GCD of 472, 708, 354 Calculator

Given Input numbers are 472, 708, 354

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 354 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (472, 708, 354) = 118.

Given numbers are 472, 708, 354

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹ x 59¹

Therefore, GCD of 472, 708, 354 is 118.

Given numbers are 472, 708, 354

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

Apply this formula for all numbers.

Step1:

LCM(472, 708) = 1416

GCD(472, 708) = ( 472 x 708 ) / 1416

= 472 / 708

= 472

Step2:

LCM(236, 354) = 708

GCD(236, 354) = ( 236 x 354 ) / 708

= 236 / 354

= 236

So, Greatest Common Divisor of 472, 708, 354 is 118

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 915, 680
• GCD of 694, 238, 161
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Given numbers are 472, 708, 354
The greatest common divisor of numbers 472, 708, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 708, 354 is 118.

1. What is the GCD of 472, 708, 354?

GCD of given numbers 472, 708, 354 is 118

2. How to calculate the greatest common divisor of 472, 708, 354?

We can find the highest common divisor of 472, 708, 354 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 472, 708, 354 i.e 118.

3. How can I use the GCD of 472, 708, 354Calculator?

Out the numbers 472, 708, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.