GCD of 725, 915, 280, 435 Calculator

Given Input numbers are 725, 915, 280, 435

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

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

GCD of numbers is the greatest common divisor

So, the GCD (725, 915, 280, 435) = 5.

Given numbers are 725, 915, 280, 435

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 915 are 3 x 5 x 61

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 435 are 3 x 5 x 29

The highest common occurrence is 5¹

Therefore, GCD of 725, 915, 280, 435 is 5.

Given numbers are 725, 915, 280, 435

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

Apply this formula for all numbers.

Step1:

LCM(725, 915) = 132675

GCD(725, 915) = ( 725 x 915 ) / 132675

= 725 / 915

= 725

Step2:

LCM(5, 280) = 280

GCD(5, 280) = ( 5 x 280 ) / 280

= 5 / 280

= 5

Step3:

LCM(5, 435) = 435

GCD(5, 435) = ( 5 x 435 ) / 435

= 5 / 435

= 5

So, Greatest Common Divisor of 725, 915, 280, 435 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 348, 431, 160
• GCD of 674, 222, 361, 171
• GCD of 902, 836, 876, 632
• GCD of 913, 166, 831, 447
• GCD of 244, 111, 103, 265

Given numbers are 725, 915, 280, 435
The greatest common divisor of numbers 725, 915, 280, 435 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 915, 280, 435 is 5.

1. What is the GCD of 725, 915, 280, 435?

GCD of given numbers 725, 915, 280, 435 is 5

2. How to calculate the greatest common divisor of 725, 915, 280, 435?

We can find the highest common divisor of 725, 915, 280, 435 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 725, 915, 280, 435 i.e 5.

3. How can I use the GCD of 725, 915, 280, 435Calculator?

Out the numbers 725, 915, 280, 435 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.