GCD of 734, 354, 56, 972 Calculator

Given Input numbers are 734, 354, 56, 972

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 56 :

The positive integer divisors of 56 that completely divides 56 are.

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (734, 354, 56, 972) = 2.

Given numbers are 734, 354, 56, 972

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 354 are 2 x 3 x 59

Prime factors of 56 are 2 x 2 x 2 x 7

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 734, 354, 56, 972 is 2.

Given numbers are 734, 354, 56, 972

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

Apply this formula for all numbers.

Step1:

LCM(734, 354) = 129918

GCD(734, 354) = ( 734 x 354 ) / 129918

= 734 / 354

= 734

Step2:

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

= 2 / 56

= 2

Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 734, 354, 56, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 875, 524, 57, 120
• GCD of 375, 988, 32, 765
• GCD of 700, 856, 35, 197
• GCD of 911, 216, 48, 998
• GCD of 410, 382, 94, 214

Given numbers are 734, 354, 56, 972
The greatest common divisor of numbers 734, 354, 56, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 354, 56, 972 is 2.

1. What is the GCD of 734, 354, 56, 972?

GCD of given numbers 734, 354, 56, 972 is 2

2. How to calculate the greatest common divisor of 734, 354, 56, 972?

We can find the highest common divisor of 734, 354, 56, 972 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 734, 354, 56, 972 i.e 2.

3. How can I use the GCD of 734, 354, 56, 972Calculator?

Out the numbers 734, 354, 56, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.