Highest Common Factor of 818, 699, 219 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 818, 699, 219 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 818, 699, 219 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, 699, 219 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, 699, 219 is 1.

HCF(818, 699, 219) = 1

HCF of 818, 699, 219 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, 699, 219 is 1.

Highest Common Factor of 818,699,219 using Euclid's algorithm

Highest Common Factor of 818,699,219 is 1

Step 1: Since 818 > 699, we apply the division lemma to 818 and 699, to get

818 = 699 x 1 + 119

Step 2: Since the reminder 699 ≠ 0, we apply division lemma to 119 and 699, to get

699 = 119 x 5 + 104

Step 3: We consider the new divisor 119 and the new remainder 104, and apply the division lemma to get

119 = 104 x 1 + 15

We consider the new divisor 104 and the new remainder 15,and apply the division lemma to get

104 = 15 x 6 + 14

We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get

15 = 14 x 1 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 818 and 699 is 1

Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(104,15) = HCF(119,104) = HCF(699,119) = HCF(818,699) .

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

Step 1: Since 219 > 1, we apply the division lemma to 219 and 1, to get

219 = 1 x 219 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 219 is 1

Notice that 1 = HCF(219,1) .

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Frequently Asked Questions on HCF of 818, 699, 219 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, 699, 219?

Answer: HCF of 818, 699, 219 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 818, 699, 219 using Euclid's Algorithm?

Answer: For arbitrary numbers 818, 699, 219 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.