Highest Common Factor of 649, 2835 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 649, 2835 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 649, 2835 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 649, 2835 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 649, 2835 is 1.

HCF(649, 2835) = 1

HCF of 649, 2835 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 649, 2835 is 1.

Highest Common Factor of 649,2835 using Euclid's algorithm

Highest Common Factor of 649,2835 is 1

Step 1: Since 2835 > 649, we apply the division lemma to 2835 and 649, to get

2835 = 649 x 4 + 239

Step 2: Since the reminder 649 ≠ 0, we apply division lemma to 239 and 649, to get

649 = 239 x 2 + 171

Step 3: We consider the new divisor 239 and the new remainder 171, and apply the division lemma to get

239 = 171 x 1 + 68

We consider the new divisor 171 and the new remainder 68,and apply the division lemma to get

171 = 68 x 2 + 35

We consider the new divisor 68 and the new remainder 35,and apply the division lemma to get

68 = 35 x 1 + 33

We consider the new divisor 35 and the new remainder 33,and apply the division lemma to get

35 = 33 x 1 + 2

We consider the new divisor 33 and the new remainder 2,and apply the division lemma to get

33 = 2 x 16 + 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 649 and 2835 is 1

Notice that 1 = HCF(2,1) = HCF(33,2) = HCF(35,33) = HCF(68,35) = HCF(171,68) = HCF(239,171) = HCF(649,239) = HCF(2835,649) .

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Frequently Asked Questions on HCF of 649, 2835 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 649, 2835?

Answer: HCF of 649, 2835 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 649, 2835 using Euclid's Algorithm?

Answer: For arbitrary numbers 649, 2835 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.