GCD of 261, 649, 420, 235 Calculator

Given Input numbers are 261, 649, 420, 235

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

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

GCD of numbers is the greatest common divisor

So, the GCD (261, 649, 420, 235) = 1.

Given numbers are 261, 649, 420, 235

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 649 are 11 x 59

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 235 are 5 x 47

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

Given numbers are 261, 649, 420, 235

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

Apply this formula for all numbers.

Step1:

LCM(261, 649) = 169389

GCD(261, 649) = ( 261 x 649 ) / 169389

= 261 / 649

= 261

Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

Step3:

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

= 1 / 235

= 1

So, Greatest Common Divisor of 261, 649, 420, 235 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 366, 872, 120
• GCD of 176, 820, 466, 751
• GCD of 955, 409, 177, 420
• GCD of 557, 590, 468, 127
• GCD of 324, 495, 854, 828

Given numbers are 261, 649, 420, 235
The greatest common divisor of numbers 261, 649, 420, 235 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 649, 420, 235 is 1.

1. What is the GCD of 261, 649, 420, 235?

GCD of given numbers 261, 649, 420, 235 is 1

2. How to calculate the greatest common divisor of 261, 649, 420, 235?

We can find the highest common divisor of 261, 649, 420, 235 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 261, 649, 420, 235 i.e 1.

3. How can I use the GCD of 261, 649, 420, 235Calculator?

Out the numbers 261, 649, 420, 235 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.