GCD of 488, 840, 735, 749 Calculator

Given Input numbers are 488, 840, 735, 749

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

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 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 749 :

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

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (488, 840, 735, 749) = 1.

Given numbers are 488, 840, 735, 749

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

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

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 749 are 7 x 107

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

Given numbers are 488, 840, 735, 749

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

Apply this formula for all numbers.

Step1:

LCM(488, 840) = 51240

GCD(488, 840) = ( 488 x 840 ) / 51240

= 488 / 840

= 488

Step2:

LCM(8, 735) = 5880

GCD(8, 735) = ( 8 x 735 ) / 5880

= 8 / 735

= 8

Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 488, 840, 735, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 798, 991, 909
• GCD of 394, 226, 707, 280
• GCD of 874, 893, 329, 528
• GCD of 934, 749, 317, 829
• GCD of 646, 104, 815, 893

Given numbers are 488, 840, 735, 749
The greatest common divisor of numbers 488, 840, 735, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 840, 735, 749 is 1.

1. What is the GCD of 488, 840, 735, 749?

GCD of given numbers 488, 840, 735, 749 is 1

2. How to calculate the greatest common divisor of 488, 840, 735, 749?

We can find the highest common divisor of 488, 840, 735, 749 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 488, 840, 735, 749 i.e 1.

3. How can I use the GCD of 488, 840, 735, 749Calculator?

Out the numbers 488, 840, 735, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.