GCD of 994, 749, 343, 876 Calculator

Given Input numbers are 994, 749, 343, 876

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

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

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 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

GCD of numbers is the greatest common divisor

So, the GCD (994, 749, 343, 876) = 1.

Given numbers are 994, 749, 343, 876

The list of prime factors of all numbers are

Prime factors of 994 are 2 x 7 x 71

Prime factors of 749 are 7 x 107

Prime factors of 343 are 7 x 7 x 7

Prime factors of 876 are 2 x 2 x 3 x 73

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

Given numbers are 994, 749, 343, 876

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

Apply this formula for all numbers.

Step1:

LCM(994, 749) = 106358

GCD(994, 749) = ( 994 x 749 ) / 106358

= 994 / 749

= 994

Step2:

LCM(7, 343) = 343

GCD(7, 343) = ( 7 x 343 ) / 343

= 7 / 343

= 7

Step3:

LCM(7, 876) = 6132

GCD(7, 876) = ( 7 x 876 ) / 6132

= 7 / 876

= 7

So, Greatest Common Divisor of 994, 749, 343, 876 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 874, 388, 925
• GCD of 347, 861, 613, 992
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• GCD of 985, 705, 907, 172

Given numbers are 994, 749, 343, 876
The greatest common divisor of numbers 994, 749, 343, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 749, 343, 876 is 1.

1. What is the GCD of 994, 749, 343, 876?

GCD of given numbers 994, 749, 343, 876 is 1

2. How to calculate the greatest common divisor of 994, 749, 343, 876?

We can find the highest common divisor of 994, 749, 343, 876 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 994, 749, 343, 876 i.e 1.

3. How can I use the GCD of 994, 749, 343, 876Calculator?

Out the numbers 994, 749, 343, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.