Highest Common Factor of 5617, 8526, 47574 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 5617, 8526, 47574 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5617, 8526, 47574 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 5617, 8526, 47574 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 5617, 8526, 47574 is 1.

HCF(5617, 8526, 47574) = 1

HCF of 5617, 8526, 47574 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 5617, 8526, 47574 is 1.

Highest Common Factor of 5617,8526,47574 using Euclid's algorithm

Highest Common Factor of 5617,8526,47574 is 1

Step 1: Since 8526 > 5617, we apply the division lemma to 8526 and 5617, to get

8526 = 5617 x 1 + 2909

Step 2: Since the reminder 5617 ≠ 0, we apply division lemma to 2909 and 5617, to get

5617 = 2909 x 1 + 2708

Step 3: We consider the new divisor 2909 and the new remainder 2708, and apply the division lemma to get

2909 = 2708 x 1 + 201

We consider the new divisor 2708 and the new remainder 201,and apply the division lemma to get

2708 = 201 x 13 + 95

We consider the new divisor 201 and the new remainder 95,and apply the division lemma to get

201 = 95 x 2 + 11

We consider the new divisor 95 and the new remainder 11,and apply the division lemma to get

95 = 11 x 8 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 5617 and 8526 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(95,11) = HCF(201,95) = HCF(2708,201) = HCF(2909,2708) = HCF(5617,2909) = HCF(8526,5617) .

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

Step 1: Since 47574 > 1, we apply the division lemma to 47574 and 1, to get

47574 = 1 x 47574 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 47574 is 1

Notice that 1 = HCF(47574,1) .

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Frequently Asked Questions on HCF of 5617, 8526, 47574 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 5617, 8526, 47574?

Answer: HCF of 5617, 8526, 47574 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5617, 8526, 47574 using Euclid's Algorithm?

Answer: For arbitrary numbers 5617, 8526, 47574 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.