GCD of 987, 942, 781, 144 Calculator

Given Input numbers are 987, 942, 781, 144

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 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 781 :

The positive integer divisors of 781 that completely divides 781 are.

1, 11, 71, 781

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (987, 942, 781, 144) = 1.

Given numbers are 987, 942, 781, 144

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 942 are 2 x 3 x 157

Prime factors of 781 are 11 x 71

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 987, 942, 781, 144

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

Apply this formula for all numbers.

Step1:

LCM(987, 942) = 309918

GCD(987, 942) = ( 987 x 942 ) / 309918

= 987 / 942

= 987

Step2:

LCM(3, 781) = 2343

GCD(3, 781) = ( 3 x 781 ) / 2343

= 3 / 781

= 3

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 987, 942, 781, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 846, 795, 746
• GCD of 571, 250, 102, 109
• GCD of 659, 388, 654, 108
• GCD of 423, 570, 372, 432
• GCD of 649, 287, 980, 747

Given numbers are 987, 942, 781, 144
The greatest common divisor of numbers 987, 942, 781, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 942, 781, 144 is 1.

1. What is the GCD of 987, 942, 781, 144?

GCD of given numbers 987, 942, 781, 144 is 1

2. How to calculate the greatest common divisor of 987, 942, 781, 144?

We can find the highest common divisor of 987, 942, 781, 144 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, 942, 781, 144 i.e 1.

3. How can I use the GCD of 987, 942, 781, 144Calculator?

Out the numbers 987, 942, 781, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.