GCD of 434, 746, 342, 738 Calculator

Given Input numbers are 434, 746, 342, 738

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

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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

GCD of numbers is the greatest common divisor

So, the GCD (434, 746, 342, 738) = 2.

Given numbers are 434, 746, 342, 738

The list of prime factors of all numbers are

Prime factors of 434 are 2 x 7 x 31

Prime factors of 746 are 2 x 373

Prime factors of 342 are 2 x 3 x 3 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 434, 746, 342, 738 is 2.

Given numbers are 434, 746, 342, 738

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

Apply this formula for all numbers.

Step1:

LCM(434, 746) = 161882

GCD(434, 746) = ( 434 x 746 ) / 161882

= 434 / 746

= 434

Step2:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

Step3:

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

= 2 / 738

= 2

So, Greatest Common Divisor of 434, 746, 342, 738 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 140, 547, 126
• GCD of 955, 436, 518, 668
• GCD of 508, 582, 641, 288
• GCD of 480, 262, 151, 600
• GCD of 482, 377, 402, 788

Given numbers are 434, 746, 342, 738
The greatest common divisor of numbers 434, 746, 342, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 746, 342, 738 is 2.

1. What is the GCD of 434, 746, 342, 738?

GCD of given numbers 434, 746, 342, 738 is 2

2. How to calculate the greatest common divisor of 434, 746, 342, 738?

We can find the highest common divisor of 434, 746, 342, 738 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 434, 746, 342, 738 i.e 2.

3. How can I use the GCD of 434, 746, 342, 738Calculator?

Out the numbers 434, 746, 342, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.