GCD of 988, 374, 274, 120 Calculator

Given Input numbers are 988, 374, 274, 120

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

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (988, 374, 274, 120) = 2.

Given numbers are 988, 374, 274, 120

The list of prime factors of all numbers are

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 374 are 2 x 11 x 17

Prime factors of 274 are 2 x 137

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 988, 374, 274, 120 is 2.

Given numbers are 988, 374, 274, 120

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

Apply this formula for all numbers.

Step1:

LCM(988, 374) = 184756

GCD(988, 374) = ( 988 x 374 ) / 184756

= 988 / 374

= 988

Step2:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 988, 374, 274, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 360, 514, 979
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• GCD of 487, 504, 506, 256
• GCD of 672, 218, 353, 745
• GCD of 711, 791, 217, 588

Given numbers are 988, 374, 274, 120
The greatest common divisor of numbers 988, 374, 274, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 374, 274, 120 is 2.

1. What is the GCD of 988, 374, 274, 120?

GCD of given numbers 988, 374, 274, 120 is 2

2. How to calculate the greatest common divisor of 988, 374, 274, 120?

We can find the highest common divisor of 988, 374, 274, 120 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 988, 374, 274, 120 i.e 2.

3. How can I use the GCD of 988, 374, 274, 120Calculator?

Out the numbers 988, 374, 274, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.