GCD of 734, 146, 156, 674 Calculator

Given Input numbers are 734, 146, 156, 674

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (734, 146, 156, 674) = 2.

Given numbers are 734, 146, 156, 674

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 146 are 2 x 73

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 674 are 2 x 337

The highest common occurrence is 2¹

Therefore, GCD of 734, 146, 156, 674 is 2.

Given numbers are 734, 146, 156, 674

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

Apply this formula for all numbers.

Step1:

LCM(734, 146) = 53582

GCD(734, 146) = ( 734 x 146 ) / 53582

= 734 / 146

= 734

Step2:

LCM(2, 156) = 156

GCD(2, 156) = ( 2 x 156 ) / 156

= 2 / 156

= 2

Step3:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

So, Greatest Common Divisor of 734, 146, 156, 674 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 977, 234, 141
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• GCD of 962, 831, 473, 536
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• GCD of 358, 603, 170, 983

Given numbers are 734, 146, 156, 674
The greatest common divisor of numbers 734, 146, 156, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 146, 156, 674 is 2.

1. What is the GCD of 734, 146, 156, 674?

GCD of given numbers 734, 146, 156, 674 is 2

2. How to calculate the greatest common divisor of 734, 146, 156, 674?

We can find the highest common divisor of 734, 146, 156, 674 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 734, 146, 156, 674 i.e 2.

3. How can I use the GCD of 734, 146, 156, 674Calculator?

Out the numbers 734, 146, 156, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.