GCD of 730, 565, 980, 875 Calculator

Given Input numbers are 730, 565, 980, 875

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

GCD of numbers is the greatest common divisor

So, the GCD (730, 565, 980, 875) = 5.

Given numbers are 730, 565, 980, 875

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 565 are 5 x 113

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 875 are 5 x 5 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 730, 565, 980, 875 is 5.

Given numbers are 730, 565, 980, 875

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

Apply this formula for all numbers.

Step1:

LCM(730, 565) = 82490

GCD(730, 565) = ( 730 x 565 ) / 82490

= 730 / 565

= 730

Step2:

LCM(5, 980) = 980

GCD(5, 980) = ( 5 x 980 ) / 980

= 5 / 980

= 5

Step3:

LCM(5, 875) = 875

GCD(5, 875) = ( 5 x 875 ) / 875

= 5 / 875

= 5

So, Greatest Common Divisor of 730, 565, 980, 875 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 350, 994, 942
• GCD of 338, 659, 677, 369
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• GCD of 184, 748, 518, 350

Given numbers are 730, 565, 980, 875
The greatest common divisor of numbers 730, 565, 980, 875 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 565, 980, 875 is 5.

1. What is the GCD of 730, 565, 980, 875?

GCD of given numbers 730, 565, 980, 875 is 5

2. How to calculate the greatest common divisor of 730, 565, 980, 875?

We can find the highest common divisor of 730, 565, 980, 875 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 730, 565, 980, 875 i.e 5.

3. How can I use the GCD of 730, 565, 980, 875Calculator?

Out the numbers 730, 565, 980, 875 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.