Highest Common Factor of 4597, 8955, 70583 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 4597, 8955, 70583 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4597, 8955, 70583 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 4597, 8955, 70583 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 4597, 8955, 70583 is 1.

HCF(4597, 8955, 70583) = 1

HCF of 4597, 8955, 70583 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 4597, 8955, 70583 is 1.

Highest Common Factor of 4597,8955,70583 using Euclid's algorithm

Highest Common Factor of 4597,8955,70583 is 1

Step 1: Since 8955 > 4597, we apply the division lemma to 8955 and 4597, to get

8955 = 4597 x 1 + 4358

Step 2: Since the reminder 4597 ≠ 0, we apply division lemma to 4358 and 4597, to get

4597 = 4358 x 1 + 239

Step 3: We consider the new divisor 4358 and the new remainder 239, and apply the division lemma to get

4358 = 239 x 18 + 56

We consider the new divisor 239 and the new remainder 56,and apply the division lemma to get

239 = 56 x 4 + 15

We consider the new divisor 56 and the new remainder 15,and apply the division lemma to get

56 = 15 x 3 + 11

We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get

15 = 11 x 1 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4597 and 8955 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(56,15) = HCF(239,56) = HCF(4358,239) = HCF(4597,4358) = HCF(8955,4597) .

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

Step 1: Since 70583 > 1, we apply the division lemma to 70583 and 1, to get

70583 = 1 x 70583 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70583 is 1

Notice that 1 = HCF(70583,1) .

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Frequently Asked Questions on HCF of 4597, 8955, 70583 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 4597, 8955, 70583?

Answer: HCF of 4597, 8955, 70583 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4597, 8955, 70583 using Euclid's Algorithm?

Answer: For arbitrary numbers 4597, 8955, 70583 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.