GCD of 902, 106, 642, 749 Calculator

Given Input numbers are 902, 106, 642, 749

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

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (902, 106, 642, 749) = 1.

Given numbers are 902, 106, 642, 749

The list of prime factors of all numbers are

Prime factors of 902 are 2 x 11 x 41

Prime factors of 106 are 2 x 53

Prime factors of 642 are 2 x 3 x 107

Prime factors of 749 are 7 x 107

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

Given numbers are 902, 106, 642, 749

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

Apply this formula for all numbers.

Step1:

LCM(902, 106) = 47806

GCD(902, 106) = ( 902 x 106 ) / 47806

= 902 / 106

= 902

Step2:

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

= 2 / 642

= 2

Step3:

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

= 2 / 749

= 2

So, Greatest Common Divisor of 902, 106, 642, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 739, 574, 197
• GCD of 546, 982, 881, 391
• GCD of 579, 380, 326, 953
• GCD of 895, 666, 674, 296
• GCD of 990, 468, 270, 515

Given numbers are 902, 106, 642, 749
The greatest common divisor of numbers 902, 106, 642, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 106, 642, 749 is 1.

1. What is the GCD of 902, 106, 642, 749?

GCD of given numbers 902, 106, 642, 749 is 1

2. How to calculate the greatest common divisor of 902, 106, 642, 749?

We can find the highest common divisor of 902, 106, 642, 749 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 902, 106, 642, 749 i.e 1.

3. How can I use the GCD of 902, 106, 642, 749Calculator?

Out the numbers 902, 106, 642, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.