GCD of 782, 620, 520, 280 Calculator

Given Input numbers are 782, 620, 520, 280

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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

GCD of numbers is the greatest common divisor

So, the GCD (782, 620, 520, 280) = 2.

Given numbers are 782, 620, 520, 280

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 620 are 2 x 2 x 5 x 31

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 782, 620, 520, 280 is 2.

Given numbers are 782, 620, 520, 280

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

Apply this formula for all numbers.

Step1:

LCM(782, 620) = 242420

GCD(782, 620) = ( 782 x 620 ) / 242420

= 782 / 620

= 782

Step2:

LCM(2, 520) = 520

GCD(2, 520) = ( 2 x 520 ) / 520

= 2 / 520

= 2

Step3:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

So, Greatest Common Divisor of 782, 620, 520, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 410, 208, 516
• GCD of 389, 141, 998, 135
• GCD of 862, 371, 180, 638
• GCD of 254, 169, 977, 153
• GCD of 229, 612, 458, 135

Given numbers are 782, 620, 520, 280
The greatest common divisor of numbers 782, 620, 520, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 620, 520, 280 is 2.

1. What is the GCD of 782, 620, 520, 280?

GCD of given numbers 782, 620, 520, 280 is 2

2. How to calculate the greatest common divisor of 782, 620, 520, 280?

We can find the highest common divisor of 782, 620, 520, 280 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 782, 620, 520, 280 i.e 2.

3. How can I use the GCD of 782, 620, 520, 280Calculator?

Out the numbers 782, 620, 520, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.