GCD of 109, 670, 956, 745 Calculator

Given Input numbers are 109, 670, 956, 745

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 745 :

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

1, 5, 149, 745

GCD of numbers is the greatest common divisor

So, the GCD (109, 670, 956, 745) = 1.

Given numbers are 109, 670, 956, 745

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 670 are 2 x 5 x 67

Prime factors of 956 are 2 x 2 x 239

Prime factors of 745 are 5 x 149

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

Given numbers are 109, 670, 956, 745

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

Apply this formula for all numbers.

Step1:

LCM(109, 670) = 73030

GCD(109, 670) = ( 109 x 670 ) / 73030

= 109 / 670

= 109

Step2:

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

= 1 / 956

= 1

Step3:

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

= 1 / 745

= 1

So, Greatest Common Divisor of 109, 670, 956, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 344, 506, 405
• GCD of 608, 235, 471, 525
• GCD of 572, 223, 395, 633
• GCD of 662, 507, 300, 996
• GCD of 348, 205, 350, 583

Given numbers are 109, 670, 956, 745
The greatest common divisor of numbers 109, 670, 956, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 670, 956, 745 is 1.

1. What is the GCD of 109, 670, 956, 745?

GCD of given numbers 109, 670, 956, 745 is 1

2. How to calculate the greatest common divisor of 109, 670, 956, 745?

We can find the highest common divisor of 109, 670, 956, 745 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 109, 670, 956, 745 i.e 1.

3. How can I use the GCD of 109, 670, 956, 745Calculator?

Out the numbers 109, 670, 956, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.