GCD of 498, 354, 362, 760 Calculator

Given Input numbers are 498, 354, 362, 760

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

Divisors of 498 :

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

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

GCD of numbers is the greatest common divisor

So, the GCD (498, 354, 362, 760) = 2.

Given numbers are 498, 354, 362, 760

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 354 are 2 x 3 x 59

Prime factors of 362 are 2 x 181

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 498, 354, 362, 760 is 2.

Given numbers are 498, 354, 362, 760

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

Apply this formula for all numbers.

Step1:

LCM(498, 354) = 29382

GCD(498, 354) = ( 498 x 354 ) / 29382

= 498 / 354

= 498

Step2:

LCM(6, 362) = 1086

GCD(6, 362) = ( 6 x 362 ) / 1086

= 6 / 362

= 6

Step3:

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

= 2 / 760

= 2

So, Greatest Common Divisor of 498, 354, 362, 760 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 702, 264, 489
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• GCD of 730, 301, 653, 668
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• GCD of 880, 916, 217, 628

Given numbers are 498, 354, 362, 760
The greatest common divisor of numbers 498, 354, 362, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 354, 362, 760 is 2.

1. What is the GCD of 498, 354, 362, 760?

GCD of given numbers 498, 354, 362, 760 is 2

2. How to calculate the greatest common divisor of 498, 354, 362, 760?

We can find the highest common divisor of 498, 354, 362, 760 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 498, 354, 362, 760 i.e 2.

3. How can I use the GCD of 498, 354, 362, 760Calculator?

Out the numbers 498, 354, 362, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.