GCD of 746, 112, 708, 136 Calculator

Given Input numbers are 746, 112, 708, 136

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

GCD of numbers is the greatest common divisor

So, the GCD (746, 112, 708, 136) = 2.

Given numbers are 746, 112, 708, 136

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 136 are 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 746, 112, 708, 136 is 2.

Given numbers are 746, 112, 708, 136

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

Apply this formula for all numbers.

Step1:

LCM(746, 112) = 41776

GCD(746, 112) = ( 746 x 112 ) / 41776

= 746 / 112

= 746

Step2:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2

Step3:

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

= 2 / 136

= 2

So, Greatest Common Divisor of 746, 112, 708, 136 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 603, 588, 633, 212
• GCD of 265, 166, 268, 220
• GCD of 632, 393, 508, 560
• GCD of 553, 320, 442, 302
• GCD of 117, 927, 588, 689

Given numbers are 746, 112, 708, 136
The greatest common divisor of numbers 746, 112, 708, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 112, 708, 136 is 2.

1. What is the GCD of 746, 112, 708, 136?

GCD of given numbers 746, 112, 708, 136 is 2

2. How to calculate the greatest common divisor of 746, 112, 708, 136?

We can find the highest common divisor of 746, 112, 708, 136 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 746, 112, 708, 136 i.e 2.

3. How can I use the GCD of 746, 112, 708, 136Calculator?

Out the numbers 746, 112, 708, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.