GCD of 506, 910, 670, 138 Calculator

Given Input numbers are 506, 910, 670, 138

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 910 :

The positive integer divisors of 910 that completely divides 910 are.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (506, 910, 670, 138) = 2.

Given numbers are 506, 910, 670, 138

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 910 are 2 x 5 x 7 x 13

Prime factors of 670 are 2 x 5 x 67

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 506, 910, 670, 138 is 2.

Given numbers are 506, 910, 670, 138

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

Apply this formula for all numbers.

Step1:

LCM(506, 910) = 230230

GCD(506, 910) = ( 506 x 910 ) / 230230

= 506 / 910

= 506

Step2:

LCM(2, 670) = 670

GCD(2, 670) = ( 2 x 670 ) / 670

= 2 / 670

= 2

Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 506, 910, 670, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 212, 838, 302
• GCD of 258, 570, 498, 867
• GCD of 394, 362, 430, 559
• GCD of 191, 807, 779, 680
• GCD of 960, 895, 860, 751

Given numbers are 506, 910, 670, 138
The greatest common divisor of numbers 506, 910, 670, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 910, 670, 138 is 2.

1. What is the GCD of 506, 910, 670, 138?

GCD of given numbers 506, 910, 670, 138 is 2

2. How to calculate the greatest common divisor of 506, 910, 670, 138?

We can find the highest common divisor of 506, 910, 670, 138 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 506, 910, 670, 138 i.e 2.

3. How can I use the GCD of 506, 910, 670, 138Calculator?

Out the numbers 506, 910, 670, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.