GCD of 138, 778, 682, 690 Calculator

Given Input numbers are 138, 778, 682, 690

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 778 :

The positive integer divisors of 778 that completely divides 778 are.

1, 2, 389, 778

Divisors of 682 :

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

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (138, 778, 682, 690) = 2.

Given numbers are 138, 778, 682, 690

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 778 are 2 x 389

Prime factors of 682 are 2 x 11 x 31

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 138, 778, 682, 690 is 2.

Given numbers are 138, 778, 682, 690

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

Apply this formula for all numbers.

Step1:

LCM(138, 778) = 53682

GCD(138, 778) = ( 138 x 778 ) / 53682

= 138 / 778

= 138

Step2:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2

Step3:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2

So, Greatest Common Divisor of 138, 778, 682, 690 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 442, 576, 408
• GCD of 728, 624, 681, 407
• GCD of 571, 789, 138, 555
• GCD of 563, 552, 558, 747
• GCD of 928, 983, 509, 950

Given numbers are 138, 778, 682, 690
The greatest common divisor of numbers 138, 778, 682, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 778, 682, 690 is 2.

1. What is the GCD of 138, 778, 682, 690?

GCD of given numbers 138, 778, 682, 690 is 2

2. How to calculate the greatest common divisor of 138, 778, 682, 690?

We can find the highest common divisor of 138, 778, 682, 690 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 138, 778, 682, 690 i.e 2.

3. How can I use the GCD of 138, 778, 682, 690Calculator?

Out the numbers 138, 778, 682, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.