GCD of 182, 674, 140, 200 Calculator

Given Input numbers are 182, 674, 140, 200

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

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (182, 674, 140, 200) = 2.

Given numbers are 182, 674, 140, 200

The list of prime factors of all numbers are

Prime factors of 182 are 2 x 7 x 13

Prime factors of 674 are 2 x 337

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 182, 674, 140, 200 is 2.

Given numbers are 182, 674, 140, 200

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

Apply this formula for all numbers.

Step1:

LCM(182, 674) = 61334

GCD(182, 674) = ( 182 x 674 ) / 61334

= 182 / 674

= 182

Step2:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

Step3:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

So, Greatest Common Divisor of 182, 674, 140, 200 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 461, 373, 394
• GCD of 702, 590, 553, 617
• GCD of 686, 181, 266, 314
• GCD of 922, 162, 263, 461
• GCD of 289, 407, 169, 950

Given numbers are 182, 674, 140, 200
The greatest common divisor of numbers 182, 674, 140, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 182, 674, 140, 200 is 2.

1. What is the GCD of 182, 674, 140, 200?

GCD of given numbers 182, 674, 140, 200 is 2

2. How to calculate the greatest common divisor of 182, 674, 140, 200?

We can find the highest common divisor of 182, 674, 140, 200 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 182, 674, 140, 200 i.e 2.

3. How can I use the GCD of 182, 674, 140, 200Calculator?

Out the numbers 182, 674, 140, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.