GCD of 700, 744, 321, 898 Calculator

Given Input numbers are 700, 744, 321, 898

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 898 :

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

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (700, 744, 321, 898) = 1.

Given numbers are 700, 744, 321, 898

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 321 are 3 x 107

Prime factors of 898 are 2 x 449

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

Given numbers are 700, 744, 321, 898

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

Apply this formula for all numbers.

Step1:

LCM(700, 744) = 130200

GCD(700, 744) = ( 700 x 744 ) / 130200

= 700 / 744

= 700

Step2:

LCM(4, 321) = 1284

GCD(4, 321) = ( 4 x 321 ) / 1284

= 4 / 321

= 4

Step3:

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

= 1 / 898

= 1

So, Greatest Common Divisor of 700, 744, 321, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 521, 920, 588
• GCD of 533, 928, 654, 350
• GCD of 967, 342, 755, 338
• GCD of 732, 934, 522, 475
• GCD of 276, 918, 394, 563

Given numbers are 700, 744, 321, 898
The greatest common divisor of numbers 700, 744, 321, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 744, 321, 898 is 1.

1. What is the GCD of 700, 744, 321, 898?

GCD of given numbers 700, 744, 321, 898 is 1

2. How to calculate the greatest common divisor of 700, 744, 321, 898?

We can find the highest common divisor of 700, 744, 321, 898 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 700, 744, 321, 898 i.e 1.

3. How can I use the GCD of 700, 744, 321, 898Calculator?

Out the numbers 700, 744, 321, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.