Highest Common Factor of 283, 771, 221 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 283, 771, 221 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 283, 771, 221 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 283, 771, 221 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 283, 771, 221 is 1.

HCF(283, 771, 221) = 1

HCF of 283, 771, 221 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 283, 771, 221 is 1.

Highest Common Factor of 283,771,221 using Euclid's algorithm

Highest Common Factor of 283,771,221 is 1

Step 1: Since 771 > 283, we apply the division lemma to 771 and 283, to get

771 = 283 x 2 + 205

Step 2: Since the reminder 283 ≠ 0, we apply division lemma to 205 and 283, to get

283 = 205 x 1 + 78

Step 3: We consider the new divisor 205 and the new remainder 78, and apply the division lemma to get

205 = 78 x 2 + 49

We consider the new divisor 78 and the new remainder 49,and apply the division lemma to get

78 = 49 x 1 + 29

We consider the new divisor 49 and the new remainder 29,and apply the division lemma to get

49 = 29 x 1 + 20

We consider the new divisor 29 and the new remainder 20,and apply the division lemma to get

29 = 20 x 1 + 9

We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get

20 = 9 x 2 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 283 and 771 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(29,20) = HCF(49,29) = HCF(78,49) = HCF(205,78) = HCF(283,205) = HCF(771,283) .

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

Step 1: Since 221 > 1, we apply the division lemma to 221 and 1, to get

221 = 1 x 221 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 221 is 1

Notice that 1 = HCF(221,1) .

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Frequently Asked Questions on HCF of 283, 771, 221 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 283, 771, 221?

Answer: HCF of 283, 771, 221 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 283, 771, 221 using Euclid's Algorithm?

Answer: For arbitrary numbers 283, 771, 221 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.