GCD of 948, 480, 500, 694 Calculator

Given Input numbers are 948, 480, 500, 694

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

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

GCD of numbers is the greatest common divisor

So, the GCD (948, 480, 500, 694) = 2.

Given numbers are 948, 480, 500, 694

The list of prime factors of all numbers are

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

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 694 are 2 x 347

The highest common occurrence is 2¹

Therefore, GCD of 948, 480, 500, 694 is 2.

Given numbers are 948, 480, 500, 694

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

Apply this formula for all numbers.

Step1:

LCM(948, 480) = 37920

GCD(948, 480) = ( 948 x 480 ) / 37920

= 948 / 480

= 948

Step2:

LCM(12, 500) = 1500

GCD(12, 500) = ( 12 x 500 ) / 1500

= 12 / 500

= 12

Step3:

LCM(4, 694) = 1388

GCD(4, 694) = ( 4 x 694 ) / 1388

= 4 / 694

= 4

So, Greatest Common Divisor of 948, 480, 500, 694 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 275, 631, 924
• GCD of 611, 275, 470, 452
• GCD of 478, 978, 763, 379
• GCD of 628, 693, 306, 128
• GCD of 739, 415, 558, 973

Given numbers are 948, 480, 500, 694
The greatest common divisor of numbers 948, 480, 500, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 480, 500, 694 is 2.

1. What is the GCD of 948, 480, 500, 694?

GCD of given numbers 948, 480, 500, 694 is 2

2. How to calculate the greatest common divisor of 948, 480, 500, 694?

We can find the highest common divisor of 948, 480, 500, 694 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 948, 480, 500, 694 i.e 2.

3. How can I use the GCD of 948, 480, 500, 694Calculator?

Out the numbers 948, 480, 500, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.