Highest Common Factor of 886, 642, 679 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 886, 642, 679 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 886, 642, 679 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 886, 642, 679 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 886, 642, 679 is 1.

HCF(886, 642, 679) = 1

HCF of 886, 642, 679 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 886, 642, 679 is 1.

Highest Common Factor of 886,642,679 using Euclid's algorithm

Highest Common Factor of 886,642,679 is 1

Step 1: Since 886 > 642, we apply the division lemma to 886 and 642, to get

886 = 642 x 1 + 244

Step 2: Since the reminder 642 ≠ 0, we apply division lemma to 244 and 642, to get

642 = 244 x 2 + 154

Step 3: We consider the new divisor 244 and the new remainder 154, and apply the division lemma to get

244 = 154 x 1 + 90

We consider the new divisor 154 and the new remainder 90,and apply the division lemma to get

154 = 90 x 1 + 64

We consider the new divisor 90 and the new remainder 64,and apply the division lemma to get

90 = 64 x 1 + 26

We consider the new divisor 64 and the new remainder 26,and apply the division lemma to get

64 = 26 x 2 + 12

We consider the new divisor 26 and the new remainder 12,and apply the division lemma to get

26 = 12 x 2 + 2

We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get

12 = 2 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 886 and 642 is 2

Notice that 2 = HCF(12,2) = HCF(26,12) = HCF(64,26) = HCF(90,64) = HCF(154,90) = HCF(244,154) = HCF(642,244) = HCF(886,642) .

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

Step 1: Since 679 > 2, we apply the division lemma to 679 and 2, to get

679 = 2 x 339 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 679 is 1

Notice that 1 = HCF(2,1) = HCF(679,2) .

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Frequently Asked Questions on HCF of 886, 642, 679 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 886, 642, 679?

Answer: HCF of 886, 642, 679 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 886, 642, 679 using Euclid's Algorithm?

Answer: For arbitrary numbers 886, 642, 679 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.