GCD of 749, 616, 354, 477 Calculator

Given Input numbers are 749, 616, 354, 477

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 354 :

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

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

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

GCD of numbers is the greatest common divisor

So, the GCD (749, 616, 354, 477) = 1.

Given numbers are 749, 616, 354, 477

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 354 are 2 x 3 x 59

Prime factors of 477 are 3 x 3 x 53

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 749, 616, 354, 477

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

Apply this formula for all numbers.

Step1:

LCM(749, 616) = 65912

GCD(749, 616) = ( 749 x 616 ) / 65912

= 749 / 616

= 749

Step2:

LCM(7, 354) = 2478

GCD(7, 354) = ( 7 x 354 ) / 2478

= 7 / 354

= 7

Step3:

LCM(1, 477) = 477

GCD(1, 477) = ( 1 x 477 ) / 477

= 1 / 477

= 1

So, Greatest Common Divisor of 749, 616, 354, 477 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 104, 996, 793
• GCD of 598, 993, 775, 871
• GCD of 941, 516, 853, 708
• GCD of 141, 490, 228, 942
• GCD of 835, 456, 878, 636

Given numbers are 749, 616, 354, 477
The greatest common divisor of numbers 749, 616, 354, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 616, 354, 477 is 1.

1. What is the GCD of 749, 616, 354, 477?

GCD of given numbers 749, 616, 354, 477 is 1

2. How to calculate the greatest common divisor of 749, 616, 354, 477?

We can find the highest common divisor of 749, 616, 354, 477 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 749, 616, 354, 477 i.e 1.

3. How can I use the GCD of 749, 616, 354, 477Calculator?

Out the numbers 749, 616, 354, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.