GCD of 342, 896, 661, 400 Calculator

Given Input numbers are 342, 896, 661, 400

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 661 :

The positive integer divisors of 661 that completely divides 661 are.

1, 661

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (342, 896, 661, 400) = 1.

Given numbers are 342, 896, 661, 400

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 661 are 661

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 342, 896, 661, 400

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

Apply this formula for all numbers.

Step1:

LCM(342, 896) = 153216

GCD(342, 896) = ( 342 x 896 ) / 153216

= 342 / 896

= 342

Step2:

LCM(2, 661) = 1322

GCD(2, 661) = ( 2 x 661 ) / 1322

= 2 / 661

= 2

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 342, 896, 661, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 280, 956, 659
• GCD of 832, 971, 588, 371
• GCD of 645, 807, 235, 137
• GCD of 535, 812, 948, 428
• GCD of 157, 368, 523, 740

Given numbers are 342, 896, 661, 400
The greatest common divisor of numbers 342, 896, 661, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 896, 661, 400 is 1.

1. What is the GCD of 342, 896, 661, 400?

GCD of given numbers 342, 896, 661, 400 is 1

2. How to calculate the greatest common divisor of 342, 896, 661, 400?

We can find the highest common divisor of 342, 896, 661, 400 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 342, 896, 661, 400 i.e 1.

3. How can I use the GCD of 342, 896, 661, 400Calculator?

Out the numbers 342, 896, 661, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.