Highest Common Factor of 7104, 9472, 43793 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 7104, 9472, 43793 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7104, 9472, 43793 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 7104, 9472, 43793 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 7104, 9472, 43793 is 1.

HCF(7104, 9472, 43793) = 1

HCF of 7104, 9472, 43793 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 7104, 9472, 43793 is 1.

Highest Common Factor of 7104,9472,43793 using Euclid's algorithm

Highest Common Factor of 7104,9472,43793 is 1

Step 1: Since 9472 > 7104, we apply the division lemma to 9472 and 7104, to get

9472 = 7104 x 1 + 2368

Step 2: Since the reminder 7104 ≠ 0, we apply division lemma to 2368 and 7104, to get

7104 = 2368 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2368, the HCF of 7104 and 9472 is 2368

Notice that 2368 = HCF(7104,2368) = HCF(9472,7104) .

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

Step 1: Since 43793 > 2368, we apply the division lemma to 43793 and 2368, to get

43793 = 2368 x 18 + 1169

Step 2: Since the reminder 2368 ≠ 0, we apply division lemma to 1169 and 2368, to get

2368 = 1169 x 2 + 30

Step 3: We consider the new divisor 1169 and the new remainder 30, and apply the division lemma to get

1169 = 30 x 38 + 29

We consider the new divisor 30 and the new remainder 29,and apply the division lemma to get

30 = 29 x 1 + 1

We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get

29 = 1 x 29 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2368 and 43793 is 1

Notice that 1 = HCF(29,1) = HCF(30,29) = HCF(1169,30) = HCF(2368,1169) = HCF(43793,2368) .

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Frequently Asked Questions on HCF of 7104, 9472, 43793 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 7104, 9472, 43793?

Answer: HCF of 7104, 9472, 43793 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7104, 9472, 43793 using Euclid's Algorithm?

Answer: For arbitrary numbers 7104, 9472, 43793 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.