, 940, 783, 244
• GCD of 728, 128, 202, 140

Given numbers are 105, 696, 716, 952
The greatest common divisor of numbers 105, 696, 716, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 696, 716, 952 is 1.

1. What is the GCD of 105, 696, 716, 952?

GCD of given numbers 105, 696, 716, 952 is 1

2. How to calculate the greatest common divisor of 105, 696, 716, 952?

We can find the highest common divisor of 105, 696, 716, 952 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 105, 696, 716, 952 i.e 1.

3. How can I use the GCD of 105, 696, 716, 952Calculator?

Out the numbers 105, 696, 716, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.