GCD of 125, 675, 150, 705 Calculator

Given Input numbers are 125, 675, 150, 705

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

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (125, 675, 150, 705) = 5.

Given numbers are 125, 675, 150, 705

The list of prime factors of all numbers are

Prime factors of 125 are 5 x 5 x 5

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 705 are 3 x 5 x 47

The highest common occurrence is 5¹

Therefore, GCD of 125, 675, 150, 705 is 5.

Given numbers are 125, 675, 150, 705

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

Apply this formula for all numbers.

Step1:

LCM(125, 675) = 3375

GCD(125, 675) = ( 125 x 675 ) / 3375

= 125 / 675

= 125

Step2:

LCM(25, 150) = 150

GCD(25, 150) = ( 25 x 150 ) / 150

= 25 / 150

= 25

Step3:

LCM(25, 705) = 3525

GCD(25, 705) = ( 25 x 705 ) / 3525

= 25 / 705

= 25

So, Greatest Common Divisor of 125, 675, 150, 705 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 547, 234, 670
• GCD of 105, 443, 720, 689
• GCD of 135, 221, 930, 518
• GCD of 179, 101, 655, 524
• GCD of 437, 801, 990, 480

Given numbers are 125, 675, 150, 705
The greatest common divisor of numbers 125, 675, 150, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 125, 675, 150, 705 is 5.

1. What is the GCD of 125, 675, 150, 705?

GCD of given numbers 125, 675, 150, 705 is 5

2. How to calculate the greatest common divisor of 125, 675, 150, 705?

We can find the highest common divisor of 125, 675, 150, 705 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 125, 675, 150, 705 i.e 5.

3. How can I use the GCD of 125, 675, 150, 705Calculator?

Out the numbers 125, 675, 150, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.