GCD of 614, 948, 688, 468 Calculator

Given Input numbers are 614, 948, 688, 468

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 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

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 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (614, 948, 688, 468) = 2.

Given numbers are 614, 948, 688, 468

The list of prime factors of all numbers are

Prime factors of 614 are 2 x 307

Prime factors of 948 are 2 x 2 x 3 x 79

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

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 614, 948, 688, 468 is 2.

Given numbers are 614, 948, 688, 468

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

Apply this formula for all numbers.

Step1:

LCM(614, 948) = 291036

GCD(614, 948) = ( 614 x 948 ) / 291036

= 614 / 948

= 614

Step2:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

Step3:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2

So, Greatest Common Divisor of 614, 948, 688, 468 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 288, 946, 109, 193
• GCD of 679, 939, 703, 601
• GCD of 442, 154, 876, 696
• GCD of 357, 996, 941, 863
• GCD of 919, 488, 242, 854

Given numbers are 614, 948, 688, 468
The greatest common divisor of numbers 614, 948, 688, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 614, 948, 688, 468 is 2.

1. What is the GCD of 614, 948, 688, 468?

GCD of given numbers 614, 948, 688, 468 is 2

2. How to calculate the greatest common divisor of 614, 948, 688, 468?

We can find the highest common divisor of 614, 948, 688, 468 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, 948, 688, 468 i.e 2.

3. How can I use the GCD of 614, 948, 688, 468Calculator?

Out the numbers 614, 948, 688, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.