GCD of 140, 112, 682, 987 Calculator

Given Input numbers are 140, 112, 682, 987

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 987 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (140, 112, 682, 987) = 1.

Given numbers are 140, 112, 682, 987

The list of prime factors of all numbers are

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 682 are 2 x 11 x 31

Prime factors of 987 are 3 x 7 x 47

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

Given numbers are 140, 112, 682, 987

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

Apply this formula for all numbers.

Step1:

LCM(140, 112) = 560

GCD(140, 112) = ( 140 x 112 ) / 560

= 140 / 112

= 140

Step2:

LCM(28, 682) = 9548

GCD(28, 682) = ( 28 x 682 ) / 9548

= 28 / 682

= 28

Step3:

LCM(2, 987) = 1974

GCD(2, 987) = ( 2 x 987 ) / 1974

= 2 / 987

= 2

So, Greatest Common Divisor of 140, 112, 682, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 154, 931, 328
• GCD of 780, 908, 413, 563
• GCD of 135, 891, 258, 106
• GCD of 270, 744, 101, 645
• GCD of 422, 769, 895, 777

Given numbers are 140, 112, 682, 987
The greatest common divisor of numbers 140, 112, 682, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 112, 682, 987 is 1.

1. What is the GCD of 140, 112, 682, 987?

GCD of given numbers 140, 112, 682, 987 is 1

2. How to calculate the greatest common divisor of 140, 112, 682, 987?

We can find the highest common divisor of 140, 112, 682, 987 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 140, 112, 682, 987 i.e 1.

3. How can I use the GCD of 140, 112, 682, 987Calculator?

Out the numbers 140, 112, 682, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.