GCD of 698, 440, 552, 906 Calculator

Given Input numbers are 698, 440, 552, 906

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 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

GCD of numbers is the greatest common divisor

So, the GCD (698, 440, 552, 906) = 2.

Given numbers are 698, 440, 552, 906

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 906 are 2 x 3 x 151

The highest common occurrence is 2¹

Therefore, GCD of 698, 440, 552, 906 is 2.

Given numbers are 698, 440, 552, 906

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

Apply this formula for all numbers.

Step1:

LCM(698, 440) = 153560

GCD(698, 440) = ( 698 x 440 ) / 153560

= 698 / 440

= 698

Step2:

LCM(2, 552) = 552

GCD(2, 552) = ( 2 x 552 ) / 552

= 2 / 552

= 2

Step3:

LCM(2, 906) = 906

GCD(2, 906) = ( 2 x 906 ) / 906

= 2 / 906

= 2

So, Greatest Common Divisor of 698, 440, 552, 906 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 524, 701, 629, 566
• GCD of 567, 639, 345, 983
• GCD of 962, 434, 327, 775
• GCD of 661, 568, 521, 889
• GCD of 396, 514, 176, 456

Given numbers are 698, 440, 552, 906
The greatest common divisor of numbers 698, 440, 552, 906 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 440, 552, 906 is 2.

1. What is the GCD of 698, 440, 552, 906?

GCD of given numbers 698, 440, 552, 906 is 2

2. How to calculate the greatest common divisor of 698, 440, 552, 906?

We can find the highest common divisor of 698, 440, 552, 906 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, 440, 552, 906 i.e 2.

3. How can I use the GCD of 698, 440, 552, 906Calculator?

Out the numbers 698, 440, 552, 906 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.