Highest Common Factor of 1382, 9204, 50405 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 1382, 9204, 50405 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1382, 9204, 50405 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 1382, 9204, 50405 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 1382, 9204, 50405 is 1.

HCF(1382, 9204, 50405) = 1

HCF of 1382, 9204, 50405 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 1382, 9204, 50405 is 1.

Highest Common Factor of 1382,9204,50405 using Euclid's algorithm

Highest Common Factor of 1382,9204,50405 is 1

Step 1: Since 9204 > 1382, we apply the division lemma to 9204 and 1382, to get

9204 = 1382 x 6 + 912

Step 2: Since the reminder 1382 ≠ 0, we apply division lemma to 912 and 1382, to get

1382 = 912 x 1 + 470

Step 3: We consider the new divisor 912 and the new remainder 470, and apply the division lemma to get

912 = 470 x 1 + 442

We consider the new divisor 470 and the new remainder 442,and apply the division lemma to get

470 = 442 x 1 + 28

We consider the new divisor 442 and the new remainder 28,and apply the division lemma to get

442 = 28 x 15 + 22

We consider the new divisor 28 and the new remainder 22,and apply the division lemma to get

28 = 22 x 1 + 6

We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get

22 = 6 x 3 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1382 and 9204 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(28,22) = HCF(442,28) = HCF(470,442) = HCF(912,470) = HCF(1382,912) = HCF(9204,1382) .

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

Step 1: Since 50405 > 2, we apply the division lemma to 50405 and 2, to get

50405 = 2 x 25202 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 50405 is 1

Notice that 1 = HCF(2,1) = HCF(50405,2) .

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Frequently Asked Questions on HCF of 1382, 9204, 50405 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 1382, 9204, 50405?

Answer: HCF of 1382, 9204, 50405 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1382, 9204, 50405 using Euclid's Algorithm?

Answer: For arbitrary numbers 1382, 9204, 50405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.