GCD of 688, 420, 504, 674 Calculator

Given Input numbers are 688, 420, 504, 674

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (688, 420, 504, 674) = 2.

Given numbers are 688, 420, 504, 674

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 674 are 2 x 337

The highest common occurrence is 2¹

Therefore, GCD of 688, 420, 504, 674 is 2.

Given numbers are 688, 420, 504, 674

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

Apply this formula for all numbers.

Step1:

LCM(688, 420) = 72240

GCD(688, 420) = ( 688 x 420 ) / 72240

= 688 / 420

= 688

Step2:

LCM(4, 504) = 504

GCD(4, 504) = ( 4 x 504 ) / 504

= 4 / 504

= 4

Step3:

LCM(4, 674) = 1348

GCD(4, 674) = ( 4 x 674 ) / 1348

= 4 / 674

= 4

So, Greatest Common Divisor of 688, 420, 504, 674 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 240, 866, 532, 168
• GCD of 650, 705, 934, 273
• GCD of 592, 797, 564, 105
• GCD of 955, 439, 212, 284
• GCD of 816, 887, 661, 655

Given numbers are 688, 420, 504, 674
The greatest common divisor of numbers 688, 420, 504, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 420, 504, 674 is 2.

1. What is the GCD of 688, 420, 504, 674?

GCD of given numbers 688, 420, 504, 674 is 2

2. How to calculate the greatest common divisor of 688, 420, 504, 674?

We can find the highest common divisor of 688, 420, 504, 674 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 688, 420, 504, 674 i.e 2.

3. How can I use the GCD of 688, 420, 504, 674Calculator?

Out the numbers 688, 420, 504, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.