GCD of 416, 748, 74, 492 Calculator

Given Input numbers are 416, 748, 74, 492

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

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (416, 748, 74, 492) = 2.

Given numbers are 416, 748, 74, 492

The list of prime factors of all numbers are

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

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

Prime factors of 74 are 2 x 37

Prime factors of 492 are 2 x 2 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 416, 748, 74, 492 is 2.

Given numbers are 416, 748, 74, 492

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

Apply this formula for all numbers.

Step1:

LCM(416, 748) = 77792

GCD(416, 748) = ( 416 x 748 ) / 77792

= 416 / 748

= 416

Step2:

LCM(4, 74) = 148

GCD(4, 74) = ( 4 x 74 ) / 148

= 4 / 74

= 4

Step3:

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

= 2 / 492

= 2

So, Greatest Common Divisor of 416, 748, 74, 492 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 857, 39, 321
• GCD of 893, 569, 22, 902
• GCD of 833, 558, 15, 506
• GCD of 382, 654, 52, 691
• GCD of 924, 156, 92, 507

Given numbers are 416, 748, 74, 492
The greatest common divisor of numbers 416, 748, 74, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 416, 748, 74, 492 is 2.

1. What is the GCD of 416, 748, 74, 492?

GCD of given numbers 416, 748, 74, 492 is 2

2. How to calculate the greatest common divisor of 416, 748, 74, 492?

We can find the highest common divisor of 416, 748, 74, 492 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 416, 748, 74, 492 i.e 2.

3. How can I use the GCD of 416, 748, 74, 492Calculator?

Out the numbers 416, 748, 74, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.