GCD of 925, 105, 749, 940 Calculator

Given Input numbers are 925, 105, 749, 940

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

Divisors of 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (925, 105, 749, 940) = 1.

Given numbers are 925, 105, 749, 940

The list of prime factors of all numbers are

Prime factors of 925 are 5 x 5 x 37

Prime factors of 105 are 3 x 5 x 7

Prime factors of 749 are 7 x 107

Prime factors of 940 are 2 x 2 x 5 x 47

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

Given numbers are 925, 105, 749, 940

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

Apply this formula for all numbers.

Step1:

LCM(925, 105) = 19425

GCD(925, 105) = ( 925 x 105 ) / 19425

= 925 / 105

= 925

Step2:

LCM(5, 749) = 3745

GCD(5, 749) = ( 5 x 749 ) / 3745

= 5 / 749

= 5

Step3:

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

= 1 / 940

= 1

So, Greatest Common Divisor of 925, 105, 749, 940 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 987, 410, 192
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Given numbers are 925, 105, 749, 940
The greatest common divisor of numbers 925, 105, 749, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 925, 105, 749, 940 is 1.

1. What is the GCD of 925, 105, 749, 940?

GCD of given numbers 925, 105, 749, 940 is 1

2. How to calculate the greatest common divisor of 925, 105, 749, 940?

We can find the highest common divisor of 925, 105, 749, 940 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 925, 105, 749, 940 i.e 1.

3. How can I use the GCD of 925, 105, 749, 940Calculator?

Out the numbers 925, 105, 749, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.