GCD of 498, 948, 316, 691 Calculator

Given Input numbers are 498, 948, 316, 691

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 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

GCD of numbers is the greatest common divisor

So, the GCD (498, 948, 316, 691) = 1.

Given numbers are 498, 948, 316, 691

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 316 are 2 x 2 x 79

Prime factors of 691 are 691

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 498, 948, 316, 691

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

Apply this formula for all numbers.

Step1:

LCM(498, 948) = 78684

GCD(498, 948) = ( 498 x 948 ) / 78684

= 498 / 948

= 498

Step2:

LCM(6, 316) = 948

GCD(6, 316) = ( 6 x 316 ) / 948

= 6 / 316

= 6

Step3:

LCM(2, 691) = 1382

GCD(2, 691) = ( 2 x 691 ) / 1382

= 2 / 691

= 2

So, Greatest Common Divisor of 498, 948, 316, 691 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 402, 595, 890, 906
• GCD of 378, 210, 560, 656
• GCD of 448, 833, 425, 761
• GCD of 591, 674, 923, 952
• GCD of 664, 456, 755, 790

Given numbers are 498, 948, 316, 691
The greatest common divisor of numbers 498, 948, 316, 691 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 948, 316, 691 is 1.

1. What is the GCD of 498, 948, 316, 691?

GCD of given numbers 498, 948, 316, 691 is 1

2. How to calculate the greatest common divisor of 498, 948, 316, 691?

We can find the highest common divisor of 498, 948, 316, 691 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, 948, 316, 691 i.e 1.

3. How can I use the GCD of 498, 948, 316, 691Calculator?

Out the numbers 498, 948, 316, 691 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.