Highest Common Factor of 818, 645, 340 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, 645, 340 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 818, 645, 340 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, 645, 340 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, 645, 340 is 1.

HCF(818, 645, 340) = 1

HCF of 818, 645, 340 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, 645, 340 is 1.

Highest Common Factor of 818,645,340 using Euclid's algorithm

Highest Common Factor of 818,645,340 is 1

Step 1: Since 818 > 645, we apply the division lemma to 818 and 645, to get

818 = 645 x 1 + 173

Step 2: Since the reminder 645 ≠ 0, we apply division lemma to 173 and 645, to get

645 = 173 x 3 + 126

Step 3: We consider the new divisor 173 and the new remainder 126, and apply the division lemma to get

173 = 126 x 1 + 47

We consider the new divisor 126 and the new remainder 47,and apply the division lemma to get

126 = 47 x 2 + 32

We consider the new divisor 47 and the new remainder 32,and apply the division lemma to get

47 = 32 x 1 + 15

We consider the new divisor 32 and the new remainder 15,and apply the division lemma to get

32 = 15 x 2 + 2

We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get

15 = 2 x 7 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 818 and 645 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(32,15) = HCF(47,32) = HCF(126,47) = HCF(173,126) = HCF(645,173) = HCF(818,645) .

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

Step 1: Since 340 > 1, we apply the division lemma to 340 and 1, to get

340 = 1 x 340 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 340 is 1

Notice that 1 = HCF(340,1) .

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Frequently Asked Questions on HCF of 818, 645, 340 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, 645, 340?

Answer: HCF of 818, 645, 340 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 818, 645, 340 using Euclid's Algorithm?

Answer: For arbitrary numbers 818, 645, 340 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.