GCD of 734, 694, 120, 660 Calculator

Given Input numbers are 734, 694, 120, 660

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 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (734, 694, 120, 660) = 2.

Given numbers are 734, 694, 120, 660

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 694 are 2 x 347

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 734, 694, 120, 660 is 2.

Given numbers are 734, 694, 120, 660

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

Apply this formula for all numbers.

Step1:

LCM(734, 694) = 254698

GCD(734, 694) = ( 734 x 694 ) / 254698

= 734 / 694

= 734

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

So, Greatest Common Divisor of 734, 694, 120, 660 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 132, 201, 454
• GCD of 817, 110, 271, 436
• GCD of 473, 804, 884, 686
• GCD of 159, 387, 186, 960
• GCD of 441, 606, 730, 908

Given numbers are 734, 694, 120, 660
The greatest common divisor of numbers 734, 694, 120, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 694, 120, 660 is 2.

1. What is the GCD of 734, 694, 120, 660?

GCD of given numbers 734, 694, 120, 660 is 2

2. How to calculate the greatest common divisor of 734, 694, 120, 660?

We can find the highest common divisor of 734, 694, 120, 660 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, 694, 120, 660 i.e 2.

3. How can I use the GCD of 734, 694, 120, 660Calculator?

Out the numbers 734, 694, 120, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.