Highest Common Factor of 655, 992, 449 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 655, 992, 449 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 655, 992, 449 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 655, 992, 449 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 655, 992, 449 is 1.

HCF(655, 992, 449) = 1

HCF of 655, 992, 449 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 655, 992, 449 is 1.

Highest Common Factor of 655,992,449 using Euclid's algorithm

Highest Common Factor of 655,992,449 is 1

Step 1: Since 992 > 655, we apply the division lemma to 992 and 655, to get

992 = 655 x 1 + 337

Step 2: Since the reminder 655 ≠ 0, we apply division lemma to 337 and 655, to get

655 = 337 x 1 + 318

Step 3: We consider the new divisor 337 and the new remainder 318, and apply the division lemma to get

337 = 318 x 1 + 19

We consider the new divisor 318 and the new remainder 19,and apply the division lemma to get

318 = 19 x 16 + 14

We consider the new divisor 19 and the new remainder 14,and apply the division lemma to get

19 = 14 x 1 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 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 655 and 992 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(318,19) = HCF(337,318) = HCF(655,337) = HCF(992,655) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 449 > 1, we apply the division lemma to 449 and 1, to get

449 = 1 x 449 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 449 is 1

Notice that 1 = HCF(449,1) .

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Frequently Asked Questions on HCF of 655, 992, 449 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 655, 992, 449?

Answer: HCF of 655, 992, 449 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 655, 992, 449 using Euclid's Algorithm?

Answer: For arbitrary numbers 655, 992, 449 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.