GCD of 655, 100, 560, 338 Calculator

Given Input numbers are 655, 100, 560, 338

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

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (655, 100, 560, 338) = 1.

Given numbers are 655, 100, 560, 338

The list of prime factors of all numbers are

Prime factors of 655 are 5 x 131

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 338 are 2 x 13 x 13

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

Given numbers are 655, 100, 560, 338

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

Apply this formula for all numbers.

Step1:

LCM(655, 100) = 13100

GCD(655, 100) = ( 655 x 100 ) / 13100

= 655 / 100

= 655

Step2:

LCM(5, 560) = 560

GCD(5, 560) = ( 5 x 560 ) / 560

= 5 / 560

= 5

Step3:

LCM(5, 338) = 1690

GCD(5, 338) = ( 5 x 338 ) / 1690

= 5 / 338

= 5

So, Greatest Common Divisor of 655, 100, 560, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 793, 616, 485
• GCD of 936, 847, 386, 718
• GCD of 327, 360, 402, 691
• GCD of 610, 240, 900, 586
• GCD of 715, 792, 729, 319

Given numbers are 655, 100, 560, 338
The greatest common divisor of numbers 655, 100, 560, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 655, 100, 560, 338 is 1.

1. What is the GCD of 655, 100, 560, 338?

GCD of given numbers 655, 100, 560, 338 is 1

2. How to calculate the greatest common divisor of 655, 100, 560, 338?

We can find the highest common divisor of 655, 100, 560, 338 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 655, 100, 560, 338 i.e 1.

3. How can I use the GCD of 655, 100, 560, 338Calculator?

Out the numbers 655, 100, 560, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.