GCD of 104, 766, 74, 356 Calculator

Given Input numbers are 104, 766, 74, 356

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 74 :

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

1, 2, 37, 74

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

GCD of numbers is the greatest common divisor

So, the GCD (104, 766, 74, 356) = 2.

Given numbers are 104, 766, 74, 356

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 766 are 2 x 383

Prime factors of 74 are 2 x 37

Prime factors of 356 are 2 x 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 104, 766, 74, 356 is 2.

Given numbers are 104, 766, 74, 356

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

Apply this formula for all numbers.

Step1:

LCM(104, 766) = 39832

GCD(104, 766) = ( 104 x 766 ) / 39832

= 104 / 766

= 104

Step2:

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

= 2 / 74

= 2

Step3:

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

= 2 / 356

= 2

So, Greatest Common Divisor of 104, 766, 74, 356 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 709, 418, 58, 696
• GCD of 819, 789, 57, 713
• GCD of 312, 544, 69, 778
• GCD of 666, 822, 57, 875
• GCD of 844, 653, 16, 672

Given numbers are 104, 766, 74, 356
The greatest common divisor of numbers 104, 766, 74, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 766, 74, 356 is 2.

1. What is the GCD of 104, 766, 74, 356?

GCD of given numbers 104, 766, 74, 356 is 2

2. How to calculate the greatest common divisor of 104, 766, 74, 356?

We can find the highest common divisor of 104, 766, 74, 356 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 104, 766, 74, 356 i.e 2.

3. How can I use the GCD of 104, 766, 74, 356Calculator?

Out the numbers 104, 766, 74, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.