Highest Common Factor of 917, 669, 489 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 917, 669, 489 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 917, 669, 489 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 917, 669, 489 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 917, 669, 489 is 1.

HCF(917, 669, 489) = 1

HCF of 917, 669, 489 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 917, 669, 489 is 1.

Highest Common Factor of 917,669,489 using Euclid's algorithm

Highest Common Factor of 917,669,489 is 1

Step 1: Since 917 > 669, we apply the division lemma to 917 and 669, to get

917 = 669 x 1 + 248

Step 2: Since the reminder 669 ≠ 0, we apply division lemma to 248 and 669, to get

669 = 248 x 2 + 173

Step 3: We consider the new divisor 248 and the new remainder 173, and apply the division lemma to get

248 = 173 x 1 + 75

We consider the new divisor 173 and the new remainder 75,and apply the division lemma to get

173 = 75 x 2 + 23

We consider the new divisor 75 and the new remainder 23,and apply the division lemma to get

75 = 23 x 3 + 6

We consider the new divisor 23 and the new remainder 6,and apply the division lemma to get

23 = 6 x 3 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 917 and 669 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(23,6) = HCF(75,23) = HCF(173,75) = HCF(248,173) = HCF(669,248) = HCF(917,669) .

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

Step 1: Since 489 > 1, we apply the division lemma to 489 and 1, to get

489 = 1 x 489 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 489 is 1

Notice that 1 = HCF(489,1) .

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Frequently Asked Questions on HCF of 917, 669, 489 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 917, 669, 489?

Answer: HCF of 917, 669, 489 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 917, 669, 489 using Euclid's Algorithm?

Answer: For arbitrary numbers 917, 669, 489 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.