GCD of 987, 749, 379, 898 Calculator

Given Input numbers are 987, 749, 379, 898

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 749 :

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

1, 7, 107, 749

Divisors of 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (987, 749, 379, 898) = 1.

Given numbers are 987, 749, 379, 898

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 749 are 7 x 107

Prime factors of 379 are 379

Prime factors of 898 are 2 x 449

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

Given numbers are 987, 749, 379, 898

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

Apply this formula for all numbers.

Step1:

LCM(987, 749) = 105609

GCD(987, 749) = ( 987 x 749 ) / 105609

= 987 / 749

= 987

Step2:

LCM(7, 379) = 2653

GCD(7, 379) = ( 7 x 379 ) / 2653

= 7 / 379

= 7

Step3:

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

= 1 / 898

= 1

So, Greatest Common Divisor of 987, 749, 379, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 215, 851, 164
• GCD of 374, 809, 540, 584
• GCD of 542, 765, 455, 347
• GCD of 707, 188, 281, 541
• GCD of 700, 416, 764, 105

Given numbers are 987, 749, 379, 898
The greatest common divisor of numbers 987, 749, 379, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 749, 379, 898 is 1.

1. What is the GCD of 987, 749, 379, 898?

GCD of given numbers 987, 749, 379, 898 is 1

2. How to calculate the greatest common divisor of 987, 749, 379, 898?

We can find the highest common divisor of 987, 749, 379, 898 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, 749, 379, 898 i.e 1.

3. How can I use the GCD of 987, 749, 379, 898Calculator?

Out the numbers 987, 749, 379, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.