Highest Common Factor of 867, 538, 26 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 867, 538, 26 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 867, 538, 26 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 867, 538, 26 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 867, 538, 26 is 1.

HCF(867, 538, 26) = 1

HCF of 867, 538, 26 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 867, 538, 26 is 1.

Highest Common Factor of 867,538,26 using Euclid's algorithm

Highest Common Factor of 867,538,26 is 1

Step 1: Since 867 > 538, we apply the division lemma to 867 and 538, to get

867 = 538 x 1 + 329

Step 2: Since the reminder 538 ≠ 0, we apply division lemma to 329 and 538, to get

538 = 329 x 1 + 209

Step 3: We consider the new divisor 329 and the new remainder 209, and apply the division lemma to get

329 = 209 x 1 + 120

We consider the new divisor 209 and the new remainder 120,and apply the division lemma to get

209 = 120 x 1 + 89

We consider the new divisor 120 and the new remainder 89,and apply the division lemma to get

120 = 89 x 1 + 31

We consider the new divisor 89 and the new remainder 31,and apply the division lemma to get

89 = 31 x 2 + 27

We consider the new divisor 31 and the new remainder 27,and apply the division lemma to get

31 = 27 x 1 + 4

We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get

27 = 4 x 6 + 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 867 and 538 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(31,27) = HCF(89,31) = HCF(120,89) = HCF(209,120) = HCF(329,209) = HCF(538,329) = HCF(867,538) .

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

Step 1: Since 26 > 1, we apply the division lemma to 26 and 1, to get

26 = 1 x 26 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26 is 1

Notice that 1 = HCF(26,1) .

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Frequently Asked Questions on HCF of 867, 538, 26 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 867, 538, 26?

Answer: HCF of 867, 538, 26 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 867, 538, 26 using Euclid's Algorithm?

Answer: For arbitrary numbers 867, 538, 26 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.