GCD of 680, 200, 954, 298 Calculator

Given Input numbers are 680, 200, 954, 298

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

GCD of numbers is the greatest common divisor

So, the GCD (680, 200, 954, 298) = 2.

Given numbers are 680, 200, 954, 298

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 298 are 2 x 149

The highest common occurrence is 2¹

Therefore, GCD of 680, 200, 954, 298 is 2.

Given numbers are 680, 200, 954, 298

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

Apply this formula for all numbers.

Step1:

LCM(680, 200) = 3400

GCD(680, 200) = ( 680 x 200 ) / 3400

= 680 / 200

= 680

Step2:

LCM(40, 954) = 19080

GCD(40, 954) = ( 40 x 954 ) / 19080

= 40 / 954

= 40

Step3:

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

= 2 / 298

= 2

So, Greatest Common Divisor of 680, 200, 954, 298 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 549, 974, 615
• GCD of 249, 991, 582, 457
• GCD of 316, 230, 499, 846
• GCD of 272, 692, 234, 162
• GCD of 312, 532, 410, 621

Given numbers are 680, 200, 954, 298
The greatest common divisor of numbers 680, 200, 954, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 200, 954, 298 is 2.

1. What is the GCD of 680, 200, 954, 298?

GCD of given numbers 680, 200, 954, 298 is 2

2. How to calculate the greatest common divisor of 680, 200, 954, 298?

We can find the highest common divisor of 680, 200, 954, 298 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 680, 200, 954, 298 i.e 2.

3. How can I use the GCD of 680, 200, 954, 298Calculator?

Out the numbers 680, 200, 954, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.