Highest Common Factor of 5512, 8569, 80870 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 5512, 8569, 80870 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5512, 8569, 80870 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 5512, 8569, 80870 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 5512, 8569, 80870 is 1.

HCF(5512, 8569, 80870) = 1

HCF of 5512, 8569, 80870 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 5512, 8569, 80870 is 1.

Highest Common Factor of 5512,8569,80870 using Euclid's algorithm

Highest Common Factor of 5512,8569,80870 is 1

Step 1: Since 8569 > 5512, we apply the division lemma to 8569 and 5512, to get

8569 = 5512 x 1 + 3057

Step 2: Since the reminder 5512 ≠ 0, we apply division lemma to 3057 and 5512, to get

5512 = 3057 x 1 + 2455

Step 3: We consider the new divisor 3057 and the new remainder 2455, and apply the division lemma to get

3057 = 2455 x 1 + 602

We consider the new divisor 2455 and the new remainder 602,and apply the division lemma to get

2455 = 602 x 4 + 47

We consider the new divisor 602 and the new remainder 47,and apply the division lemma to get

602 = 47 x 12 + 38

We consider the new divisor 47 and the new remainder 38,and apply the division lemma to get

47 = 38 x 1 + 9

We consider the new divisor 38 and the new remainder 9,and apply the division lemma to get

38 = 9 x 4 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 5512 and 8569 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(38,9) = HCF(47,38) = HCF(602,47) = HCF(2455,602) = HCF(3057,2455) = HCF(5512,3057) = HCF(8569,5512) .

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

Step 1: Since 80870 > 1, we apply the division lemma to 80870 and 1, to get

80870 = 1 x 80870 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80870 is 1

Notice that 1 = HCF(80870,1) .

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Frequently Asked Questions on HCF of 5512, 8569, 80870 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 5512, 8569, 80870?

Answer: HCF of 5512, 8569, 80870 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5512, 8569, 80870 using Euclid's Algorithm?

Answer: For arbitrary numbers 5512, 8569, 80870 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.