GCD of 575, 425, 475, 740 Calculator

Given Input numbers are 575, 425, 475, 740

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

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

GCD of numbers is the greatest common divisor

So, the GCD (575, 425, 475, 740) = 5.

Given numbers are 575, 425, 475, 740

The list of prime factors of all numbers are

Prime factors of 575 are 5 x 5 x 23

Prime factors of 425 are 5 x 5 x 17

Prime factors of 475 are 5 x 5 x 19

Prime factors of 740 are 2 x 2 x 5 x 37

The highest common occurrence is 5¹

Therefore, GCD of 575, 425, 475, 740 is 5.

Given numbers are 575, 425, 475, 740

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

Apply this formula for all numbers.

Step1:

LCM(575, 425) = 9775

GCD(575, 425) = ( 575 x 425 ) / 9775

= 575 / 425

= 575

Step2:

LCM(25, 475) = 475

GCD(25, 475) = ( 25 x 475 ) / 475

= 25 / 475

= 25

Step3:

LCM(25, 740) = 3700

GCD(25, 740) = ( 25 x 740 ) / 3700

= 25 / 740

= 25

So, Greatest Common Divisor of 575, 425, 475, 740 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 271, 646, 390
• GCD of 831, 424, 956, 429
• GCD of 833, 896, 150, 795
• GCD of 119, 454, 902, 793
• GCD of 513, 206, 920, 315

Given numbers are 575, 425, 475, 740
The greatest common divisor of numbers 575, 425, 475, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 575, 425, 475, 740 is 5.

1. What is the GCD of 575, 425, 475, 740?

GCD of given numbers 575, 425, 475, 740 is 5

2. How to calculate the greatest common divisor of 575, 425, 475, 740?

We can find the highest common divisor of 575, 425, 475, 740 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 575, 425, 475, 740 i.e 5.

3. How can I use the GCD of 575, 425, 475, 740Calculator?

Out the numbers 575, 425, 475, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.