GCD of 987, 917, 294, 791 Calculator

Given Input numbers are 987, 917, 294, 791

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

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

GCD of numbers is the greatest common divisor

So, the GCD (987, 917, 294, 791) = 7.

Given numbers are 987, 917, 294, 791

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 917 are 7 x 131

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 791 are 7 x 113

The highest common occurrence is 7¹

Therefore, GCD of 987, 917, 294, 791 is 7.

Given numbers are 987, 917, 294, 791

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

Apply this formula for all numbers.

Step1:

LCM(987, 917) = 129297

GCD(987, 917) = ( 987 x 917 ) / 129297

= 987 / 917

= 987

Step2:

LCM(7, 294) = 294

GCD(7, 294) = ( 7 x 294 ) / 294

= 7 / 294

= 7

Step3:

LCM(7, 791) = 791

GCD(7, 791) = ( 7 x 791 ) / 791

= 7 / 791

= 7

So, Greatest Common Divisor of 987, 917, 294, 791 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 564, 503, 754
• GCD of 863, 695, 220, 193
• GCD of 633, 242, 753, 768
• GCD of 354, 895, 609, 506
• GCD of 887, 403, 837, 795

Given numbers are 987, 917, 294, 791
The greatest common divisor of numbers 987, 917, 294, 791 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 917, 294, 791 is 7.

1. What is the GCD of 987, 917, 294, 791?

GCD of given numbers 987, 917, 294, 791 is 7

2. How to calculate the greatest common divisor of 987, 917, 294, 791?

We can find the highest common divisor of 987, 917, 294, 791 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 987, 917, 294, 791 i.e 7.

3. How can I use the GCD of 987, 917, 294, 791Calculator?

Out the numbers 987, 917, 294, 791 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.