GCD of 674, 762, 745, 872 Calculator

Given Input numbers are 674, 762, 745, 872

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

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (674, 762, 745, 872) = 1.

Given numbers are 674, 762, 745, 872

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

Prime factors of 762 are 2 x 3 x 127

Prime factors of 745 are 5 x 149

Prime factors of 872 are 2 x 2 x 2 x 109

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

Given numbers are 674, 762, 745, 872

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

Apply this formula for all numbers.

Step1:

LCM(674, 762) = 256794

GCD(674, 762) = ( 674 x 762 ) / 256794

= 674 / 762

= 674

Step2:

LCM(2, 745) = 1490

GCD(2, 745) = ( 2 x 745 ) / 1490

= 2 / 745

= 2

Step3:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1

So, Greatest Common Divisor of 674, 762, 745, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 217, 778, 139
• GCD of 949, 935, 497, 604
• GCD of 863, 358, 603, 267
• GCD of 225, 840, 965, 162
• GCD of 672, 396, 753, 280

Given numbers are 674, 762, 745, 872
The greatest common divisor of numbers 674, 762, 745, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 762, 745, 872 is 1.

1. What is the GCD of 674, 762, 745, 872?

GCD of given numbers 674, 762, 745, 872 is 1

2. How to calculate the greatest common divisor of 674, 762, 745, 872?

We can find the highest common divisor of 674, 762, 745, 872 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 674, 762, 745, 872 i.e 1.

3. How can I use the GCD of 674, 762, 745, 872Calculator?

Out the numbers 674, 762, 745, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.