GCD of 471, 915, 912, 948 Calculator

Given Input numbers are 471, 915, 912, 948

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

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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

GCD of numbers is the greatest common divisor

So, the GCD (471, 915, 912, 948) = 3.

Given numbers are 471, 915, 912, 948

The list of prime factors of all numbers are

Prime factors of 471 are 3 x 157

Prime factors of 915 are 3 x 5 x 61

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

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

The highest common occurrence is 3¹

Therefore, GCD of 471, 915, 912, 948 is 3.

Given numbers are 471, 915, 912, 948

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

Apply this formula for all numbers.

Step1:

LCM(471, 915) = 143655

GCD(471, 915) = ( 471 x 915 ) / 143655

= 471 / 915

= 471

Step2:

LCM(3, 912) = 912

GCD(3, 912) = ( 3 x 912 ) / 912

= 3 / 912

= 3

Step3:

LCM(3, 948) = 948

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

= 3 / 948

= 3

So, Greatest Common Divisor of 471, 915, 912, 948 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 559, 708, 440
• GCD of 248, 116, 210, 960
• GCD of 531, 183, 340, 102
• GCD of 221, 289, 383, 644
• GCD of 521, 921, 722, 656

Given numbers are 471, 915, 912, 948
The greatest common divisor of numbers 471, 915, 912, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 915, 912, 948 is 3.

1. What is the GCD of 471, 915, 912, 948?

GCD of given numbers 471, 915, 912, 948 is 3

2. How to calculate the greatest common divisor of 471, 915, 912, 948?

We can find the highest common divisor of 471, 915, 912, 948 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 471, 915, 912, 948 i.e 3.

3. How can I use the GCD of 471, 915, 912, 948Calculator?

Out the numbers 471, 915, 912, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.