GCD of 174, 746, 154, 742 Calculator

Given Input numbers are 174, 746, 154, 742

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

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

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

GCD of numbers is the greatest common divisor

So, the GCD (174, 746, 154, 742) = 2.

Given numbers are 174, 746, 154, 742

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 746 are 2 x 373

Prime factors of 154 are 2 x 7 x 11

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 174, 746, 154, 742 is 2.

Given numbers are 174, 746, 154, 742

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

Apply this formula for all numbers.

Step1:

LCM(174, 746) = 64902

GCD(174, 746) = ( 174 x 746 ) / 64902

= 174 / 746

= 174

Step2:

LCM(2, 154) = 154

GCD(2, 154) = ( 2 x 154 ) / 154

= 2 / 154

= 2

Step3:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

So, Greatest Common Divisor of 174, 746, 154, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 649, 923, 308
• GCD of 618, 583, 487, 290
• GCD of 864, 539, 946, 623
• GCD of 361, 710, 862, 811
• GCD of 451, 645, 714, 951

Given numbers are 174, 746, 154, 742
The greatest common divisor of numbers 174, 746, 154, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 746, 154, 742 is 2.

1. What is the GCD of 174, 746, 154, 742?

GCD of given numbers 174, 746, 154, 742 is 2

2. How to calculate the greatest common divisor of 174, 746, 154, 742?

We can find the highest common divisor of 174, 746, 154, 742 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 174, 746, 154, 742 i.e 2.

3. How can I use the GCD of 174, 746, 154, 742Calculator?

Out the numbers 174, 746, 154, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.