Highest Common Factor of 883, 649 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 883, 649 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 883, 649 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 883, 649 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 883, 649 is 1.

HCF(883, 649) = 1

HCF of 883, 649 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 883, 649 is 1.

Highest Common Factor of 883,649 using Euclid's algorithm

Highest Common Factor of 883,649 is 1

Step 1: Since 883 > 649, we apply the division lemma to 883 and 649, to get

883 = 649 x 1 + 234

Step 2: Since the reminder 649 ≠ 0, we apply division lemma to 234 and 649, to get

649 = 234 x 2 + 181

Step 3: We consider the new divisor 234 and the new remainder 181, and apply the division lemma to get

234 = 181 x 1 + 53

We consider the new divisor 181 and the new remainder 53,and apply the division lemma to get

181 = 53 x 3 + 22

We consider the new divisor 53 and the new remainder 22,and apply the division lemma to get

53 = 22 x 2 + 9

We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get

22 = 9 x 2 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 883 and 649 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(53,22) = HCF(181,53) = HCF(234,181) = HCF(649,234) = HCF(883,649) .

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Frequently Asked Questions on HCF of 883, 649 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 883, 649?

Answer: HCF of 883, 649 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 883, 649 using Euclid's Algorithm?

Answer: For arbitrary numbers 883, 649 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.