GCD of 140, 686, 990, 672 Calculator

Given Input numbers are 140, 686, 990, 672

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 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (140, 686, 990, 672) = 2.

Given numbers are 140, 686, 990, 672

The list of prime factors of all numbers are

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

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 140, 686, 990, 672 is 2.

Given numbers are 140, 686, 990, 672

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

Apply this formula for all numbers.

Step1:

LCM(140, 686) = 6860

GCD(140, 686) = ( 140 x 686 ) / 6860

= 140 / 686

= 140

Step2:

LCM(14, 990) = 6930

GCD(14, 990) = ( 14 x 990 ) / 6930

= 14 / 990

= 14

Step3:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2

So, Greatest Common Divisor of 140, 686, 990, 672 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 378, 783, 568
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• GCD of 844, 803, 352, 283

Given numbers are 140, 686, 990, 672
The greatest common divisor of numbers 140, 686, 990, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 686, 990, 672 is 2.

1. What is the GCD of 140, 686, 990, 672?

GCD of given numbers 140, 686, 990, 672 is 2

2. How to calculate the greatest common divisor of 140, 686, 990, 672?

We can find the highest common divisor of 140, 686, 990, 672 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, 686, 990, 672 i.e 2.

3. How can I use the GCD of 140, 686, 990, 672Calculator?

Out the numbers 140, 686, 990, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.