GCD of 438, 670, 735, 742 Calculator

Given Input numbers are 438, 670, 735, 742

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (438, 670, 735, 742) = 1.

Given numbers are 438, 670, 735, 742

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 670 are 2 x 5 x 67

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 438, 670, 735, 742

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

Apply this formula for all numbers.

Step1:

LCM(438, 670) = 146730

GCD(438, 670) = ( 438 x 670 ) / 146730

= 438 / 670

= 438

Step2:

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

= 2 / 735

= 2

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 438, 670, 735, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 500, 209, 913
• GCD of 847, 664, 660, 139
• GCD of 980, 152, 223, 444
• GCD of 809, 916, 716, 821
• GCD of 320, 473, 529, 348

Given numbers are 438, 670, 735, 742
The greatest common divisor of numbers 438, 670, 735, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 670, 735, 742 is 1.

1. What is the GCD of 438, 670, 735, 742?

GCD of given numbers 438, 670, 735, 742 is 1

2. How to calculate the greatest common divisor of 438, 670, 735, 742?

We can find the highest common divisor of 438, 670, 735, 742 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 438, 670, 735, 742 i.e 1.

3. How can I use the GCD of 438, 670, 735, 742Calculator?

Out the numbers 438, 670, 735, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.