GCD of 987, 707, 980, 882 Calculator

Given Input numbers are 987, 707, 980, 882

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 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

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 (987, 707, 980, 882) = 7.

Given numbers are 987, 707, 980, 882

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 707 are 7 x 101

Prime factors of 980 are 2 x 2 x 5 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 987, 707, 980, 882 is 7.

Given numbers are 987, 707, 980, 882

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

Apply this formula for all numbers.

Step1:

LCM(987, 707) = 99687

GCD(987, 707) = ( 987 x 707 ) / 99687

= 987 / 707

= 987

Step2:

LCM(7, 980) = 980

GCD(7, 980) = ( 7 x 980 ) / 980

= 7 / 980

= 7

Step3:

LCM(7, 882) = 882

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

= 7 / 882

= 7

So, Greatest Common Divisor of 987, 707, 980, 882 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 674, 847, 510
• GCD of 973, 912, 554, 360
• GCD of 795, 755, 298, 979
• GCD of 757, 896, 517, 275
• GCD of 206, 885, 379, 629

Given numbers are 987, 707, 980, 882
The greatest common divisor of numbers 987, 707, 980, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 707, 980, 882 is 7.

1. What is the GCD of 987, 707, 980, 882?

GCD of given numbers 987, 707, 980, 882 is 7

2. How to calculate the greatest common divisor of 987, 707, 980, 882?

We can find the highest common divisor of 987, 707, 980, 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 987, 707, 980, 882 i.e 7.

3. How can I use the GCD of 987, 707, 980, 882Calculator?

Out the numbers 987, 707, 980, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.