GCD of 496, 870, 350, 548 Calculator

Given Input numbers are 496, 870, 350, 548

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

GCD of numbers is the greatest common divisor

So, the GCD (496, 870, 350, 548) = 2.

Given numbers are 496, 870, 350, 548

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 548 are 2 x 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 496, 870, 350, 548 is 2.

Given numbers are 496, 870, 350, 548

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

Apply this formula for all numbers.

Step1:

LCM(496, 870) = 215760

GCD(496, 870) = ( 496 x 870 ) / 215760

= 496 / 870

= 496

Step2:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

Step3:

LCM(2, 548) = 548

GCD(2, 548) = ( 2 x 548 ) / 548

= 2 / 548

= 2

So, Greatest Common Divisor of 496, 870, 350, 548 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 972, 529, 460
• GCD of 785, 119, 593, 166
• GCD of 317, 616, 604, 169
• GCD of 779, 105, 108, 232
• GCD of 267, 860, 195, 333

Given numbers are 496, 870, 350, 548
The greatest common divisor of numbers 496, 870, 350, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 870, 350, 548 is 2.

1. What is the GCD of 496, 870, 350, 548?

GCD of given numbers 496, 870, 350, 548 is 2

2. How to calculate the greatest common divisor of 496, 870, 350, 548?

We can find the highest common divisor of 496, 870, 350, 548 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 496, 870, 350, 548 i.e 2.

3. How can I use the GCD of 496, 870, 350, 548Calculator?

Out the numbers 496, 870, 350, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.