Highest Common Factor of 921, 90827 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 921, 90827 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 921, 90827 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 921, 90827 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 921, 90827 is 1.

HCF(921, 90827) = 1

HCF of 921, 90827 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 921, 90827 is 1.

Highest Common Factor of 921,90827 using Euclid's algorithm

Highest Common Factor of 921,90827 is 1

Step 1: Since 90827 > 921, we apply the division lemma to 90827 and 921, to get

90827 = 921 x 98 + 569

Step 2: Since the reminder 921 ≠ 0, we apply division lemma to 569 and 921, to get

921 = 569 x 1 + 352

Step 3: We consider the new divisor 569 and the new remainder 352, and apply the division lemma to get

569 = 352 x 1 + 217

We consider the new divisor 352 and the new remainder 217,and apply the division lemma to get

352 = 217 x 1 + 135

We consider the new divisor 217 and the new remainder 135,and apply the division lemma to get

217 = 135 x 1 + 82

We consider the new divisor 135 and the new remainder 82,and apply the division lemma to get

135 = 82 x 1 + 53

We consider the new divisor 82 and the new remainder 53,and apply the division lemma to get

82 = 53 x 1 + 29

We consider the new divisor 53 and the new remainder 29,and apply the division lemma to get

53 = 29 x 1 + 24

We consider the new divisor 29 and the new remainder 24,and apply the division lemma to get

29 = 24 x 1 + 5

We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get

24 = 5 x 4 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 921 and 90827 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(29,24) = HCF(53,29) = HCF(82,53) = HCF(135,82) = HCF(217,135) = HCF(352,217) = HCF(569,352) = HCF(921,569) = HCF(90827,921) .

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Frequently Asked Questions on HCF of 921, 90827 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 921, 90827?

Answer: HCF of 921, 90827 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 921, 90827 using Euclid's Algorithm?

Answer: For arbitrary numbers 921, 90827 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.