GCD of 140, 542, 848, 684 Calculator

Given Input numbers are 140, 542, 848, 684

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 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (140, 542, 848, 684) = 2.

Given numbers are 140, 542, 848, 684

The list of prime factors of all numbers are

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

Prime factors of 542 are 2 x 271

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 140, 542, 848, 684 is 2.

Given numbers are 140, 542, 848, 684

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

Apply this formula for all numbers.

Step1:

LCM(140, 542) = 37940

GCD(140, 542) = ( 140 x 542 ) / 37940

= 140 / 542

= 140

Step2:

LCM(2, 848) = 848

GCD(2, 848) = ( 2 x 848 ) / 848

= 2 / 848

= 2

Step3:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

So, Greatest Common Divisor of 140, 542, 848, 684 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 434, 180, 106
• GCD of 678, 168, 880, 832
• GCD of 815, 896, 611, 551
• GCD of 522, 209, 701, 674
• GCD of 183, 467, 998, 627

Given numbers are 140, 542, 848, 684
The greatest common divisor of numbers 140, 542, 848, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 542, 848, 684 is 2.

1. What is the GCD of 140, 542, 848, 684?

GCD of given numbers 140, 542, 848, 684 is 2

2. How to calculate the greatest common divisor of 140, 542, 848, 684?

We can find the highest common divisor of 140, 542, 848, 684 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, 542, 848, 684 i.e 2.

3. How can I use the GCD of 140, 542, 848, 684Calculator?

Out the numbers 140, 542, 848, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.