GCD of 138, 740, 402, 160 Calculator

Given Input numbers are 138, 740, 402, 160

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (138, 740, 402, 160) = 2.

Given numbers are 138, 740, 402, 160

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 402 are 2 x 3 x 67

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 138, 740, 402, 160 is 2.

Given numbers are 138, 740, 402, 160

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

Apply this formula for all numbers.

Step1:

LCM(138, 740) = 51060

GCD(138, 740) = ( 138 x 740 ) / 51060

= 138 / 740

= 138

Step2:

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

= 2 / 402

= 2

Step3:

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

= 2 / 160

= 2

So, Greatest Common Divisor of 138, 740, 402, 160 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 946, 445, 161
• GCD of 488, 453, 326, 461
• GCD of 761, 987, 338, 270
• GCD of 959, 456, 253, 937
• GCD of 817, 145, 226, 100

Given numbers are 138, 740, 402, 160
The greatest common divisor of numbers 138, 740, 402, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 740, 402, 160 is 2.

1. What is the GCD of 138, 740, 402, 160?

GCD of given numbers 138, 740, 402, 160 is 2

2. How to calculate the greatest common divisor of 138, 740, 402, 160?

We can find the highest common divisor of 138, 740, 402, 160 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 138, 740, 402, 160 i.e 2.

3. How can I use the GCD of 138, 740, 402, 160Calculator?

Out the numbers 138, 740, 402, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.