GCD of 274, 784, 964, 976 Calculator

Given Input numbers are 274, 784, 964, 976

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

Divisors of 274 :

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

1, 2, 137, 274

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

GCD of numbers is the greatest common divisor

So, the GCD (274, 784, 964, 976) = 2.

Given numbers are 274, 784, 964, 976

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 964 are 2 x 2 x 241

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 274, 784, 964, 976 is 2.

Given numbers are 274, 784, 964, 976

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

Apply this formula for all numbers.

Step1:

LCM(274, 784) = 107408

GCD(274, 784) = ( 274 x 784 ) / 107408

= 274 / 784

= 274

Step2:

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

= 2 / 964

= 2

Step3:

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

= 2 / 976

= 2

So, Greatest Common Divisor of 274, 784, 964, 976 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 487, 303, 792
• GCD of 549, 401, 727, 545
• GCD of 168, 131, 753, 952
• GCD of 371, 966, 279, 304
• GCD of 327, 802, 518, 921

Given numbers are 274, 784, 964, 976
The greatest common divisor of numbers 274, 784, 964, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 784, 964, 976 is 2.

1. What is the GCD of 274, 784, 964, 976?

GCD of given numbers 274, 784, 964, 976 is 2

2. How to calculate the greatest common divisor of 274, 784, 964, 976?

We can find the highest common divisor of 274, 784, 964, 976 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 274, 784, 964, 976 i.e 2.

3. How can I use the GCD of 274, 784, 964, 976Calculator?

Out the numbers 274, 784, 964, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.