Highest Common Factor of 8849, 2073 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 8849, 2073 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8849, 2073 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 8849, 2073 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 8849, 2073 is 1.

HCF(8849, 2073) = 1

HCF of 8849, 2073 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 8849, 2073 is 1.

Highest Common Factor of 8849,2073 using Euclid's algorithm

Highest Common Factor of 8849,2073 is 1

Step 1: Since 8849 > 2073, we apply the division lemma to 8849 and 2073, to get

8849 = 2073 x 4 + 557

Step 2: Since the reminder 2073 ≠ 0, we apply division lemma to 557 and 2073, to get

2073 = 557 x 3 + 402

Step 3: We consider the new divisor 557 and the new remainder 402, and apply the division lemma to get

557 = 402 x 1 + 155

We consider the new divisor 402 and the new remainder 155,and apply the division lemma to get

402 = 155 x 2 + 92

We consider the new divisor 155 and the new remainder 92,and apply the division lemma to get

155 = 92 x 1 + 63

We consider the new divisor 92 and the new remainder 63,and apply the division lemma to get

92 = 63 x 1 + 29

We consider the new divisor 63 and the new remainder 29,and apply the division lemma to get

63 = 29 x 2 + 5

We consider the new divisor 29 and the new remainder 5,and apply the division lemma to get

29 = 5 x 5 + 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 8849 and 2073 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(29,5) = HCF(63,29) = HCF(92,63) = HCF(155,92) = HCF(402,155) = HCF(557,402) = HCF(2073,557) = HCF(8849,2073) .

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Frequently Asked Questions on HCF of 8849, 2073 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 8849, 2073?

Answer: HCF of 8849, 2073 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8849, 2073 using Euclid's Algorithm?

Answer: For arbitrary numbers 8849, 2073 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.