GCD of 948, 312, 147, 507 Calculator

Given Input numbers are 948, 312, 147, 507

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

GCD of numbers is the greatest common divisor

So, the GCD (948, 312, 147, 507) = 3.

Given numbers are 948, 312, 147, 507

The list of prime factors of all numbers are

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

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 147 are 3 x 7 x 7

Prime factors of 507 are 3 x 13 x 13

The highest common occurrence is 3¹

Therefore, GCD of 948, 312, 147, 507 is 3.

Given numbers are 948, 312, 147, 507

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

Apply this formula for all numbers.

Step1:

LCM(948, 312) = 24648

GCD(948, 312) = ( 948 x 312 ) / 24648

= 948 / 312

= 948

Step2:

LCM(12, 147) = 588

GCD(12, 147) = ( 12 x 147 ) / 588

= 12 / 147

= 12

Step3:

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

= 3 / 507

= 3

So, Greatest Common Divisor of 948, 312, 147, 507 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 516, 705, 310
• GCD of 494, 493, 896, 321
• GCD of 117, 493, 839, 604
• GCD of 852, 136, 822, 547
• GCD of 642, 790, 710, 153

Given numbers are 948, 312, 147, 507
The greatest common divisor of numbers 948, 312, 147, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 312, 147, 507 is 3.

1. What is the GCD of 948, 312, 147, 507?

GCD of given numbers 948, 312, 147, 507 is 3

2. How to calculate the greatest common divisor of 948, 312, 147, 507?

We can find the highest common divisor of 948, 312, 147, 507 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, 312, 147, 507 i.e 3.

3. How can I use the GCD of 948, 312, 147, 507Calculator?

Out the numbers 948, 312, 147, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.