Highest Common Factor of 436, 706, 163 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 436, 706, 163 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 436, 706, 163 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 436, 706, 163 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 436, 706, 163 is 1.

HCF(436, 706, 163) = 1

HCF of 436, 706, 163 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 436, 706, 163 is 1.

Highest Common Factor of 436,706,163 using Euclid's algorithm

Highest Common Factor of 436,706,163 is 1

Step 1: Since 706 > 436, we apply the division lemma to 706 and 436, to get

706 = 436 x 1 + 270

Step 2: Since the reminder 436 ≠ 0, we apply division lemma to 270 and 436, to get

436 = 270 x 1 + 166

Step 3: We consider the new divisor 270 and the new remainder 166, and apply the division lemma to get

270 = 166 x 1 + 104

We consider the new divisor 166 and the new remainder 104,and apply the division lemma to get

166 = 104 x 1 + 62

We consider the new divisor 104 and the new remainder 62,and apply the division lemma to get

104 = 62 x 1 + 42

We consider the new divisor 62 and the new remainder 42,and apply the division lemma to get

62 = 42 x 1 + 20

We consider the new divisor 42 and the new remainder 20,and apply the division lemma to get

42 = 20 x 2 + 2

We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get

20 = 2 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 436 and 706 is 2

Notice that 2 = HCF(20,2) = HCF(42,20) = HCF(62,42) = HCF(104,62) = HCF(166,104) = HCF(270,166) = HCF(436,270) = HCF(706,436) .

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

Step 1: Since 163 > 2, we apply the division lemma to 163 and 2, to get

163 = 2 x 81 + 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 163 is 1

Notice that 1 = HCF(2,1) = HCF(163,2) .

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Frequently Asked Questions on HCF of 436, 706, 163 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 436, 706, 163?

Answer: HCF of 436, 706, 163 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 436, 706, 163 using Euclid's Algorithm?

Answer: For arbitrary numbers 436, 706, 163 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.