GCD of 274, 704, 982, 498 Calculator

Given Input numbers are 274, 704, 982, 498

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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

GCD of numbers is the greatest common divisor

So, the GCD (274, 704, 982, 498) = 2.

Given numbers are 274, 704, 982, 498

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 982 are 2 x 491

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 274, 704, 982, 498 is 2.

Given numbers are 274, 704, 982, 498

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

Apply this formula for all numbers.

Step1:

LCM(274, 704) = 96448

GCD(274, 704) = ( 274 x 704 ) / 96448

= 274 / 704

= 274

Step2:

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

= 2 / 982

= 2

Step3:

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

= 2 / 498

= 2

So, Greatest Common Divisor of 274, 704, 982, 498 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 864, 830, 633
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Given numbers are 274, 704, 982, 498
The greatest common divisor of numbers 274, 704, 982, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 704, 982, 498 is 2.

1. What is the GCD of 274, 704, 982, 498?

GCD of given numbers 274, 704, 982, 498 is 2

2. How to calculate the greatest common divisor of 274, 704, 982, 498?

We can find the highest common divisor of 274, 704, 982, 498 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, 704, 982, 498 i.e 2.

3. How can I use the GCD of 274, 704, 982, 498Calculator?

Out the numbers 274, 704, 982, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.