GCD of 498, 340, 402, 948 Calculator

Given Input numbers are 498, 340, 402, 948

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 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

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

GCD of numbers is the greatest common divisor

So, the GCD (498, 340, 402, 948) = 2.

Given numbers are 498, 340, 402, 948

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 402 are 2 x 3 x 67

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

The highest common occurrence is 2¹

Therefore, GCD of 498, 340, 402, 948 is 2.

Given numbers are 498, 340, 402, 948

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

Apply this formula for all numbers.

Step1:

LCM(498, 340) = 84660

GCD(498, 340) = ( 498 x 340 ) / 84660

= 498 / 340

= 498

Step2:

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

= 2 / 402

= 2

Step3:

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

= 2 / 948

= 2

So, Greatest Common Divisor of 498, 340, 402, 948 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 832, 121, 161, 675
• GCD of 717, 389, 130, 458
• GCD of 989, 159, 207, 792
• GCD of 462, 263, 319, 495
• GCD of 591, 939, 377, 112

Given numbers are 498, 340, 402, 948
The greatest common divisor of numbers 498, 340, 402, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 340, 402, 948 is 2.

1. What is the GCD of 498, 340, 402, 948?

GCD of given numbers 498, 340, 402, 948 is 2

2. How to calculate the greatest common divisor of 498, 340, 402, 948?

We can find the highest common divisor of 498, 340, 402, 948 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, 340, 402, 948 i.e 2.

3. How can I use the GCD of 498, 340, 402, 948Calculator?

Out the numbers 498, 340, 402, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.