GCD of 354, 840, 148, 538 Calculator

Given Input numbers are 354, 840, 148, 538

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (354, 840, 148, 538) = 2.

Given numbers are 354, 840, 148, 538

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 148 are 2 x 2 x 37

Prime factors of 538 are 2 x 269

The highest common occurrence is 2¹

Therefore, GCD of 354, 840, 148, 538 is 2.

Given numbers are 354, 840, 148, 538

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

Apply this formula for all numbers.

Step1:

LCM(354, 840) = 49560

GCD(354, 840) = ( 354 x 840 ) / 49560

= 354 / 840

= 354

Step2:

LCM(6, 148) = 444

GCD(6, 148) = ( 6 x 148 ) / 444

= 6 / 148

= 6

Step3:

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

= 2 / 538

= 2

So, Greatest Common Divisor of 354, 840, 148, 538 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 566, 463, 902
• GCD of 628, 460, 654, 994
• GCD of 994, 965, 468, 886
• GCD of 714, 770, 307, 123
• GCD of 422, 161, 277, 360

Given numbers are 354, 840, 148, 538
The greatest common divisor of numbers 354, 840, 148, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 840, 148, 538 is 2.

1. What is the GCD of 354, 840, 148, 538?

GCD of given numbers 354, 840, 148, 538 is 2

2. How to calculate the greatest common divisor of 354, 840, 148, 538?

We can find the highest common divisor of 354, 840, 148, 538 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 354, 840, 148, 538 i.e 2.

3. How can I use the GCD of 354, 840, 148, 538Calculator?

Out the numbers 354, 840, 148, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.