GCD of 427, 588, 714, 749 Calculator

Given Input numbers are 427, 588, 714, 749

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

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (427, 588, 714, 749) = 7.

Given numbers are 427, 588, 714, 749

The list of prime factors of all numbers are

Prime factors of 427 are 7 x 61

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

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

Prime factors of 749 are 7 x 107

The highest common occurrence is 7¹

Therefore, GCD of 427, 588, 714, 749 is 7.

Given numbers are 427, 588, 714, 749

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

Apply this formula for all numbers.

Step1:

LCM(427, 588) = 35868

GCD(427, 588) = ( 427 x 588 ) / 35868

= 427 / 588

= 427

Step2:

LCM(7, 714) = 714

GCD(7, 714) = ( 7 x 714 ) / 714

= 7 / 714

= 7

Step3:

LCM(7, 749) = 749

GCD(7, 749) = ( 7 x 749 ) / 749

= 7 / 749

= 7

So, Greatest Common Divisor of 427, 588, 714, 749 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 369, 880, 195, 555
• GCD of 800, 946, 197, 564
• GCD of 568, 423, 119, 880
• GCD of 587, 349, 464, 572
• GCD of 291, 830, 806, 810

Given numbers are 427, 588, 714, 749
The greatest common divisor of numbers 427, 588, 714, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 588, 714, 749 is 7.

1. What is the GCD of 427, 588, 714, 749?

GCD of given numbers 427, 588, 714, 749 is 7

2. How to calculate the greatest common divisor of 427, 588, 714, 749?

We can find the highest common divisor of 427, 588, 714, 749 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 427, 588, 714, 749 i.e 7.

3. How can I use the GCD of 427, 588, 714, 749Calculator?

Out the numbers 427, 588, 714, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.