GCD of 269, 704, 10, 138 Calculator

Given Input numbers are 269, 704, 10, 138

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

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

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 (269, 704, 10, 138) = 1.

Given numbers are 269, 704, 10, 138

The list of prime factors of all numbers are

Prime factors of 269 are 269

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 10 are 2 x 5

Prime factors of 138 are 2 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 269, 704, 10, 138

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

Apply this formula for all numbers.

Step1:

LCM(269, 704) = 189376

GCD(269, 704) = ( 269 x 704 ) / 189376

= 269 / 704

= 269

Step2:

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

= 1 / 10

= 1

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 269, 704, 10, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 108, 99, 212
• GCD of 462, 106, 57, 637
• GCD of 350, 836, 45, 244
• GCD of 788, 377, 81, 541
• GCD of 523, 278, 71, 954

Given numbers are 269, 704, 10, 138
The greatest common divisor of numbers 269, 704, 10, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 269, 704, 10, 138 is 1.

1. What is the GCD of 269, 704, 10, 138?

GCD of given numbers 269, 704, 10, 138 is 1

2. How to calculate the greatest common divisor of 269, 704, 10, 138?

We can find the highest common divisor of 269, 704, 10, 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 269, 704, 10, 138 i.e 1.

3. How can I use the GCD of 269, 704, 10, 138Calculator?

Out the numbers 269, 704, 10, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.