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Highest Common Factor of 818, 21, 106 using Euclid's algorithm

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 818, 21, 106 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 818, 21, 106 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 818, 21, 106 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 818, 21, 106 is 1.

HCF(818, 21, 106) = 1

HCF of 818, 21, 106 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 818, 21, 106 is 1.

Highest Common Factor of 818,21,106 using Euclid's algorithm

Step 1: Since 818 > 21, we apply the division lemma to 818 and 21, to get

818 = 21 x 38 + 20

Step 2: Since the reminder 21 ≠ 0, we apply division lemma to 20 and 21, to get

21 = 20 x 1 + 1

Step 3: We consider the new divisor 20 and the new remainder 1, and apply the division lemma to get

20 = 1 x 20 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 818 and 21 is 1

Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(818,21) .


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

Step 1: Since 106 > 1, we apply the division lemma to 106 and 1, to get

106 = 1 x 106 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 106 is 1

Notice that 1 = HCF(106,1) .

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Frequently Asked Questions on HCF of 818, 21, 106 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 818, 21, 106?

Answer: HCF of 818, 21, 106 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 818, 21, 106 using Euclid's Algorithm?

Answer: For arbitrary numbers 818, 21, 106 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.