GCD of 154, 460, 90, 961 Calculator

Given Input numbers are 154, 460, 90, 961

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

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (154, 460, 90, 961) = 1.

Given numbers are 154, 460, 90, 961

The list of prime factors of all numbers are

Prime factors of 154 are 2 x 7 x 11

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 961 are 31 x 31

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

Given numbers are 154, 460, 90, 961

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

Apply this formula for all numbers.

Step1:

LCM(154, 460) = 35420

GCD(154, 460) = ( 154 x 460 ) / 35420

= 154 / 460

= 154

Step2:

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

= 2 / 90

= 2

Step3:

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

= 2 / 961

= 2

So, Greatest Common Divisor of 154, 460, 90, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 762, 48, 610
• GCD of 597, 247, 32, 910
• GCD of 806, 419, 60, 317
• GCD of 445, 183, 82, 239
• GCD of 932, 695, 42, 626

Given numbers are 154, 460, 90, 961
The greatest common divisor of numbers 154, 460, 90, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 460, 90, 961 is 1.

1. What is the GCD of 154, 460, 90, 961?

GCD of given numbers 154, 460, 90, 961 is 1

2. How to calculate the greatest common divisor of 154, 460, 90, 961?

We can find the highest common divisor of 154, 460, 90, 961 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 154, 460, 90, 961 i.e 1.

3. How can I use the GCD of 154, 460, 90, 961Calculator?

Out the numbers 154, 460, 90, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.