GCD of 672, 460, 124, 714 Calculator

Given Input numbers are 672, 460, 124, 714

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (672, 460, 124, 714) = 2.

Given numbers are 672, 460, 124, 714

The list of prime factors of all numbers are

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 124 are 2 x 2 x 31

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 672, 460, 124, 714 is 2.

Given numbers are 672, 460, 124, 714

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

Apply this formula for all numbers.

Step1:

LCM(672, 460) = 77280

GCD(672, 460) = ( 672 x 460 ) / 77280

= 672 / 460

= 672

Step2:

LCM(4, 124) = 124

GCD(4, 124) = ( 4 x 124 ) / 124

= 4 / 124

= 4

Step3:

LCM(4, 714) = 1428

GCD(4, 714) = ( 4 x 714 ) / 1428

= 4 / 714

= 4

So, Greatest Common Divisor of 672, 460, 124, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 476, 296, 730, 890
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• GCD of 198, 660, 583, 754

Given numbers are 672, 460, 124, 714
The greatest common divisor of numbers 672, 460, 124, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 460, 124, 714 is 2.

1. What is the GCD of 672, 460, 124, 714?

GCD of given numbers 672, 460, 124, 714 is 2

2. How to calculate the greatest common divisor of 672, 460, 124, 714?

We can find the highest common divisor of 672, 460, 124, 714 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 672, 460, 124, 714 i.e 2.

3. How can I use the GCD of 672, 460, 124, 714Calculator?

Out the numbers 672, 460, 124, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.