GCD of 684, 174, 654, 702 Calculator

Given Input numbers are 684, 174, 654, 702

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (684, 174, 654, 702) = 6.

Given numbers are 684, 174, 654, 702

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 174 are 2 x 3 x 29

Prime factors of 654 are 2 x 3 x 109

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 684, 174, 654, 702 is 6.

Given numbers are 684, 174, 654, 702

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

Apply this formula for all numbers.

Step1:

LCM(684, 174) = 19836

GCD(684, 174) = ( 684 x 174 ) / 19836

= 684 / 174

= 684

Step2:

LCM(6, 654) = 654

GCD(6, 654) = ( 6 x 654 ) / 654

= 6 / 654

= 6

Step3:

LCM(6, 702) = 702

GCD(6, 702) = ( 6 x 702 ) / 702

= 6 / 702

= 6

So, Greatest Common Divisor of 684, 174, 654, 702 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 994, 687, 196, 507
• GCD of 468, 918, 774, 926
• GCD of 174, 969, 989, 494
• GCD of 491, 124, 694, 645
• GCD of 971, 950, 878, 174

Given numbers are 684, 174, 654, 702
The greatest common divisor of numbers 684, 174, 654, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 174, 654, 702 is 6.

1. What is the GCD of 684, 174, 654, 702?

GCD of given numbers 684, 174, 654, 702 is 6

2. How to calculate the greatest common divisor of 684, 174, 654, 702?

We can find the highest common divisor of 684, 174, 654, 702 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 684, 174, 654, 702 i.e 6.

3. How can I use the GCD of 684, 174, 654, 702Calculator?

Out the numbers 684, 174, 654, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.