GCD of 749, 343, 882 Calculator

Given Input numbers are 749, 343, 882

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 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (749, 343, 882) = 7.

Given numbers are 749, 343, 882

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 343 are 7 x 7 x 7

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 7¹

Therefore, GCD of 749, 343, 882 is 7.

Given numbers are 749, 343, 882

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

Apply this formula for all numbers.

Step1:

LCM(749, 343) = 36701

GCD(749, 343) = ( 749 x 343 ) / 36701

= 749 / 343

= 749

Step2:

LCM(7, 882) = 882

GCD(7, 882) = ( 7 x 882 ) / 882

= 7 / 882

= 7

So, Greatest Common Divisor of 749, 343, 882 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 605, 687
• GCD of 444, 140, 338
• GCD of 599, 188, 262
• GCD of 589, 418, 607
• GCD of 279, 497, 961

Given numbers are 749, 343, 882
The greatest common divisor of numbers 749, 343, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 343, 882 is 7.

1. What is the GCD of 749, 343, 882?

GCD of given numbers 749, 343, 882 is 7

2. How to calculate the greatest common divisor of 749, 343, 882?

We can find the highest common divisor of 749, 343, 882 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, 343, 882 i.e 7.

3. How can I use the GCD of 749, 343, 882Calculator?

Out the numbers 749, 343, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.