GCD of 746, 614, 468, 720 Calculator

Given Input numbers are 746, 614, 468, 720

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 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (746, 614, 468, 720) = 2.

Given numbers are 746, 614, 468, 720

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 614 are 2 x 307

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 746, 614, 468, 720 is 2.

Given numbers are 746, 614, 468, 720

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

Apply this formula for all numbers.

Step1:

LCM(746, 614) = 229022

GCD(746, 614) = ( 746 x 614 ) / 229022

= 746 / 614

= 746

Step2:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2

Step3:

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

= 2 / 720

= 2

So, Greatest Common Divisor of 746, 614, 468, 720 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 792, 442, 382, 778
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• GCD of 651, 267, 442, 329
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• GCD of 754, 833, 854, 114

Given numbers are 746, 614, 468, 720
The greatest common divisor of numbers 746, 614, 468, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 614, 468, 720 is 2.

1. What is the GCD of 746, 614, 468, 720?

GCD of given numbers 746, 614, 468, 720 is 2

2. How to calculate the greatest common divisor of 746, 614, 468, 720?

We can find the highest common divisor of 746, 614, 468, 720 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, 614, 468, 720 i.e 2.

3. How can I use the GCD of 746, 614, 468, 720Calculator?

Out the numbers 746, 614, 468, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.