GCD of 200, 708, 965, 142 Calculator

Given Input numbers are 200, 708, 965, 142

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

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

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 (200, 708, 965, 142) = 1.

Given numbers are 200, 708, 965, 142

The list of prime factors of all numbers are

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

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 965 are 5 x 193

Prime factors of 142 are 2 x 71

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 200, 708, 965, 142

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

Apply this formula for all numbers.

Step1:

LCM(200, 708) = 35400

GCD(200, 708) = ( 200 x 708 ) / 35400

= 200 / 708

= 200

Step2:

LCM(4, 965) = 3860

GCD(4, 965) = ( 4 x 965 ) / 3860

= 4 / 965

= 4

Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

So, Greatest Common Divisor of 200, 708, 965, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 616, 883, 489
• GCD of 956, 169, 784, 865
• GCD of 841, 359, 909, 228
• GCD of 266, 325, 126, 360
• GCD of 244, 391, 317, 282

Given numbers are 200, 708, 965, 142
The greatest common divisor of numbers 200, 708, 965, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 708, 965, 142 is 1.

1. What is the GCD of 200, 708, 965, 142?

GCD of given numbers 200, 708, 965, 142 is 1

2. How to calculate the greatest common divisor of 200, 708, 965, 142?

We can find the highest common divisor of 200, 708, 965, 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 200, 708, 965, 142 i.e 1.

3. How can I use the GCD of 200, 708, 965, 142Calculator?

Out the numbers 200, 708, 965, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.