Highest Common Factor of 9395, 2207, 80536 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 9395, 2207, 80536 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9395, 2207, 80536 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 9395, 2207, 80536 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 9395, 2207, 80536 is 1.

HCF(9395, 2207, 80536) = 1

HCF of 9395, 2207, 80536 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 9395, 2207, 80536 is 1.

Highest Common Factor of 9395,2207,80536 using Euclid's algorithm

Highest Common Factor of 9395,2207,80536 is 1

Step 1: Since 9395 > 2207, we apply the division lemma to 9395 and 2207, to get

9395 = 2207 x 4 + 567

Step 2: Since the reminder 2207 ≠ 0, we apply division lemma to 567 and 2207, to get

2207 = 567 x 3 + 506

Step 3: We consider the new divisor 567 and the new remainder 506, and apply the division lemma to get

567 = 506 x 1 + 61

We consider the new divisor 506 and the new remainder 61,and apply the division lemma to get

506 = 61 x 8 + 18

We consider the new divisor 61 and the new remainder 18,and apply the division lemma to get

61 = 18 x 3 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 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 9395 and 2207 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(61,18) = HCF(506,61) = HCF(567,506) = HCF(2207,567) = HCF(9395,2207) .

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

Step 1: Since 80536 > 1, we apply the division lemma to 80536 and 1, to get

80536 = 1 x 80536 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80536 is 1

Notice that 1 = HCF(80536,1) .

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Frequently Asked Questions on HCF of 9395, 2207, 80536 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 9395, 2207, 80536?

Answer: HCF of 9395, 2207, 80536 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9395, 2207, 80536 using Euclid's Algorithm?

Answer: For arbitrary numbers 9395, 2207, 80536 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.