GCD of 748, 168, 632, 316 Calculator

Given Input numbers are 748, 168, 632, 316

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

GCD of numbers is the greatest common divisor

So, the GCD (748, 168, 632, 316) = 4.

Given numbers are 748, 168, 632, 316

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 316 are 2 x 2 x 79

The highest common occurrence is 2²

Therefore, GCD of 748, 168, 632, 316 is 4.

Given numbers are 748, 168, 632, 316

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

Apply this formula for all numbers.

Step1:

LCM(748, 168) = 31416

GCD(748, 168) = ( 748 x 168 ) / 31416

= 748 / 168

= 748

Step2:

LCM(4, 632) = 632

GCD(4, 632) = ( 4 x 632 ) / 632

= 4 / 632

= 4

Step3:

LCM(4, 316) = 316

GCD(4, 316) = ( 4 x 316 ) / 316

= 4 / 316

= 4

So, Greatest Common Divisor of 748, 168, 632, 316 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 893, 319, 304
• GCD of 764, 437, 802, 223
• GCD of 724, 630, 520, 342
• GCD of 559, 574, 873, 620
• GCD of 475, 500, 364, 918

Given numbers are 748, 168, 632, 316
The greatest common divisor of numbers 748, 168, 632, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 168, 632, 316 is 4.

1. What is the GCD of 748, 168, 632, 316?

GCD of given numbers 748, 168, 632, 316 is 4

2. How to calculate the greatest common divisor of 748, 168, 632, 316?

We can find the highest common divisor of 748, 168, 632, 316 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 748, 168, 632, 316 i.e 4.

3. How can I use the GCD of 748, 168, 632, 316Calculator?

Out the numbers 748, 168, 632, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.