GCD of 154, 123, 346, 698 Calculator

Given Input numbers are 154, 123, 346, 698

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

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (154, 123, 346, 698) = 1.

Given numbers are 154, 123, 346, 698

The list of prime factors of all numbers are

Prime factors of 154 are 2 x 7 x 11

Prime factors of 123 are 3 x 41

Prime factors of 346 are 2 x 173

Prime factors of 698 are 2 x 349

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

Given numbers are 154, 123, 346, 698

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

Apply this formula for all numbers.

Step1:

LCM(154, 123) = 18942

GCD(154, 123) = ( 154 x 123 ) / 18942

= 154 / 123

= 154

Step2:

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

= 1 / 346

= 1

Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

So, Greatest Common Divisor of 154, 123, 346, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 972, 977, 529
• GCD of 402, 314, 486, 420
• GCD of 787, 133, 551, 272
• GCD of 949, 700, 437, 442
• GCD of 261, 990, 527, 298

Given numbers are 154, 123, 346, 698
The greatest common divisor of numbers 154, 123, 346, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 123, 346, 698 is 1.

1. What is the GCD of 154, 123, 346, 698?

GCD of given numbers 154, 123, 346, 698 is 1

2. How to calculate the greatest common divisor of 154, 123, 346, 698?

We can find the highest common divisor of 154, 123, 346, 698 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 154, 123, 346, 698 i.e 1.

3. How can I use the GCD of 154, 123, 346, 698Calculator?

Out the numbers 154, 123, 346, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.