GCD of 291, 898, 972, 678 Calculator

Given Input numbers are 291, 898, 972, 678

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

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (291, 898, 972, 678) = 1.

Given numbers are 291, 898, 972, 678

The list of prime factors of all numbers are

Prime factors of 291 are 3 x 97

Prime factors of 898 are 2 x 449

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 678 are 2 x 3 x 113

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

Given numbers are 291, 898, 972, 678

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

Apply this formula for all numbers.

Step1:

LCM(291, 898) = 261318

GCD(291, 898) = ( 291 x 898 ) / 261318

= 291 / 898

= 291

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1

So, Greatest Common Divisor of 291, 898, 972, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 883, 352, 439
• GCD of 287, 966, 448, 789
• GCD of 896, 821, 795, 211
• GCD of 146, 985, 810, 415
• GCD of 789, 417, 390, 961

Given numbers are 291, 898, 972, 678
The greatest common divisor of numbers 291, 898, 972, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 291, 898, 972, 678 is 1.

1. What is the GCD of 291, 898, 972, 678?

GCD of given numbers 291, 898, 972, 678 is 1

2. How to calculate the greatest common divisor of 291, 898, 972, 678?

We can find the highest common divisor of 291, 898, 972, 678 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 291, 898, 972, 678 i.e 1.

3. How can I use the GCD of 291, 898, 972, 678Calculator?

Out the numbers 291, 898, 972, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.