GCD of 974, 650, 338, 302 Calculator

Given Input numbers are 974, 650, 338, 302

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

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

GCD of numbers is the greatest common divisor

So, the GCD (974, 650, 338, 302) = 2.

Given numbers are 974, 650, 338, 302

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 338 are 2 x 13 x 13

Prime factors of 302 are 2 x 151

The highest common occurrence is 2¹

Therefore, GCD of 974, 650, 338, 302 is 2.

Given numbers are 974, 650, 338, 302

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

Apply this formula for all numbers.

Step1:

LCM(974, 650) = 316550

GCD(974, 650) = ( 974 x 650 ) / 316550

= 974 / 650

= 974

Step2:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

Step3:

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

= 2 / 302

= 2

So, Greatest Common Divisor of 974, 650, 338, 302 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 674, 558, 258, 902
• GCD of 503, 426, 251, 781
• GCD of 406, 363, 349, 645
• GCD of 300, 625, 236, 686
• GCD of 588, 947, 947, 462

Given numbers are 974, 650, 338, 302
The greatest common divisor of numbers 974, 650, 338, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 650, 338, 302 is 2.

1. What is the GCD of 974, 650, 338, 302?

GCD of given numbers 974, 650, 338, 302 is 2

2. How to calculate the greatest common divisor of 974, 650, 338, 302?

We can find the highest common divisor of 974, 650, 338, 302 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 974, 650, 338, 302 i.e 2.

3. How can I use the GCD of 974, 650, 338, 302Calculator?

Out the numbers 974, 650, 338, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.