GCD of 354, 550, 470, 674 Calculator

Given Input numbers are 354, 550, 470, 674

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

Divisors of 354 :

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

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

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

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 (354, 550, 470, 674) = 2.

Given numbers are 354, 550, 470, 674

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 470 are 2 x 5 x 47

Prime factors of 674 are 2 x 337

The highest common occurrence is 2¹

Therefore, GCD of 354, 550, 470, 674 is 2.

Given numbers are 354, 550, 470, 674

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

Apply this formula for all numbers.

Step1:

LCM(354, 550) = 97350

GCD(354, 550) = ( 354 x 550 ) / 97350

= 354 / 550

= 354

Step2:

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

= 2 / 470

= 2

Step3:

LCM(2, 674) = 674

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

= 2 / 674

= 2

So, Greatest Common Divisor of 354, 550, 470, 674 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 125, 352, 405
• GCD of 531, 195, 842, 627
• GCD of 927, 766, 814, 116
• GCD of 744, 729, 697, 575
• GCD of 732, 921, 840, 340

Given numbers are 354, 550, 470, 674
The greatest common divisor of numbers 354, 550, 470, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 550, 470, 674 is 2.

1. What is the GCD of 354, 550, 470, 674?

GCD of given numbers 354, 550, 470, 674 is 2

2. How to calculate the greatest common divisor of 354, 550, 470, 674?

We can find the highest common divisor of 354, 550, 470, 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 354, 550, 470, 674 i.e 2.

3. How can I use the GCD of 354, 550, 470, 674Calculator?

Out the numbers 354, 550, 470, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.