GCD of 200, 262, 970, 118 Calculator

Given Input numbers are 200, 262, 970, 118

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 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

GCD of numbers is the greatest common divisor

So, the GCD (200, 262, 970, 118) = 2.

Given numbers are 200, 262, 970, 118

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 262 are 2 x 131

Prime factors of 970 are 2 x 5 x 97

Prime factors of 118 are 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 200, 262, 970, 118 is 2.

Given numbers are 200, 262, 970, 118

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

Apply this formula for all numbers.

Step1:

LCM(200, 262) = 26200

GCD(200, 262) = ( 200 x 262 ) / 26200

= 200 / 262

= 200

Step2:

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

= 2 / 970

= 2

Step3:

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

= 2 / 118

= 2

So, Greatest Common Divisor of 200, 262, 970, 118 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 891, 554, 532
• GCD of 385, 997, 994, 286
• GCD of 587, 241, 119, 624
• GCD of 986, 353, 404, 101
• GCD of 851, 109, 926, 643

Given numbers are 200, 262, 970, 118
The greatest common divisor of numbers 200, 262, 970, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 262, 970, 118 is 2.

1. What is the GCD of 200, 262, 970, 118?

GCD of given numbers 200, 262, 970, 118 is 2

2. How to calculate the greatest common divisor of 200, 262, 970, 118?

We can find the highest common divisor of 200, 262, 970, 118 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, 262, 970, 118 i.e 2.

3. How can I use the GCD of 200, 262, 970, 118Calculator?

Out the numbers 200, 262, 970, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.