GCD of 354, 704, 874, 142 Calculator

Given Input numbers are 354, 704, 874, 142

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 874 :

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

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

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 (354, 704, 874, 142) = 2.

Given numbers are 354, 704, 874, 142

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 874 are 2 x 19 x 23

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 354, 704, 874, 142 is 2.

Given numbers are 354, 704, 874, 142

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

Apply this formula for all numbers.

Step1:

LCM(354, 704) = 124608

GCD(354, 704) = ( 354 x 704 ) / 124608

= 354 / 704

= 354

Step2:

LCM(2, 874) = 874

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

= 2 / 874

= 2

Step3:

LCM(2, 142) = 142

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

= 2 / 142

= 2

So, Greatest Common Divisor of 354, 704, 874, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 740, 252, 911
• GCD of 684, 557, 578, 123
• GCD of 444, 418, 943, 871
• GCD of 762, 974, 903, 483
• GCD of 362, 654, 801, 846

Given numbers are 354, 704, 874, 142
The greatest common divisor of numbers 354, 704, 874, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 704, 874, 142 is 2.

1. What is the GCD of 354, 704, 874, 142?

GCD of given numbers 354, 704, 874, 142 is 2

2. How to calculate the greatest common divisor of 354, 704, 874, 142?

We can find the highest common divisor of 354, 704, 874, 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 354, 704, 874, 142 i.e 2.

3. How can I use the GCD of 354, 704, 874, 142Calculator?

Out the numbers 354, 704, 874, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.