GCD of 426, 356, 732, 314 Calculator

Given Input numbers are 426, 356, 732, 314

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

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (426, 356, 732, 314) = 2.

Given numbers are 426, 356, 732, 314

The list of prime factors of all numbers are

Prime factors of 426 are 2 x 3 x 71

Prime factors of 356 are 2 x 2 x 89

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 426, 356, 732, 314 is 2.

Given numbers are 426, 356, 732, 314

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

Apply this formula for all numbers.

Step1:

LCM(426, 356) = 75828

GCD(426, 356) = ( 426 x 356 ) / 75828

= 426 / 356

= 426

Step2:

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

= 2 / 732

= 2

Step3:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

So, Greatest Common Divisor of 426, 356, 732, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 730, 813, 985, 891
• GCD of 378, 454, 791, 799
• GCD of 711, 471, 688, 129
• GCD of 301, 364, 824, 636
• GCD of 187, 251, 505, 697

Given numbers are 426, 356, 732, 314
The greatest common divisor of numbers 426, 356, 732, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 356, 732, 314 is 2.

1. What is the GCD of 426, 356, 732, 314?

GCD of given numbers 426, 356, 732, 314 is 2

2. How to calculate the greatest common divisor of 426, 356, 732, 314?

We can find the highest common divisor of 426, 356, 732, 314 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 426, 356, 732, 314 i.e 2.

3. How can I use the GCD of 426, 356, 732, 314Calculator?

Out the numbers 426, 356, 732, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.