GCD of 687, 920, 135, 196 Calculator

Given Input numbers are 687, 920, 135, 196

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

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

GCD of numbers is the greatest common divisor

So, the GCD (687, 920, 135, 196) = 1.

Given numbers are 687, 920, 135, 196

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 196 are 2 x 2 x 7 x 7

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

Given numbers are 687, 920, 135, 196

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

Apply this formula for all numbers.

Step1:

LCM(687, 920) = 632040

GCD(687, 920) = ( 687 x 920 ) / 632040

= 687 / 920

= 687

Step2:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1

Step3:

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

= 1 / 196

= 1

So, Greatest Common Divisor of 687, 920, 135, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 574, 859, 417
• GCD of 200, 843, 430, 331
• GCD of 202, 222, 157, 931
• GCD of 495, 195, 993, 166
• GCD of 610, 408, 529, 139

Given numbers are 687, 920, 135, 196
The greatest common divisor of numbers 687, 920, 135, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 920, 135, 196 is 1.

1. What is the GCD of 687, 920, 135, 196?

GCD of given numbers 687, 920, 135, 196 is 1

2. How to calculate the greatest common divisor of 687, 920, 135, 196?

We can find the highest common divisor of 687, 920, 135, 196 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 687, 920, 135, 196 i.e 1.

3. How can I use the GCD of 687, 920, 135, 196Calculator?

Out the numbers 687, 920, 135, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.