GCD of 498, 362, 702 Calculator

Given Input numbers are 498, 362, 702

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 362 :

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

1, 2, 181, 362

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (498, 362, 702) = 2.

Given numbers are 498, 362, 702

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 362 are 2 x 181

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 498, 362, 702 is 2.

Given numbers are 498, 362, 702

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

Apply this formula for all numbers.

Step1:

LCM(498, 362) = 90138

GCD(498, 362) = ( 498 x 362 ) / 90138

= 498 / 362

= 498

Step2:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2

So, Greatest Common Divisor of 498, 362, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 760, 850, 580
• GCD of 748, 429, 881
• GCD of 475, 840, 661
• GCD of 155, 209, 967
• GCD of 497, 504, 113

Given numbers are 498, 362, 702
The greatest common divisor of numbers 498, 362, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 362, 702 is 2.

1. What is the GCD of 498, 362, 702?

GCD of given numbers 498, 362, 702 is 2

2. How to calculate the greatest common divisor of 498, 362, 702?

We can find the highest common divisor of 498, 362, 702 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, 362, 702 i.e 2.

3. How can I use the GCD of 498, 362, 702Calculator?

Out the numbers 498, 362, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.