Highest Common Factor of 9686, 6383, 55578 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 9686, 6383, 55578 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9686, 6383, 55578 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 9686, 6383, 55578 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 9686, 6383, 55578 is 1.

HCF(9686, 6383, 55578) = 1

HCF of 9686, 6383, 55578 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 9686, 6383, 55578 is 1.

Highest Common Factor of 9686,6383,55578 using Euclid's algorithm

Highest Common Factor of 9686,6383,55578 is 1

Step 1: Since 9686 > 6383, we apply the division lemma to 9686 and 6383, to get

9686 = 6383 x 1 + 3303

Step 2: Since the reminder 6383 ≠ 0, we apply division lemma to 3303 and 6383, to get

6383 = 3303 x 1 + 3080

Step 3: We consider the new divisor 3303 and the new remainder 3080, and apply the division lemma to get

3303 = 3080 x 1 + 223

We consider the new divisor 3080 and the new remainder 223,and apply the division lemma to get

3080 = 223 x 13 + 181

We consider the new divisor 223 and the new remainder 181,and apply the division lemma to get

223 = 181 x 1 + 42

We consider the new divisor 181 and the new remainder 42,and apply the division lemma to get

181 = 42 x 4 + 13

We consider the new divisor 42 and the new remainder 13,and apply the division lemma to get

42 = 13 x 3 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 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 9686 and 6383 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(42,13) = HCF(181,42) = HCF(223,181) = HCF(3080,223) = HCF(3303,3080) = HCF(6383,3303) = HCF(9686,6383) .

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

Step 1: Since 55578 > 1, we apply the division lemma to 55578 and 1, to get

55578 = 1 x 55578 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 55578 is 1

Notice that 1 = HCF(55578,1) .

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Frequently Asked Questions on HCF of 9686, 6383, 55578 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 9686, 6383, 55578?

Answer: HCF of 9686, 6383, 55578 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9686, 6383, 55578 using Euclid's Algorithm?

Answer: For arbitrary numbers 9686, 6383, 55578 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.