GCD of 614, 742, 698, 624 Calculator

Given Input numbers are 614, 742, 698, 624

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

Divisors of 614 :

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

1, 2, 307, 614

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (614, 742, 698, 624) = 2.

Given numbers are 614, 742, 698, 624

The list of prime factors of all numbers are

Prime factors of 614 are 2 x 307

Prime factors of 742 are 2 x 7 x 53

Prime factors of 698 are 2 x 349

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 614, 742, 698, 624 is 2.

Given numbers are 614, 742, 698, 624

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

Apply this formula for all numbers.

Step1:

LCM(614, 742) = 227794

GCD(614, 742) = ( 614 x 742 ) / 227794

= 614 / 742

= 614

Step2:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

Step3:

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

= 2 / 624

= 2

So, Greatest Common Divisor of 614, 742, 698, 624 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 313, 825, 284
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• GCD of 765, 559, 400, 702

Given numbers are 614, 742, 698, 624
The greatest common divisor of numbers 614, 742, 698, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 614, 742, 698, 624 is 2.

1. What is the GCD of 614, 742, 698, 624?

GCD of given numbers 614, 742, 698, 624 is 2

2. How to calculate the greatest common divisor of 614, 742, 698, 624?

We can find the highest common divisor of 614, 742, 698, 624 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 614, 742, 698, 624 i.e 2.

3. How can I use the GCD of 614, 742, 698, 624Calculator?

Out the numbers 614, 742, 698, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.