GCD of 154, 742, 274, 835 Calculator

Given Input numbers are 154, 742, 274, 835

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 835 :

The positive integer divisors of 835 that completely divides 835 are.

1, 5, 167, 835

GCD of numbers is the greatest common divisor

So, the GCD (154, 742, 274, 835) = 1.

Given numbers are 154, 742, 274, 835

The list of prime factors of all numbers are

Prime factors of 154 are 2 x 7 x 11

Prime factors of 742 are 2 x 7 x 53

Prime factors of 274 are 2 x 137

Prime factors of 835 are 5 x 167

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

Given numbers are 154, 742, 274, 835

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

Apply this formula for all numbers.

Step1:

LCM(154, 742) = 8162

GCD(154, 742) = ( 154 x 742 ) / 8162

= 154 / 742

= 154

Step2:

LCM(14, 274) = 1918

GCD(14, 274) = ( 14 x 274 ) / 1918

= 14 / 274

= 14

Step3:

LCM(2, 835) = 1670

GCD(2, 835) = ( 2 x 835 ) / 1670

= 2 / 835

= 2

So, Greatest Common Divisor of 154, 742, 274, 835 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 448, 354, 414
• GCD of 134, 759, 862, 361
• GCD of 544, 229, 225, 751
• GCD of 277, 198, 160, 250
• GCD of 955, 425, 859, 589

Given numbers are 154, 742, 274, 835
The greatest common divisor of numbers 154, 742, 274, 835 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 742, 274, 835 is 1.

1. What is the GCD of 154, 742, 274, 835?

GCD of given numbers 154, 742, 274, 835 is 1

2. How to calculate the greatest common divisor of 154, 742, 274, 835?

We can find the highest common divisor of 154, 742, 274, 835 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, 742, 274, 835 i.e 1.

3. How can I use the GCD of 154, 742, 274, 835Calculator?

Out the numbers 154, 742, 274, 835 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.