GCD of 975, 880, 665, 575 Calculator

Given Input numbers are 975, 880, 665, 575

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

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 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 665 :

The positive integer divisors of 665 that completely divides 665 are.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 575 :

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

1, 5, 23, 25, 115, 575

GCD of numbers is the greatest common divisor

So, the GCD (975, 880, 665, 575) = 5.

Given numbers are 975, 880, 665, 575

The list of prime factors of all numbers are

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

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 665 are 5 x 7 x 19

Prime factors of 575 are 5 x 5 x 23

The highest common occurrence is 5¹

Therefore, GCD of 975, 880, 665, 575 is 5.

Given numbers are 975, 880, 665, 575

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

Apply this formula for all numbers.

Step1:

LCM(975, 880) = 171600

GCD(975, 880) = ( 975 x 880 ) / 171600

= 975 / 880

= 975

Step2:

LCM(5, 665) = 665

GCD(5, 665) = ( 5 x 665 ) / 665

= 5 / 665

= 5

Step3:

LCM(5, 575) = 575

GCD(5, 575) = ( 5 x 575 ) / 575

= 5 / 575

= 5

So, Greatest Common Divisor of 975, 880, 665, 575 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 976, 552, 985, 503
• GCD of 485, 765, 415, 526
• GCD of 111, 523, 789, 647
• GCD of 577, 571, 144, 658
• GCD of 173, 435, 636, 658

Given numbers are 975, 880, 665, 575
The greatest common divisor of numbers 975, 880, 665, 575 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 880, 665, 575 is 5.

1. What is the GCD of 975, 880, 665, 575?

GCD of given numbers 975, 880, 665, 575 is 5

2. How to calculate the greatest common divisor of 975, 880, 665, 575?

We can find the highest common divisor of 975, 880, 665, 575 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 975, 880, 665, 575 i.e 5.

3. How can I use the GCD of 975, 880, 665, 575Calculator?

Out the numbers 975, 880, 665, 575 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.