GCD of 742, 220, 100, 542 Calculator

Given Input numbers are 742, 220, 100, 542

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 542 :

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

1, 2, 271, 542

GCD of numbers is the greatest common divisor

So, the GCD (742, 220, 100, 542) = 2.

Given numbers are 742, 220, 100, 542

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 542 are 2 x 271

The highest common occurrence is 2¹

Therefore, GCD of 742, 220, 100, 542 is 2.

Given numbers are 742, 220, 100, 542

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

Apply this formula for all numbers.

Step1:

LCM(742, 220) = 81620

GCD(742, 220) = ( 742 x 220 ) / 81620

= 742 / 220

= 742

Step2:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

Step3:

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

= 2 / 542

= 2

So, Greatest Common Divisor of 742, 220, 100, 542 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 863, 636, 823, 313
• GCD of 343, 848, 708, 253
• GCD of 736, 464, 904, 545
• GCD of 962, 844, 313, 594
• GCD of 218, 164, 385, 169

Given numbers are 742, 220, 100, 542
The greatest common divisor of numbers 742, 220, 100, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 220, 100, 542 is 2.

1. What is the GCD of 742, 220, 100, 542?

GCD of given numbers 742, 220, 100, 542 is 2

2. How to calculate the greatest common divisor of 742, 220, 100, 542?

We can find the highest common divisor of 742, 220, 100, 542 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 742, 220, 100, 542 i.e 2.

3. How can I use the GCD of 742, 220, 100, 542Calculator?

Out the numbers 742, 220, 100, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.