Highest Common Factor of 608, 949, 563 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 608, 949, 563 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 608, 949, 563 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 608, 949, 563 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 608, 949, 563 is 1.

HCF(608, 949, 563) = 1

HCF of 608, 949, 563 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 608, 949, 563 is 1.

Highest Common Factor of 608,949,563 using Euclid's algorithm

Highest Common Factor of 608,949,563 is 1

Step 1: Since 949 > 608, we apply the division lemma to 949 and 608, to get

949 = 608 x 1 + 341

Step 2: Since the reminder 608 ≠ 0, we apply division lemma to 341 and 608, to get

608 = 341 x 1 + 267

Step 3: We consider the new divisor 341 and the new remainder 267, and apply the division lemma to get

341 = 267 x 1 + 74

We consider the new divisor 267 and the new remainder 74,and apply the division lemma to get

267 = 74 x 3 + 45

We consider the new divisor 74 and the new remainder 45,and apply the division lemma to get

74 = 45 x 1 + 29

We consider the new divisor 45 and the new remainder 29,and apply the division lemma to get

45 = 29 x 1 + 16

We consider the new divisor 29 and the new remainder 16,and apply the division lemma to get

29 = 16 x 1 + 13

We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get

16 = 13 x 1 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 1

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

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 608 and 949 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(29,16) = HCF(45,29) = HCF(74,45) = HCF(267,74) = HCF(341,267) = HCF(608,341) = HCF(949,608) .

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

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

563 = 1 x 563 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 563 is 1

Notice that 1 = HCF(563,1) .

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Frequently Asked Questions on HCF of 608, 949, 563 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 608, 949, 563?

Answer: HCF of 608, 949, 563 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 608, 949, 563 using Euclid's Algorithm?

Answer: For arbitrary numbers 608, 949, 563 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.