GCD of 105, 364, 988, 526 Calculator

Given Input numbers are 105, 364, 988, 526

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 526 :

The positive integer divisors of 526 that completely divides 526 are.

1, 2, 263, 526

GCD of numbers is the greatest common divisor

So, the GCD (105, 364, 988, 526) = 1.

Given numbers are 105, 364, 988, 526

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 526 are 2 x 263

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

Given numbers are 105, 364, 988, 526

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

Apply this formula for all numbers.

Step1:

LCM(105, 364) = 5460

GCD(105, 364) = ( 105 x 364 ) / 5460

= 105 / 364

= 105

Step2:

LCM(7, 988) = 6916

GCD(7, 988) = ( 7 x 988 ) / 6916

= 7 / 988

= 7

Step3:

LCM(1, 526) = 526

GCD(1, 526) = ( 1 x 526 ) / 526

= 1 / 526

= 1

So, Greatest Common Divisor of 105, 364, 988, 526 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 787, 241, 544
• GCD of 673, 490, 328, 370
• GCD of 359, 681, 217, 383
• GCD of 528, 423, 166, 127
• GCD of 463, 153, 977, 552

Given numbers are 105, 364, 988, 526
The greatest common divisor of numbers 105, 364, 988, 526 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 364, 988, 526 is 1.

1. What is the GCD of 105, 364, 988, 526?

GCD of given numbers 105, 364, 988, 526 is 1

2. How to calculate the greatest common divisor of 105, 364, 988, 526?

We can find the highest common divisor of 105, 364, 988, 526 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, 364, 988, 526 i.e 1.

3. How can I use the GCD of 105, 364, 988, 526Calculator?

Out the numbers 105, 364, 988, 526 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.