GCD of 374, 946, 614, 142 Calculator

Given Input numbers are 374, 946, 614, 142

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (374, 946, 614, 142) = 2.

Given numbers are 374, 946, 614, 142

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

Prime factors of 946 are 2 x 11 x 43

Prime factors of 614 are 2 x 307

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 374, 946, 614, 142 is 2.

Given numbers are 374, 946, 614, 142

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

Apply this formula for all numbers.

Step1:

LCM(374, 946) = 16082

GCD(374, 946) = ( 374 x 946 ) / 16082

= 374 / 946

= 374

Step2:

LCM(22, 614) = 6754

GCD(22, 614) = ( 22 x 614 ) / 6754

= 22 / 614

= 22

Step3:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

So, Greatest Common Divisor of 374, 946, 614, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 498, 442, 466
• GCD of 180, 522, 177, 740
• GCD of 145, 525, 154, 636
• GCD of 528, 452, 648, 742
• GCD of 725, 231, 711, 995

Given numbers are 374, 946, 614, 142
The greatest common divisor of numbers 374, 946, 614, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 946, 614, 142 is 2.

1. What is the GCD of 374, 946, 614, 142?

GCD of given numbers 374, 946, 614, 142 is 2

2. How to calculate the greatest common divisor of 374, 946, 614, 142?

We can find the highest common divisor of 374, 946, 614, 142 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 374, 946, 614, 142 i.e 2.

3. How can I use the GCD of 374, 946, 614, 142Calculator?

Out the numbers 374, 946, 614, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.