Highest Common Factor of 9782, 4590, 37873 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 9782, 4590, 37873 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9782, 4590, 37873 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 9782, 4590, 37873 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 9782, 4590, 37873 is 1.

HCF(9782, 4590, 37873) = 1

HCF of 9782, 4590, 37873 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 9782, 4590, 37873 is 1.

Highest Common Factor of 9782,4590,37873 using Euclid's algorithm

Highest Common Factor of 9782,4590,37873 is 1

Step 1: Since 9782 > 4590, we apply the division lemma to 9782 and 4590, to get

9782 = 4590 x 2 + 602

Step 2: Since the reminder 4590 ≠ 0, we apply division lemma to 602 and 4590, to get

4590 = 602 x 7 + 376

Step 3: We consider the new divisor 602 and the new remainder 376, and apply the division lemma to get

602 = 376 x 1 + 226

We consider the new divisor 376 and the new remainder 226,and apply the division lemma to get

376 = 226 x 1 + 150

We consider the new divisor 226 and the new remainder 150,and apply the division lemma to get

226 = 150 x 1 + 76

We consider the new divisor 150 and the new remainder 76,and apply the division lemma to get

150 = 76 x 1 + 74

We consider the new divisor 76 and the new remainder 74,and apply the division lemma to get

76 = 74 x 1 + 2

We consider the new divisor 74 and the new remainder 2,and apply the division lemma to get

74 = 2 x 37 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9782 and 4590 is 2

Notice that 2 = HCF(74,2) = HCF(76,74) = HCF(150,76) = HCF(226,150) = HCF(376,226) = HCF(602,376) = HCF(4590,602) = HCF(9782,4590) .

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

Step 1: Since 37873 > 2, we apply the division lemma to 37873 and 2, to get

37873 = 2 x 18936 + 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 37873 is 1

Notice that 1 = HCF(2,1) = HCF(37873,2) .

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Frequently Asked Questions on HCF of 9782, 4590, 37873 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 9782, 4590, 37873?

Answer: HCF of 9782, 4590, 37873 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9782, 4590, 37873 using Euclid's Algorithm?

Answer: For arbitrary numbers 9782, 4590, 37873 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.