Highest Common Factor of 909, 473, 396, 939 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 909, 473, 396, 939 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 909, 473, 396, 939 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 909, 473, 396, 939 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 909, 473, 396, 939 is 1.

HCF(909, 473, 396, 939) = 1

HCF of 909, 473, 396, 939 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 909, 473, 396, 939 is 1.

Highest Common Factor of 909,473,396,939 using Euclid's algorithm

Highest Common Factor of 909,473,396,939 is 1

Step 1: Since 909 > 473, we apply the division lemma to 909 and 473, to get

909 = 473 x 1 + 436

Step 2: Since the reminder 473 ≠ 0, we apply division lemma to 436 and 473, to get

473 = 436 x 1 + 37

Step 3: We consider the new divisor 436 and the new remainder 37, and apply the division lemma to get

436 = 37 x 11 + 29

We consider the new divisor 37 and the new remainder 29,and apply the division lemma to get

37 = 29 x 1 + 8

We consider the new divisor 29 and the new remainder 8,and apply the division lemma to get

29 = 8 x 3 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 909 and 473 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(29,8) = HCF(37,29) = HCF(436,37) = HCF(473,436) = HCF(909,473) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 396 > 1, we apply the division lemma to 396 and 1, to get

396 = 1 x 396 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 396 is 1

Notice that 1 = HCF(396,1) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 939 > 1, we apply the division lemma to 939 and 1, to get

939 = 1 x 939 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 939 is 1

Notice that 1 = HCF(939,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 909, 473, 396, 939 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 909, 473, 396, 939?

Answer: HCF of 909, 473, 396, 939 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 909, 473, 396, 939 using Euclid's Algorithm?

Answer: For arbitrary numbers 909, 473, 396, 939 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.