GCD of 764, 497, 87, 172 Calculator

Given Input numbers are 764, 497, 87, 172

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 87 :

The positive integer divisors of 87 that completely divides 87 are.

1, 3, 29, 87

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 (764, 497, 87, 172) = 1.

Given numbers are 764, 497, 87, 172

The list of prime factors of all numbers are

Prime factors of 764 are 2 x 2 x 191

Prime factors of 497 are 7 x 71

Prime factors of 87 are 3 x 29

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 764, 497, 87, 172

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

Apply this formula for all numbers.

Step1:

LCM(764, 497) = 379708

GCD(764, 497) = ( 764 x 497 ) / 379708

= 764 / 497

= 764

Step2:

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

= 1 / 87

= 1

Step3:

LCM(1, 172) = 172

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

= 1 / 172

= 1

So, Greatest Common Divisor of 764, 497, 87, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 372, 39, 103
• GCD of 662, 728, 74, 525
• GCD of 405, 802, 78, 852
• GCD of 754, 950, 30, 386
• GCD of 333, 938, 14, 600

Given numbers are 764, 497, 87, 172
The greatest common divisor of numbers 764, 497, 87, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 497, 87, 172 is 1.

1. What is the GCD of 764, 497, 87, 172?

GCD of given numbers 764, 497, 87, 172 is 1

2. How to calculate the greatest common divisor of 764, 497, 87, 172?

We can find the highest common divisor of 764, 497, 87, 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 764, 497, 87, 172 i.e 1.

3. How can I use the GCD of 764, 497, 87, 172Calculator?

Out the numbers 764, 497, 87, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.