GCD of 530, 120, 950, 765 Calculator

Given Input numbers are 530, 120, 950, 765

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

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 950 :

The positive integer divisors of 950 that completely divides 950 are.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

GCD of numbers is the greatest common divisor

So, the GCD (530, 120, 950, 765) = 5.

Given numbers are 530, 120, 950, 765

The list of prime factors of all numbers are

Prime factors of 530 are 2 x 5 x 53

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 950 are 2 x 5 x 5 x 19

Prime factors of 765 are 3 x 3 x 5 x 17

The highest common occurrence is 5¹

Therefore, GCD of 530, 120, 950, 765 is 5.

Given numbers are 530, 120, 950, 765

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

Apply this formula for all numbers.

Step1:

LCM(530, 120) = 6360

GCD(530, 120) = ( 530 x 120 ) / 6360

= 530 / 120

= 530

Step2:

LCM(10, 950) = 950

GCD(10, 950) = ( 10 x 950 ) / 950

= 10 / 950

= 10

Step3:

LCM(10, 765) = 1530

GCD(10, 765) = ( 10 x 765 ) / 1530

= 10 / 765

= 10

So, Greatest Common Divisor of 530, 120, 950, 765 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 972, 499, 745
• GCD of 645, 767, 467, 443
• GCD of 546, 776, 900, 337
• GCD of 529, 180, 437, 156
• GCD of 310, 899, 880, 127

Given numbers are 530, 120, 950, 765
The greatest common divisor of numbers 530, 120, 950, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 120, 950, 765 is 5.

1. What is the GCD of 530, 120, 950, 765?

GCD of given numbers 530, 120, 950, 765 is 5

2. How to calculate the greatest common divisor of 530, 120, 950, 765?

We can find the highest common divisor of 530, 120, 950, 765 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 530, 120, 950, 765 i.e 5.

3. How can I use the GCD of 530, 120, 950, 765Calculator?

Out the numbers 530, 120, 950, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.