Highest Common Factor of 489, 801, 857, 441 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 489, 801, 857, 441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 489, 801, 857, 441 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 489, 801, 857, 441 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 489, 801, 857, 441 is 1.

HCF(489, 801, 857, 441) = 1

HCF of 489, 801, 857, 441 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 489, 801, 857, 441 is 1.

Highest Common Factor of 489,801,857,441 using Euclid's algorithm

Highest Common Factor of 489,801,857,441 is 1

Step 1: Since 801 > 489, we apply the division lemma to 801 and 489, to get

801 = 489 x 1 + 312

Step 2: Since the reminder 489 ≠ 0, we apply division lemma to 312 and 489, to get

489 = 312 x 1 + 177

Step 3: We consider the new divisor 312 and the new remainder 177, and apply the division lemma to get

312 = 177 x 1 + 135

We consider the new divisor 177 and the new remainder 135,and apply the division lemma to get

177 = 135 x 1 + 42

We consider the new divisor 135 and the new remainder 42,and apply the division lemma to get

135 = 42 x 3 + 9

We consider the new divisor 42 and the new remainder 9,and apply the division lemma to get

42 = 9 x 4 + 6

We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get

9 = 6 x 1 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 489 and 801 is 3

Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(42,9) = HCF(135,42) = HCF(177,135) = HCF(312,177) = HCF(489,312) = HCF(801,489) .

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

Step 1: Since 857 > 3, we apply the division lemma to 857 and 3, to get

857 = 3 x 285 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 857 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(857,3) .

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

Step 1: Since 441 > 1, we apply the division lemma to 441 and 1, to get

441 = 1 x 441 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 441 is 1

Notice that 1 = HCF(441,1) .

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Frequently Asked Questions on HCF of 489, 801, 857, 441 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 489, 801, 857, 441?

Answer: HCF of 489, 801, 857, 441 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 489, 801, 857, 441 using Euclid's Algorithm?

Answer: For arbitrary numbers 489, 801, 857, 441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.