Highest Common Factor of 327, 208, 687 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 327, 208, 687 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 327, 208, 687 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 327, 208, 687 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 327, 208, 687 is 1.

HCF(327, 208, 687) = 1

HCF of 327, 208, 687 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 327, 208, 687 is 1.

Highest Common Factor of 327,208,687 using Euclid's algorithm

Highest Common Factor of 327,208,687 is 1

Step 1: Since 327 > 208, we apply the division lemma to 327 and 208, to get

327 = 208 x 1 + 119

Step 2: Since the reminder 208 ≠ 0, we apply division lemma to 119 and 208, to get

208 = 119 x 1 + 89

Step 3: We consider the new divisor 119 and the new remainder 89, and apply the division lemma to get

119 = 89 x 1 + 30

We consider the new divisor 89 and the new remainder 30,and apply the division lemma to get

89 = 30 x 2 + 29

We consider the new divisor 30 and the new remainder 29,and apply the division lemma to get

30 = 29 x 1 + 1

We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get

29 = 1 x 29 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 327 and 208 is 1

Notice that 1 = HCF(29,1) = HCF(30,29) = HCF(89,30) = HCF(119,89) = HCF(208,119) = HCF(327,208) .

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

Step 1: Since 687 > 1, we apply the division lemma to 687 and 1, to get

687 = 1 x 687 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 687 is 1

Notice that 1 = HCF(687,1) .

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Frequently Asked Questions on HCF of 327, 208, 687 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 327, 208, 687?

Answer: HCF of 327, 208, 687 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 327, 208, 687 using Euclid's Algorithm?

Answer: For arbitrary numbers 327, 208, 687 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.