Highest Common Factor of 730, 465, 943 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 730, 465, 943 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 730, 465, 943 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 730, 465, 943 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 730, 465, 943 is 1.

HCF(730, 465, 943) = 1

HCF of 730, 465, 943 using Euclid's algorithm

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

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Highest common factor (HCF) of 730, 465, 943 is 1.

Highest Common Factor of 730,465,943 using Euclid's algorithm

Highest Common Factor of 730,465,943 is 1

Step 1: Since 730 > 465, we apply the division lemma to 730 and 465, to get

730 = 465 x 1 + 265

Step 2: Since the reminder 465 ≠ 0, we apply division lemma to 265 and 465, to get

465 = 265 x 1 + 200

Step 3: We consider the new divisor 265 and the new remainder 200, and apply the division lemma to get

265 = 200 x 1 + 65

We consider the new divisor 200 and the new remainder 65,and apply the division lemma to get

200 = 65 x 3 + 5

We consider the new divisor 65 and the new remainder 5,and apply the division lemma to get

65 = 5 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 730 and 465 is 5

Notice that 5 = HCF(65,5) = HCF(200,65) = HCF(265,200) = HCF(465,265) = HCF(730,465) .

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

Step 1: Since 943 > 5, we apply the division lemma to 943 and 5, to get

943 = 5 x 188 + 3

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get

5 = 3 x 1 + 2

Step 3: 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 5 and 943 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(943,5) .

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Frequently Asked Questions on HCF of 730, 465, 943 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 730, 465, 943?

Answer: HCF of 730, 465, 943 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 730, 465, 943 using Euclid's Algorithm?

Answer: For arbitrary numbers 730, 465, 943 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.