GCD of 350, 704, 554, 452 Calculator

Given Input numbers are 350, 704, 554, 452

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

GCD of numbers is the greatest common divisor

So, the GCD (350, 704, 554, 452) = 2.

Given numbers are 350, 704, 554, 452

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 554 are 2 x 277

Prime factors of 452 are 2 x 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 350, 704, 554, 452 is 2.

Given numbers are 350, 704, 554, 452

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

Apply this formula for all numbers.

Step1:

LCM(350, 704) = 123200

GCD(350, 704) = ( 350 x 704 ) / 123200

= 350 / 704

= 350

Step2:

LCM(2, 554) = 554

GCD(2, 554) = ( 2 x 554 ) / 554

= 2 / 554

= 2

Step3:

LCM(2, 452) = 452

GCD(2, 452) = ( 2 x 452 ) / 452

= 2 / 452

= 2

So, Greatest Common Divisor of 350, 704, 554, 452 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 570, 995, 223, 704
• GCD of 882, 947, 747, 754
• GCD of 567, 538, 216, 964
• GCD of 608, 424, 875, 538
• GCD of 495, 214, 411, 364

Given numbers are 350, 704, 554, 452
The greatest common divisor of numbers 350, 704, 554, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 704, 554, 452 is 2.

1. What is the GCD of 350, 704, 554, 452?

GCD of given numbers 350, 704, 554, 452 is 2

2. How to calculate the greatest common divisor of 350, 704, 554, 452?

We can find the highest common divisor of 350, 704, 554, 452 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 350, 704, 554, 452 i.e 2.

3. How can I use the GCD of 350, 704, 554, 452Calculator?

Out the numbers 350, 704, 554, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.