GCD of 974, 118, 304, 548 Calculator

Given Input numbers are 974, 118, 304, 548

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 118 :

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

1, 2, 59, 118

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

GCD of numbers is the greatest common divisor

So, the GCD (974, 118, 304, 548) = 2.

Given numbers are 974, 118, 304, 548

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 118 are 2 x 59

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 548 are 2 x 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 974, 118, 304, 548 is 2.

Given numbers are 974, 118, 304, 548

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

Apply this formula for all numbers.

Step1:

LCM(974, 118) = 57466

GCD(974, 118) = ( 974 x 118 ) / 57466

= 974 / 118

= 974

Step2:

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

= 2 / 304

= 2

Step3:

LCM(2, 548) = 548

GCD(2, 548) = ( 2 x 548 ) / 548

= 2 / 548

= 2

So, Greatest Common Divisor of 974, 118, 304, 548 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 165, 670, 965
• GCD of 175, 860, 558, 246
• GCD of 953, 527, 637, 237
• GCD of 887, 896, 554, 270
• GCD of 422, 142, 309, 963

Given numbers are 974, 118, 304, 548
The greatest common divisor of numbers 974, 118, 304, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 118, 304, 548 is 2.

1. What is the GCD of 974, 118, 304, 548?

GCD of given numbers 974, 118, 304, 548 is 2

2. How to calculate the greatest common divisor of 974, 118, 304, 548?

We can find the highest common divisor of 974, 118, 304, 548 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, 118, 304, 548 i.e 2.

3. How can I use the GCD of 974, 118, 304, 548Calculator?

Out the numbers 974, 118, 304, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.