GCD of 898, 720, 821, 374 Calculator

Given Input numbers are 898, 720, 821, 374

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

Divisors of 898 :

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

1, 2, 449, 898

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (898, 720, 821, 374) = 1.

Given numbers are 898, 720, 821, 374

The list of prime factors of all numbers are

Prime factors of 898 are 2 x 449

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 821 are 821

Prime factors of 374 are 2 x 11 x 17

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

Given numbers are 898, 720, 821, 374

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

Apply this formula for all numbers.

Step1:

LCM(898, 720) = 323280

GCD(898, 720) = ( 898 x 720 ) / 323280

= 898 / 720

= 898

Step2:

LCM(2, 821) = 1642

GCD(2, 821) = ( 2 x 821 ) / 1642

= 2 / 821

= 2

Step3:

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

= 1 / 374

= 1

So, Greatest Common Divisor of 898, 720, 821, 374 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 759, 951, 517
• GCD of 898, 519, 423, 378
• GCD of 457, 996, 413, 549
• GCD of 431, 861, 523, 543
• GCD of 672, 410, 457, 775

Given numbers are 898, 720, 821, 374
The greatest common divisor of numbers 898, 720, 821, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 720, 821, 374 is 1.

1. What is the GCD of 898, 720, 821, 374?

GCD of given numbers 898, 720, 821, 374 is 1

2. How to calculate the greatest common divisor of 898, 720, 821, 374?

We can find the highest common divisor of 898, 720, 821, 374 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 898, 720, 821, 374 i.e 1.

3. How can I use the GCD of 898, 720, 821, 374Calculator?

Out the numbers 898, 720, 821, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.