GCD of 474, 420, 490, 965 Calculator

Given Input numbers are 474, 420, 490, 965

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

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 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

GCD of numbers is the greatest common divisor

So, the GCD (474, 420, 490, 965) = 1.

Given numbers are 474, 420, 490, 965

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

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

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 965 are 5 x 193

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

Given numbers are 474, 420, 490, 965

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

Apply this formula for all numbers.

Step1:

LCM(474, 420) = 33180

GCD(474, 420) = ( 474 x 420 ) / 33180

= 474 / 420

= 474

Step2:

LCM(6, 490) = 1470

GCD(6, 490) = ( 6 x 490 ) / 1470

= 6 / 490

= 6

Step3:

LCM(2, 965) = 1930

GCD(2, 965) = ( 2 x 965 ) / 1930

= 2 / 965

= 2

So, Greatest Common Divisor of 474, 420, 490, 965 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 283, 621, 897
• GCD of 495, 179, 685, 927
• GCD of 327, 230, 516, 641
• GCD of 712, 591, 560, 469
• GCD of 358, 933, 186, 543

Given numbers are 474, 420, 490, 965
The greatest common divisor of numbers 474, 420, 490, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 420, 490, 965 is 1.

1. What is the GCD of 474, 420, 490, 965?

GCD of given numbers 474, 420, 490, 965 is 1

2. How to calculate the greatest common divisor of 474, 420, 490, 965?

We can find the highest common divisor of 474, 420, 490, 965 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 474, 420, 490, 965 i.e 1.

3. How can I use the GCD of 474, 420, 490, 965Calculator?

Out the numbers 474, 420, 490, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.