GCD of 682, 410, 578, 672 Calculator

Given Input numbers are 682, 410, 578, 672

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (682, 410, 578, 672) = 2.

Given numbers are 682, 410, 578, 672

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 410 are 2 x 5 x 41

Prime factors of 578 are 2 x 17 x 17

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 682, 410, 578, 672 is 2.

Given numbers are 682, 410, 578, 672

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

Apply this formula for all numbers.

Step1:

LCM(682, 410) = 139810

GCD(682, 410) = ( 682 x 410 ) / 139810

= 682 / 410

= 682

Step2:

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

= 2 / 578

= 2

Step3:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2

So, Greatest Common Divisor of 682, 410, 578, 672 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 423, 117, 641
• GCD of 338, 210, 811, 125
• GCD of 670, 455, 615, 975
• GCD of 884, 668, 786, 236
• GCD of 553, 365, 928, 551

Given numbers are 682, 410, 578, 672
The greatest common divisor of numbers 682, 410, 578, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 410, 578, 672 is 2.

1. What is the GCD of 682, 410, 578, 672?

GCD of given numbers 682, 410, 578, 672 is 2

2. How to calculate the greatest common divisor of 682, 410, 578, 672?

We can find the highest common divisor of 682, 410, 578, 672 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 682, 410, 578, 672 i.e 2.

3. How can I use the GCD of 682, 410, 578, 672Calculator?

Out the numbers 682, 410, 578, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.