GCD of 105, 741, 375, 102 Calculator

Given Input numbers are 105, 741, 375, 102

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 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (105, 741, 375, 102) = 3.

Given numbers are 105, 741, 375, 102

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 741 are 3 x 13 x 19

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 105, 741, 375, 102 is 3.

Given numbers are 105, 741, 375, 102

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

Apply this formula for all numbers.

Step1:

LCM(105, 741) = 25935

GCD(105, 741) = ( 105 x 741 ) / 25935

= 105 / 741

= 105

Step2:

LCM(3, 375) = 375

GCD(3, 375) = ( 3 x 375 ) / 375

= 3 / 375

= 3

Step3:

LCM(3, 102) = 102

GCD(3, 102) = ( 3 x 102 ) / 102

= 3 / 102

= 3

So, Greatest Common Divisor of 105, 741, 375, 102 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 888, 771, 435
• GCD of 374, 812, 865, 654
• GCD of 339, 863, 542, 213
• GCD of 250, 992, 540, 171
• GCD of 762, 332, 766, 364

Given numbers are 105, 741, 375, 102
The greatest common divisor of numbers 105, 741, 375, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 741, 375, 102 is 3.

1. What is the GCD of 105, 741, 375, 102?

GCD of given numbers 105, 741, 375, 102 is 3

2. How to calculate the greatest common divisor of 105, 741, 375, 102?

We can find the highest common divisor of 105, 741, 375, 102 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, 741, 375, 102 i.e 3.

3. How can I use the GCD of 105, 741, 375, 102Calculator?

Out the numbers 105, 741, 375, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.