GCD of 742, 980, 476 Calculator

Given Input numbers are 742, 980, 476

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 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

GCD of numbers is the greatest common divisor

So, the GCD (742, 980, 476) = 14.

Given numbers are 742, 980, 476

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 476 are 2 x 2 x 7 x 17

The highest common occurrence is 2¹ x 7¹

Therefore, GCD of 742, 980, 476 is 14.

Given numbers are 742, 980, 476

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

Apply this formula for all numbers.

Step1:

LCM(742, 980) = 51940

GCD(742, 980) = ( 742 x 980 ) / 51940

= 742 / 980

= 742

Step2:

LCM(14, 476) = 476

GCD(14, 476) = ( 14 x 476 ) / 476

= 14 / 476

= 14

So, Greatest Common Divisor of 742, 980, 476 is 14

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 526, 532
• GCD of 425, 581, 635
• GCD of 384, 538, 455
• GCD of 679, 388, 379
• GCD of 971, 849, 169

Given numbers are 742, 980, 476
The greatest common divisor of numbers 742, 980, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 980, 476 is 14.

1. What is the GCD of 742, 980, 476?

GCD of given numbers 742, 980, 476 is 14

2. How to calculate the greatest common divisor of 742, 980, 476?

We can find the highest common divisor of 742, 980, 476 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, 980, 476 i.e 14.

3. How can I use the GCD of 742, 980, 476Calculator?

Out the numbers 742, 980, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.