GCD of 370, 358, 724, 354 Calculator

Given Input numbers are 370, 358, 724, 354

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (370, 358, 724, 354) = 2.

Given numbers are 370, 358, 724, 354

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 358 are 2 x 179

Prime factors of 724 are 2 x 2 x 181

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 370, 358, 724, 354 is 2.

Given numbers are 370, 358, 724, 354

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

Apply this formula for all numbers.

Step1:

LCM(370, 358) = 66230

GCD(370, 358) = ( 370 x 358 ) / 66230

= 370 / 358

= 370

Step2:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

Step3:

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

= 2 / 354

= 2

So, Greatest Common Divisor of 370, 358, 724, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 420, 890, 498
• GCD of 399, 252, 481, 598
• GCD of 819, 222, 899, 386
• GCD of 396, 283, 128, 761
• GCD of 920, 793, 341, 534

Given numbers are 370, 358, 724, 354
The greatest common divisor of numbers 370, 358, 724, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 358, 724, 354 is 2.

1. What is the GCD of 370, 358, 724, 354?

GCD of given numbers 370, 358, 724, 354 is 2

2. How to calculate the greatest common divisor of 370, 358, 724, 354?

We can find the highest common divisor of 370, 358, 724, 354 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 370, 358, 724, 354 i.e 2.

3. How can I use the GCD of 370, 358, 724, 354Calculator?

Out the numbers 370, 358, 724, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.