Highest Common Factor of 563, 326, 640 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 563, 326, 640 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 563, 326, 640 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 563, 326, 640 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 563, 326, 640 is 1.

HCF(563, 326, 640) = 1

HCF of 563, 326, 640 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 563, 326, 640 is 1.

Highest Common Factor of 563,326,640 using Euclid's algorithm

Highest Common Factor of 563,326,640 is 1

Step 1: Since 563 > 326, we apply the division lemma to 563 and 326, to get

563 = 326 x 1 + 237

Step 2: Since the reminder 326 ≠ 0, we apply division lemma to 237 and 326, to get

326 = 237 x 1 + 89

Step 3: We consider the new divisor 237 and the new remainder 89, and apply the division lemma to get

237 = 89 x 2 + 59

We consider the new divisor 89 and the new remainder 59,and apply the division lemma to get

89 = 59 x 1 + 30

We consider the new divisor 59 and the new remainder 30,and apply the division lemma to get

59 = 30 x 1 + 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 563 and 326 is 1

Notice that 1 = HCF(29,1) = HCF(30,29) = HCF(59,30) = HCF(89,59) = HCF(237,89) = HCF(326,237) = HCF(563,326) .

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

Step 1: Since 640 > 1, we apply the division lemma to 640 and 1, to get

640 = 1 x 640 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 640 is 1

Notice that 1 = HCF(640,1) .

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Frequently Asked Questions on HCF of 563, 326, 640 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 563, 326, 640?

Answer: HCF of 563, 326, 640 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 563, 326, 640 using Euclid's Algorithm?

Answer: For arbitrary numbers 563, 326, 640 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.