GCD of 513, 210, 948, 480 Calculator

Given Input numbers are 513, 210, 948, 480

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

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

GCD of numbers is the greatest common divisor

So, the GCD (513, 210, 948, 480) = 3.

Given numbers are 513, 210, 948, 480

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 948 are 2 x 2 x 3 x 79

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

The highest common occurrence is 3¹

Therefore, GCD of 513, 210, 948, 480 is 3.

Given numbers are 513, 210, 948, 480

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

Apply this formula for all numbers.

Step1:

LCM(513, 210) = 35910

GCD(513, 210) = ( 513 x 210 ) / 35910

= 513 / 210

= 513

Step2:

LCM(3, 948) = 948

GCD(3, 948) = ( 3 x 948 ) / 948

= 3 / 948

= 3

Step3:

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

= 3 / 480

= 3

So, Greatest Common Divisor of 513, 210, 948, 480 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 357, 274, 981
• GCD of 417, 233, 413, 527
• GCD of 313, 569, 317, 249
• GCD of 942, 198, 175, 735
• GCD of 931, 171, 770, 382

Given numbers are 513, 210, 948, 480
The greatest common divisor of numbers 513, 210, 948, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 210, 948, 480 is 3.

1. What is the GCD of 513, 210, 948, 480?

GCD of given numbers 513, 210, 948, 480 is 3

2. How to calculate the greatest common divisor of 513, 210, 948, 480?

We can find the highest common divisor of 513, 210, 948, 480 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 513, 210, 948, 480 i.e 3.

3. How can I use the GCD of 513, 210, 948, 480Calculator?

Out the numbers 513, 210, 948, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.