GCD of 420, 865, 350, 296 Calculator

Given Input numbers are 420, 865, 350, 296

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

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 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

GCD of numbers is the greatest common divisor

So, the GCD (420, 865, 350, 296) = 1.

Given numbers are 420, 865, 350, 296

The list of prime factors of all numbers are

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

Prime factors of 865 are 5 x 173

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 296 are 2 x 2 x 2 x 37

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

Given numbers are 420, 865, 350, 296

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

Apply this formula for all numbers.

Step1:

LCM(420, 865) = 72660

GCD(420, 865) = ( 420 x 865 ) / 72660

= 420 / 865

= 420

Step2:

LCM(5, 350) = 350

GCD(5, 350) = ( 5 x 350 ) / 350

= 5 / 350

= 5

Step3:

LCM(5, 296) = 1480

GCD(5, 296) = ( 5 x 296 ) / 1480

= 5 / 296

= 5

So, Greatest Common Divisor of 420, 865, 350, 296 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 159, 196, 632
• GCD of 632, 854, 891, 563
• GCD of 577, 938, 949, 602
• GCD of 607, 835, 838, 862
• GCD of 427, 529, 670, 210

Given numbers are 420, 865, 350, 296
The greatest common divisor of numbers 420, 865, 350, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 865, 350, 296 is 1.

1. What is the GCD of 420, 865, 350, 296?

GCD of given numbers 420, 865, 350, 296 is 1

2. How to calculate the greatest common divisor of 420, 865, 350, 296?

We can find the highest common divisor of 420, 865, 350, 296 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 420, 865, 350, 296 i.e 1.

3. How can I use the GCD of 420, 865, 350, 296Calculator?

Out the numbers 420, 865, 350, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.