GCD of 746, 380, 77, 172 Calculator

Given Input numbers are 746, 380, 77, 172

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

Divisors of 746 :

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

1, 2, 373, 746

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (746, 380, 77, 172) = 1.

Given numbers are 746, 380, 77, 172

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 77 are 7 x 11

Prime factors of 172 are 2 x 2 x 43

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

Given numbers are 746, 380, 77, 172

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

Apply this formula for all numbers.

Step1:

LCM(746, 380) = 141740

GCD(746, 380) = ( 746 x 380 ) / 141740

= 746 / 380

= 746

Step2:

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

= 2 / 77

= 2

Step3:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

So, Greatest Common Divisor of 746, 380, 77, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 172, 39, 325
• GCD of 918, 612, 37, 143
• GCD of 837, 933, 31, 244
• GCD of 723, 424, 27, 607
• GCD of 782, 529, 99, 738

Given numbers are 746, 380, 77, 172
The greatest common divisor of numbers 746, 380, 77, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 380, 77, 172 is 1.

1. What is the GCD of 746, 380, 77, 172?

GCD of given numbers 746, 380, 77, 172 is 1

2. How to calculate the greatest common divisor of 746, 380, 77, 172?

We can find the highest common divisor of 746, 380, 77, 172 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 746, 380, 77, 172 i.e 1.

3. How can I use the GCD of 746, 380, 77, 172Calculator?

Out the numbers 746, 380, 77, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.