GCD of 976, 138, 186, 553 Calculator

Given Input numbers are 976, 138, 186, 553

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

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

GCD of numbers is the greatest common divisor

So, the GCD (976, 138, 186, 553) = 1.

Given numbers are 976, 138, 186, 553

The list of prime factors of all numbers are

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 138 are 2 x 3 x 23

Prime factors of 186 are 2 x 3 x 31

Prime factors of 553 are 7 x 79

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

Given numbers are 976, 138, 186, 553

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

Apply this formula for all numbers.

Step1:

LCM(976, 138) = 67344

GCD(976, 138) = ( 976 x 138 ) / 67344

= 976 / 138

= 976

Step2:

LCM(2, 186) = 186

GCD(2, 186) = ( 2 x 186 ) / 186

= 2 / 186

= 2

Step3:

LCM(2, 553) = 1106

GCD(2, 553) = ( 2 x 553 ) / 1106

= 2 / 553

= 2

So, Greatest Common Divisor of 976, 138, 186, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 540, 627, 293, 314
• GCD of 843, 617, 943, 111
• GCD of 900, 813, 755, 670
• GCD of 899, 235, 562, 331
• GCD of 175, 463, 553, 389

Given numbers are 976, 138, 186, 553
The greatest common divisor of numbers 976, 138, 186, 553 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 138, 186, 553 is 1.

1. What is the GCD of 976, 138, 186, 553?

GCD of given numbers 976, 138, 186, 553 is 1

2. How to calculate the greatest common divisor of 976, 138, 186, 553?

We can find the highest common divisor of 976, 138, 186, 553 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 976, 138, 186, 553 i.e 1.

3. How can I use the GCD of 976, 138, 186, 553Calculator?

Out the numbers 976, 138, 186, 553 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.