Highest Common Factor of 895, 563, 481 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 895, 563, 481 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 895, 563, 481 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 895, 563, 481 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 895, 563, 481 is 1.

HCF(895, 563, 481) = 1

HCF of 895, 563, 481 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 895, 563, 481 is 1.

Highest Common Factor of 895,563,481 using Euclid's algorithm

Highest Common Factor of 895,563,481 is 1

Step 1: Since 895 > 563, we apply the division lemma to 895 and 563, to get

895 = 563 x 1 + 332

Step 2: Since the reminder 563 ≠ 0, we apply division lemma to 332 and 563, to get

563 = 332 x 1 + 231

Step 3: We consider the new divisor 332 and the new remainder 231, and apply the division lemma to get

332 = 231 x 1 + 101

We consider the new divisor 231 and the new remainder 101,and apply the division lemma to get

231 = 101 x 2 + 29

We consider the new divisor 101 and the new remainder 29,and apply the division lemma to get

101 = 29 x 3 + 14

We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get

29 = 14 x 2 + 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 895 and 563 is 1

Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(101,29) = HCF(231,101) = HCF(332,231) = HCF(563,332) = HCF(895,563) .

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

Step 1: Since 481 > 1, we apply the division lemma to 481 and 1, to get

481 = 1 x 481 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 481 is 1

Notice that 1 = HCF(481,1) .

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Frequently Asked Questions on HCF of 895, 563, 481 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 895, 563, 481?

Answer: HCF of 895, 563, 481 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 895, 563, 481 using Euclid's Algorithm?

Answer: For arbitrary numbers 895, 563, 481 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.