GCD of 200, 354, 676, 434 Calculator

Given Input numbers are 200, 354, 676, 434

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 354 :

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

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

GCD of numbers is the greatest common divisor

So, the GCD (200, 354, 676, 434) = 2.

Given numbers are 200, 354, 676, 434

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 354 are 2 x 3 x 59

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 434 are 2 x 7 x 31

The highest common occurrence is 2¹

Therefore, GCD of 200, 354, 676, 434 is 2.

Given numbers are 200, 354, 676, 434

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

Apply this formula for all numbers.

Step1:

LCM(200, 354) = 35400

GCD(200, 354) = ( 200 x 354 ) / 35400

= 200 / 354

= 200

Step2:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

Step3:

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

= 2 / 434

= 2

So, Greatest Common Divisor of 200, 354, 676, 434 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 225, 160, 965
• GCD of 173, 719, 176, 388
• GCD of 996, 876, 705, 431
• GCD of 396, 608, 896, 374
• GCD of 484, 108, 226, 782

Given numbers are 200, 354, 676, 434
The greatest common divisor of numbers 200, 354, 676, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 354, 676, 434 is 2.

1. What is the GCD of 200, 354, 676, 434?

GCD of given numbers 200, 354, 676, 434 is 2

2. How to calculate the greatest common divisor of 200, 354, 676, 434?

We can find the highest common divisor of 200, 354, 676, 434 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 200, 354, 676, 434 i.e 2.

3. How can I use the GCD of 200, 354, 676, 434Calculator?

Out the numbers 200, 354, 676, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.