Highest Common Factor of 2854, 9595 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 2854, 9595 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2854, 9595 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 2854, 9595 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 2854, 9595 is 1.

HCF(2854, 9595) = 1

HCF of 2854, 9595 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 2854, 9595 is 1.

Highest Common Factor of 2854,9595 using Euclid's algorithm

Highest Common Factor of 2854,9595 is 1

Step 1: Since 9595 > 2854, we apply the division lemma to 9595 and 2854, to get

9595 = 2854 x 3 + 1033

Step 2: Since the reminder 2854 ≠ 0, we apply division lemma to 1033 and 2854, to get

2854 = 1033 x 2 + 788

Step 3: We consider the new divisor 1033 and the new remainder 788, and apply the division lemma to get

1033 = 788 x 1 + 245

We consider the new divisor 788 and the new remainder 245,and apply the division lemma to get

788 = 245 x 3 + 53

We consider the new divisor 245 and the new remainder 53,and apply the division lemma to get

245 = 53 x 4 + 33

We consider the new divisor 53 and the new remainder 33,and apply the division lemma to get

53 = 33 x 1 + 20

We consider the new divisor 33 and the new remainder 20,and apply the division lemma to get

33 = 20 x 1 + 13

We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get

20 = 13 x 1 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2854 and 9595 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(33,20) = HCF(53,33) = HCF(245,53) = HCF(788,245) = HCF(1033,788) = HCF(2854,1033) = HCF(9595,2854) .

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Frequently Asked Questions on HCF of 2854, 9595 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 2854, 9595?

Answer: HCF of 2854, 9595 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2854, 9595 using Euclid's Algorithm?

Answer: For arbitrary numbers 2854, 9595 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.