GCD of 298, 540, 921, 690 Calculator

Given Input numbers are 298, 540, 921, 690

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (298, 540, 921, 690) = 1.

Given numbers are 298, 540, 921, 690

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 921 are 3 x 307

Prime factors of 690 are 2 x 3 x 5 x 23

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

Given numbers are 298, 540, 921, 690

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

Apply this formula for all numbers.

Step1:

LCM(298, 540) = 80460

GCD(298, 540) = ( 298 x 540 ) / 80460

= 298 / 540

= 298

Step2:

LCM(2, 921) = 1842

GCD(2, 921) = ( 2 x 921 ) / 1842

= 2 / 921

= 2

Step3:

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

= 1 / 690

= 1

So, Greatest Common Divisor of 298, 540, 921, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 573, 148, 823
• GCD of 909, 129, 159, 962
• GCD of 572, 643, 743, 419
• GCD of 270, 399, 566, 390
• GCD of 419, 625, 867, 979

Given numbers are 298, 540, 921, 690
The greatest common divisor of numbers 298, 540, 921, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 540, 921, 690 is 1.

1. What is the GCD of 298, 540, 921, 690?

GCD of given numbers 298, 540, 921, 690 is 1

2. How to calculate the greatest common divisor of 298, 540, 921, 690?

We can find the highest common divisor of 298, 540, 921, 690 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 298, 540, 921, 690 i.e 1.

3. How can I use the GCD of 298, 540, 921, 690Calculator?

Out the numbers 298, 540, 921, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.