GCD of 138, 693, 431, 175 Calculator

Given Input numbers are 138, 693, 431, 175

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 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

GCD of numbers is the greatest common divisor

So, the GCD (138, 693, 431, 175) = 1.

Given numbers are 138, 693, 431, 175

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 431 are 431

Prime factors of 175 are 5 x 5 x 7

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

Given numbers are 138, 693, 431, 175

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

Apply this formula for all numbers.

Step1:

LCM(138, 693) = 31878

GCD(138, 693) = ( 138 x 693 ) / 31878

= 138 / 693

= 138

Step2:

LCM(3, 431) = 1293

GCD(3, 431) = ( 3 x 431 ) / 1293

= 3 / 431

= 3

Step3:

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

= 1 / 175

= 1

So, Greatest Common Divisor of 138, 693, 431, 175 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 944, 245, 373
• GCD of 530, 661, 615, 453
• GCD of 632, 830, 284, 959
• GCD of 549, 736, 564, 978
• GCD of 523, 871, 464, 452

Given numbers are 138, 693, 431, 175
The greatest common divisor of numbers 138, 693, 431, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 693, 431, 175 is 1.

1. What is the GCD of 138, 693, 431, 175?

GCD of given numbers 138, 693, 431, 175 is 1

2. How to calculate the greatest common divisor of 138, 693, 431, 175?

We can find the highest common divisor of 138, 693, 431, 175 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, 693, 431, 175 i.e 1.

3. How can I use the GCD of 138, 693, 431, 175Calculator?

Out the numbers 138, 693, 431, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.