GCD of 698, 798, 480, 744 Calculator

Given Input numbers are 698, 798, 480, 744

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

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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

GCD of numbers is the greatest common divisor

So, the GCD (698, 798, 480, 744) = 2.

Given numbers are 698, 798, 480, 744

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 698, 798, 480, 744 is 2.

Given numbers are 698, 798, 480, 744

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

Apply this formula for all numbers.

Step1:

LCM(698, 798) = 278502

GCD(698, 798) = ( 698 x 798 ) / 278502

= 698 / 798

= 698

Step2:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

Step3:

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

= 2 / 744

= 2

So, Greatest Common Divisor of 698, 798, 480, 744 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 473, 286, 715
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• GCD of 370, 860, 277, 621

Given numbers are 698, 798, 480, 744
The greatest common divisor of numbers 698, 798, 480, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 798, 480, 744 is 2.

1. What is the GCD of 698, 798, 480, 744?

GCD of given numbers 698, 798, 480, 744 is 2

2. How to calculate the greatest common divisor of 698, 798, 480, 744?

We can find the highest common divisor of 698, 798, 480, 744 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 698, 798, 480, 744 i.e 2.

3. How can I use the GCD of 698, 798, 480, 744Calculator?

Out the numbers 698, 798, 480, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.