GCD of 480, 245, 620, 715 Calculator

Given Input numbers are 480, 245, 620, 715

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

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 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

GCD of numbers is the greatest common divisor

So, the GCD (480, 245, 620, 715) = 5.

Given numbers are 480, 245, 620, 715

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 245 are 5 x 7 x 7

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

Prime factors of 715 are 5 x 11 x 13

The highest common occurrence is 5¹

Therefore, GCD of 480, 245, 620, 715 is 5.

Given numbers are 480, 245, 620, 715

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

Apply this formula for all numbers.

Step1:

LCM(480, 245) = 23520

GCD(480, 245) = ( 480 x 245 ) / 23520

= 480 / 245

= 480

Step2:

LCM(5, 620) = 620

GCD(5, 620) = ( 5 x 620 ) / 620

= 5 / 620

= 5

Step3:

LCM(5, 715) = 715

GCD(5, 715) = ( 5 x 715 ) / 715

= 5 / 715

= 5

So, Greatest Common Divisor of 480, 245, 620, 715 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 515, 733, 720, 226
• GCD of 505, 927, 191, 806
• GCD of 913, 549, 646, 421
• GCD of 246, 329, 275, 821
• GCD of 765, 687, 218, 430

Given numbers are 480, 245, 620, 715
The greatest common divisor of numbers 480, 245, 620, 715 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 245, 620, 715 is 5.

1. What is the GCD of 480, 245, 620, 715?

GCD of given numbers 480, 245, 620, 715 is 5

2. How to calculate the greatest common divisor of 480, 245, 620, 715?

We can find the highest common divisor of 480, 245, 620, 715 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 480, 245, 620, 715 i.e 5.

3. How can I use the GCD of 480, 245, 620, 715Calculator?

Out the numbers 480, 245, 620, 715 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.