GCD of 688, 534, 74, 140 Calculator

Given Input numbers are 688, 534, 74, 140

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

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

GCD of numbers is the greatest common divisor

So, the GCD (688, 534, 74, 140) = 2.

Given numbers are 688, 534, 74, 140

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 534 are 2 x 3 x 89

Prime factors of 74 are 2 x 37

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

The highest common occurrence is 2¹

Therefore, GCD of 688, 534, 74, 140 is 2.

Given numbers are 688, 534, 74, 140

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

Apply this formula for all numbers.

Step1:

LCM(688, 534) = 183696

GCD(688, 534) = ( 688 x 534 ) / 183696

= 688 / 534

= 688

Step2:

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

= 2 / 74

= 2

Step3:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

So, Greatest Common Divisor of 688, 534, 74, 140 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 455, 67, 788
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• GCD of 332, 723, 49, 714
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• GCD of 664, 143, 61, 169

Given numbers are 688, 534, 74, 140
The greatest common divisor of numbers 688, 534, 74, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 534, 74, 140 is 2.

1. What is the GCD of 688, 534, 74, 140?

GCD of given numbers 688, 534, 74, 140 is 2

2. How to calculate the greatest common divisor of 688, 534, 74, 140?

We can find the highest common divisor of 688, 534, 74, 140 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 688, 534, 74, 140 i.e 2.

3. How can I use the GCD of 688, 534, 74, 140Calculator?

Out the numbers 688, 534, 74, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.