GCD of 520, 145, 10, 980 Calculator

Given Input numbers are 520, 145, 10, 980

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

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 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

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

GCD of numbers is the greatest common divisor

So, the GCD (520, 145, 10, 980) = 5.

Given numbers are 520, 145, 10, 980

The list of prime factors of all numbers are

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

Prime factors of 145 are 5 x 29

Prime factors of 10 are 2 x 5

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

The highest common occurrence is 5¹

Therefore, GCD of 520, 145, 10, 980 is 5.

Given numbers are 520, 145, 10, 980

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

Apply this formula for all numbers.

Step1:

LCM(520, 145) = 15080

GCD(520, 145) = ( 520 x 145 ) / 15080

= 520 / 145

= 520

Step2:

LCM(5, 10) = 10

GCD(5, 10) = ( 5 x 10 ) / 10

= 5 / 10

= 5

Step3:

LCM(5, 980) = 980

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

= 5 / 980

= 5

So, Greatest Common Divisor of 520, 145, 10, 980 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 541, 172, 30, 708
• GCD of 852, 607, 68, 825
• GCD of 262, 126, 58, 875
• GCD of 416, 536, 98, 598
• GCD of 541, 995, 39, 299

Given numbers are 520, 145, 10, 980
The greatest common divisor of numbers 520, 145, 10, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 145, 10, 980 is 5.

1. What is the GCD of 520, 145, 10, 980?

GCD of given numbers 520, 145, 10, 980 is 5

2. How to calculate the greatest common divisor of 520, 145, 10, 980?

We can find the highest common divisor of 520, 145, 10, 980 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 520, 145, 10, 980 i.e 5.

3. How can I use the GCD of 520, 145, 10, 980Calculator?

Out the numbers 520, 145, 10, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.