GCD of 105, 975, 157, 368 Calculator

Given Input numbers are 105, 975, 157, 368

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

Divisors of 105 :

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

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 157 :

The positive integer divisors of 157 that completely divides 157 are.

1, 157

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

GCD of numbers is the greatest common divisor

So, the GCD (105, 975, 157, 368) = 1.

Given numbers are 105, 975, 157, 368

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 157 are 157

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

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

Given numbers are 105, 975, 157, 368

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

Apply this formula for all numbers.

Step1:

LCM(105, 975) = 6825

GCD(105, 975) = ( 105 x 975 ) / 6825

= 105 / 975

= 105

Step2:

LCM(15, 157) = 2355

GCD(15, 157) = ( 15 x 157 ) / 2355

= 15 / 157

= 15

Step3:

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

= 1 / 368

= 1

So, Greatest Common Divisor of 105, 975, 157, 368 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 240, 160, 341, 923
• GCD of 263, 323, 831, 889
• GCD of 516, 300, 929, 445
• GCD of 220, 933, 527, 373
• GCD of 663, 108, 693, 783

Given numbers are 105, 975, 157, 368
The greatest common divisor of numbers 105, 975, 157, 368 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 975, 157, 368 is 1.

1. What is the GCD of 105, 975, 157, 368?

GCD of given numbers 105, 975, 157, 368 is 1

2. How to calculate the greatest common divisor of 105, 975, 157, 368?

We can find the highest common divisor of 105, 975, 157, 368 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 105, 975, 157, 368 i.e 1.

3. How can I use the GCD of 105, 975, 157, 368Calculator?

Out the numbers 105, 975, 157, 368 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.