GCD of 498, 448, 788, 292 Calculator

Given Input numbers are 498, 448, 788, 292

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 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

GCD of numbers is the greatest common divisor

So, the GCD (498, 448, 788, 292) = 2.

Given numbers are 498, 448, 788, 292

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 788 are 2 x 2 x 197

Prime factors of 292 are 2 x 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 498, 448, 788, 292 is 2.

Given numbers are 498, 448, 788, 292

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

Apply this formula for all numbers.

Step1:

LCM(498, 448) = 111552

GCD(498, 448) = ( 498 x 448 ) / 111552

= 498 / 448

= 498

Step2:

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

= 2 / 788

= 2

Step3:

LCM(2, 292) = 292

GCD(2, 292) = ( 2 x 292 ) / 292

= 2 / 292

= 2

So, Greatest Common Divisor of 498, 448, 788, 292 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 593, 848, 773
• GCD of 478, 378, 110, 232
• GCD of 285, 452, 172, 988
• GCD of 143, 729, 621, 191
• GCD of 768, 121, 759, 978

Given numbers are 498, 448, 788, 292
The greatest common divisor of numbers 498, 448, 788, 292 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 448, 788, 292 is 2.

1. What is the GCD of 498, 448, 788, 292?

GCD of given numbers 498, 448, 788, 292 is 2

2. How to calculate the greatest common divisor of 498, 448, 788, 292?

We can find the highest common divisor of 498, 448, 788, 292 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, 448, 788, 292 i.e 2.

3. How can I use the GCD of 498, 448, 788, 292Calculator?

Out the numbers 498, 448, 788, 292 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.