Highest Common Factor of 2833, 2236 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 2833, 2236 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2833, 2236 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 2833, 2236 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 2833, 2236 is 1.

HCF(2833, 2236) = 1

HCF of 2833, 2236 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 2833, 2236 is 1.

Highest Common Factor of 2833,2236 using Euclid's algorithm

Highest Common Factor of 2833,2236 is 1

Step 1: Since 2833 > 2236, we apply the division lemma to 2833 and 2236, to get

2833 = 2236 x 1 + 597

Step 2: Since the reminder 2236 ≠ 0, we apply division lemma to 597 and 2236, to get

2236 = 597 x 3 + 445

Step 3: We consider the new divisor 597 and the new remainder 445, and apply the division lemma to get

597 = 445 x 1 + 152

We consider the new divisor 445 and the new remainder 152,and apply the division lemma to get

445 = 152 x 2 + 141

We consider the new divisor 152 and the new remainder 141,and apply the division lemma to get

152 = 141 x 1 + 11

We consider the new divisor 141 and the new remainder 11,and apply the division lemma to get

141 = 11 x 12 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 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 2833 and 2236 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(141,11) = HCF(152,141) = HCF(445,152) = HCF(597,445) = HCF(2236,597) = HCF(2833,2236) .

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Frequently Asked Questions on HCF of 2833, 2236 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 2833, 2236?

Answer: HCF of 2833, 2236 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2833, 2236 using Euclid's Algorithm?

Answer: For arbitrary numbers 2833, 2236 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.