GCD of 372, 196, 658, 874 Calculator

Given Input numbers are 372, 196, 658, 874

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

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

GCD of numbers is the greatest common divisor

So, the GCD (372, 196, 658, 874) = 2.

Given numbers are 372, 196, 658, 874

The list of prime factors of all numbers are

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 658 are 2 x 7 x 47

Prime factors of 874 are 2 x 19 x 23

The highest common occurrence is 2¹

Therefore, GCD of 372, 196, 658, 874 is 2.

Given numbers are 372, 196, 658, 874

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

Apply this formula for all numbers.

Step1:

LCM(372, 196) = 18228

GCD(372, 196) = ( 372 x 196 ) / 18228

= 372 / 196

= 372

Step2:

LCM(4, 658) = 1316

GCD(4, 658) = ( 4 x 658 ) / 1316

= 4 / 658

= 4

Step3:

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

= 2 / 874

= 2

So, Greatest Common Divisor of 372, 196, 658, 874 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 668, 383, 754
• GCD of 820, 424, 676, 135
• GCD of 255, 272, 391, 727
• GCD of 867, 769, 956, 394
• GCD of 171, 656, 793, 197

Given numbers are 372, 196, 658, 874
The greatest common divisor of numbers 372, 196, 658, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 196, 658, 874 is 2.

1. What is the GCD of 372, 196, 658, 874?

GCD of given numbers 372, 196, 658, 874 is 2

2. How to calculate the greatest common divisor of 372, 196, 658, 874?

We can find the highest common divisor of 372, 196, 658, 874 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 372, 196, 658, 874 i.e 2.

3. How can I use the GCD of 372, 196, 658, 874Calculator?

Out the numbers 372, 196, 658, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.