GCD of 952, 974, 14, 484 Calculator

Given Input numbers are 952, 974, 14, 484

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

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 974 :

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

1, 2, 487, 974

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

GCD of numbers is the greatest common divisor

So, the GCD (952, 974, 14, 484) = 2.

Given numbers are 952, 974, 14, 484

The list of prime factors of all numbers are

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 974 are 2 x 487

Prime factors of 14 are 2 x 7

Prime factors of 484 are 2 x 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 952, 974, 14, 484 is 2.

Given numbers are 952, 974, 14, 484

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

Apply this formula for all numbers.

Step1:

LCM(952, 974) = 463624

GCD(952, 974) = ( 952 x 974 ) / 463624

= 952 / 974

= 952

Step2:

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

= 2 / 14

= 2

Step3:

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

= 2 / 484

= 2

So, Greatest Common Divisor of 952, 974, 14, 484 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 568, 93, 114
• GCD of 546, 566, 81, 614
• GCD of 767, 437, 71, 430
• GCD of 586, 235, 19, 340
• GCD of 314, 455, 82, 133

Given numbers are 952, 974, 14, 484
The greatest common divisor of numbers 952, 974, 14, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 974, 14, 484 is 2.

1. What is the GCD of 952, 974, 14, 484?

GCD of given numbers 952, 974, 14, 484 is 2

2. How to calculate the greatest common divisor of 952, 974, 14, 484?

We can find the highest common divisor of 952, 974, 14, 484 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 952, 974, 14, 484 i.e 2.

3. How can I use the GCD of 952, 974, 14, 484Calculator?

Out the numbers 952, 974, 14, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.