GCD of 471, 522, 702, 354 Calculator

Given Input numbers are 471, 522, 702, 354

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

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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 (471, 522, 702, 354) = 3.

Given numbers are 471, 522, 702, 354

The list of prime factors of all numbers are

Prime factors of 471 are 3 x 157

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 471, 522, 702, 354 is 3.

Given numbers are 471, 522, 702, 354

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

Apply this formula for all numbers.

Step1:

LCM(471, 522) = 81954

GCD(471, 522) = ( 471 x 522 ) / 81954

= 471 / 522

= 471

Step2:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3

Step3:

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

= 3 / 354

= 3

So, Greatest Common Divisor of 471, 522, 702, 354 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 827, 913, 256
• GCD of 534, 931, 247, 525
• GCD of 795, 735, 549, 161
• GCD of 779, 438, 512, 781
• GCD of 883, 980, 186, 174

Given numbers are 471, 522, 702, 354
The greatest common divisor of numbers 471, 522, 702, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 522, 702, 354 is 3.

1. What is the GCD of 471, 522, 702, 354?

GCD of given numbers 471, 522, 702, 354 is 3

2. How to calculate the greatest common divisor of 471, 522, 702, 354?

We can find the highest common divisor of 471, 522, 702, 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 471, 522, 702, 354 i.e 3.

3. How can I use the GCD of 471, 522, 702, 354Calculator?

Out the numbers 471, 522, 702, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.