GCD of 110, 660, 358, 952 Calculator

Given Input numbers are 110, 660, 358, 952

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

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

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 (110, 660, 358, 952) = 2.

Given numbers are 110, 660, 358, 952

The list of prime factors of all numbers are

Prime factors of 110 are 2 x 5 x 11

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 358 are 2 x 179

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

The highest common occurrence is 2¹

Therefore, GCD of 110, 660, 358, 952 is 2.

Given numbers are 110, 660, 358, 952

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

Apply this formula for all numbers.

Step1:

LCM(110, 660) = 660

GCD(110, 660) = ( 110 x 660 ) / 660

= 110 / 660

= 110

Step2:

LCM(110, 358) = 19690

GCD(110, 358) = ( 110 x 358 ) / 19690

= 110 / 358

= 110

Step3:

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

= 2 / 952

= 2

So, Greatest Common Divisor of 110, 660, 358, 952 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 542, 217, 322
• GCD of 512, 472, 298, 624
• GCD of 747, 489, 952, 756
• GCD of 527, 577, 767, 605
• GCD of 362, 514, 766, 859

Given numbers are 110, 660, 358, 952
The greatest common divisor of numbers 110, 660, 358, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 110, 660, 358, 952 is 2.

1. What is the GCD of 110, 660, 358, 952?

GCD of given numbers 110, 660, 358, 952 is 2

2. How to calculate the greatest common divisor of 110, 660, 358, 952?

We can find the highest common divisor of 110, 660, 358, 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 110, 660, 358, 952 i.e 2.

3. How can I use the GCD of 110, 660, 358, 952Calculator?

Out the numbers 110, 660, 358, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.