GCD of 738, 202, 682, 140 Calculator

Given Input numbers are 738, 202, 682, 140

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

Divisors of 682 :

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

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

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 (738, 202, 682, 140) = 2.

Given numbers are 738, 202, 682, 140

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 202 are 2 x 101

Prime factors of 682 are 2 x 11 x 31

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

The highest common occurrence is 2¹

Therefore, GCD of 738, 202, 682, 140 is 2.

Given numbers are 738, 202, 682, 140

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

Apply this formula for all numbers.

Step1:

LCM(738, 202) = 74538

GCD(738, 202) = ( 738 x 202 ) / 74538

= 738 / 202

= 738

Step2:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2

Step3:

LCM(2, 140) = 140

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

= 2 / 140

= 2

So, Greatest Common Divisor of 738, 202, 682, 140 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 888, 164, 957
• GCD of 811, 325, 856, 200
• GCD of 681, 176, 868, 441
• GCD of 267, 471, 786, 844
• GCD of 854, 760, 990, 651

Given numbers are 738, 202, 682, 140
The greatest common divisor of numbers 738, 202, 682, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 202, 682, 140 is 2.

1. What is the GCD of 738, 202, 682, 140?

GCD of given numbers 738, 202, 682, 140 is 2

2. How to calculate the greatest common divisor of 738, 202, 682, 140?

We can find the highest common divisor of 738, 202, 682, 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 738, 202, 682, 140 i.e 2.

3. How can I use the GCD of 738, 202, 682, 140Calculator?

Out the numbers 738, 202, 682, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.