GCD of 830, 780, 975, 490 Calculator

Given Input numbers are 830, 780, 975, 490

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

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (830, 780, 975, 490) = 5.

Given numbers are 830, 780, 975, 490

The list of prime factors of all numbers are

Prime factors of 830 are 2 x 5 x 83

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

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

Prime factors of 490 are 2 x 5 x 7 x 7

The highest common occurrence is 5¹

Therefore, GCD of 830, 780, 975, 490 is 5.

Given numbers are 830, 780, 975, 490

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

Apply this formula for all numbers.

Step1:

LCM(830, 780) = 64740

GCD(830, 780) = ( 830 x 780 ) / 64740

= 830 / 780

= 830

Step2:

LCM(10, 975) = 1950

GCD(10, 975) = ( 10 x 975 ) / 1950

= 10 / 975

= 10

Step3:

LCM(5, 490) = 490

GCD(5, 490) = ( 5 x 490 ) / 490

= 5 / 490

= 5

So, Greatest Common Divisor of 830, 780, 975, 490 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 580, 833, 298
• GCD of 327, 800, 358, 899
• GCD of 986, 423, 626, 562
• GCD of 515, 329, 890, 797
• GCD of 867, 304, 594, 298

Given numbers are 830, 780, 975, 490
The greatest common divisor of numbers 830, 780, 975, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 830, 780, 975, 490 is 5.

1. What is the GCD of 830, 780, 975, 490?

GCD of given numbers 830, 780, 975, 490 is 5

2. How to calculate the greatest common divisor of 830, 780, 975, 490?

We can find the highest common divisor of 830, 780, 975, 490 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 830, 780, 975, 490 i.e 5.

3. How can I use the GCD of 830, 780, 975, 490Calculator?

Out the numbers 830, 780, 975, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.