GCD of 172, 814, 746, 942 Calculator

Given Input numbers are 172, 814, 746, 942

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

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 746 :

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

1, 2, 373, 746

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (172, 814, 746, 942) = 2.

Given numbers are 172, 814, 746, 942

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 814 are 2 x 11 x 37

Prime factors of 746 are 2 x 373

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 2¹

Therefore, GCD of 172, 814, 746, 942 is 2.

Given numbers are 172, 814, 746, 942

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

Apply this formula for all numbers.

Step1:

LCM(172, 814) = 70004

GCD(172, 814) = ( 172 x 814 ) / 70004

= 172 / 814

= 172

Step2:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

Step3:

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

= 2 / 942

= 2

So, Greatest Common Divisor of 172, 814, 746, 942 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 344, 701, 620
• GCD of 422, 101, 429, 914
• GCD of 555, 754, 415, 767
• GCD of 554, 149, 252, 719
• GCD of 307, 201, 133, 252

Given numbers are 172, 814, 746, 942
The greatest common divisor of numbers 172, 814, 746, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 814, 746, 942 is 2.

1. What is the GCD of 172, 814, 746, 942?

GCD of given numbers 172, 814, 746, 942 is 2

2. How to calculate the greatest common divisor of 172, 814, 746, 942?

We can find the highest common divisor of 172, 814, 746, 942 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 172, 814, 746, 942 i.e 2.

3. How can I use the GCD of 172, 814, 746, 942Calculator?

Out the numbers 172, 814, 746, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.