GCD of 724, 940, 308, 654 Calculator

Given Input numbers are 724, 940, 308, 654

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 654 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (724, 940, 308, 654) = 2.

Given numbers are 724, 940, 308, 654

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 2¹

Therefore, GCD of 724, 940, 308, 654 is 2.

Given numbers are 724, 940, 308, 654

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

Apply this formula for all numbers.

Step1:

LCM(724, 940) = 170140

GCD(724, 940) = ( 724 x 940 ) / 170140

= 724 / 940

= 724

Step2:

LCM(4, 308) = 308

GCD(4, 308) = ( 4 x 308 ) / 308

= 4 / 308

= 4

Step3:

LCM(4, 654) = 1308

GCD(4, 654) = ( 4 x 654 ) / 1308

= 4 / 654

= 4

So, Greatest Common Divisor of 724, 940, 308, 654 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 725, 547, 790, 631
• GCD of 617, 526, 530, 406
• GCD of 454, 857, 788, 870
• GCD of 754, 646, 279, 680
• GCD of 424, 601, 893, 559

Given numbers are 724, 940, 308, 654
The greatest common divisor of numbers 724, 940, 308, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 940, 308, 654 is 2.

1. What is the GCD of 724, 940, 308, 654?

GCD of given numbers 724, 940, 308, 654 is 2

2. How to calculate the greatest common divisor of 724, 940, 308, 654?

We can find the highest common divisor of 724, 940, 308, 654 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 724, 940, 308, 654 i.e 2.

3. How can I use the GCD of 724, 940, 308, 654Calculator?

Out the numbers 724, 940, 308, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.