GCD of 435, 738, 987, 106 Calculator

Given Input numbers are 435, 738, 987, 106

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

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 106 :

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

1, 2, 53, 106

GCD of numbers is the greatest common divisor

So, the GCD (435, 738, 987, 106) = 1.

Given numbers are 435, 738, 987, 106

The list of prime factors of all numbers are

Prime factors of 435 are 3 x 5 x 29

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 987 are 3 x 7 x 47

Prime factors of 106 are 2 x 53

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

Given numbers are 435, 738, 987, 106

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

Apply this formula for all numbers.

Step1:

LCM(435, 738) = 107010

GCD(435, 738) = ( 435 x 738 ) / 107010

= 435 / 738

= 435

Step2:

LCM(3, 987) = 987

GCD(3, 987) = ( 3 x 987 ) / 987

= 3 / 987

= 3

Step3:

LCM(3, 106) = 318

GCD(3, 106) = ( 3 x 106 ) / 318

= 3 / 106

= 3

So, Greatest Common Divisor of 435, 738, 987, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 199, 722, 634
• GCD of 174, 612, 703, 177
• GCD of 307, 214, 600, 445
• GCD of 247, 686, 853, 612
• GCD of 148, 605, 135, 430

Given numbers are 435, 738, 987, 106
The greatest common divisor of numbers 435, 738, 987, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 435, 738, 987, 106 is 1.

1. What is the GCD of 435, 738, 987, 106?

GCD of given numbers 435, 738, 987, 106 is 1

2. How to calculate the greatest common divisor of 435, 738, 987, 106?

We can find the highest common divisor of 435, 738, 987, 106 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 435, 738, 987, 106 i.e 1.

3. How can I use the GCD of 435, 738, 987, 106Calculator?

Out the numbers 435, 738, 987, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.