GCD of 682, 508, 770, 290 Calculator

Given Input numbers are 682, 508, 770, 290

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

GCD of numbers is the greatest common divisor

So, the GCD (682, 508, 770, 290) = 2.

Given numbers are 682, 508, 770, 290

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 508 are 2 x 2 x 127

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 290 are 2 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 682, 508, 770, 290 is 2.

Given numbers are 682, 508, 770, 290

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

Apply this formula for all numbers.

Step1:

LCM(682, 508) = 173228

GCD(682, 508) = ( 682 x 508 ) / 173228

= 682 / 508

= 682

Step2:

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

= 2 / 770

= 2

Step3:

LCM(2, 290) = 290

GCD(2, 290) = ( 2 x 290 ) / 290

= 2 / 290

= 2

So, Greatest Common Divisor of 682, 508, 770, 290 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 198, 205, 223
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• GCD of 568, 463, 503, 621
• GCD of 987, 687, 991, 706
• GCD of 275, 869, 614, 551

Given numbers are 682, 508, 770, 290
The greatest common divisor of numbers 682, 508, 770, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 508, 770, 290 is 2.

1. What is the GCD of 682, 508, 770, 290?

GCD of given numbers 682, 508, 770, 290 is 2

2. How to calculate the greatest common divisor of 682, 508, 770, 290?

We can find the highest common divisor of 682, 508, 770, 290 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, 508, 770, 290 i.e 2.

3. How can I use the GCD of 682, 508, 770, 290Calculator?

Out the numbers 682, 508, 770, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.