Highest Common Factor of 884, 546, 873 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 884, 546, 873 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 884, 546, 873 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 884, 546, 873 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 884, 546, 873 is 1.

HCF(884, 546, 873) = 1

HCF of 884, 546, 873 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 884, 546, 873 is 1.

Highest Common Factor of 884,546,873 using Euclid's algorithm

Highest Common Factor of 884,546,873 is 1

Step 1: Since 884 > 546, we apply the division lemma to 884 and 546, to get

884 = 546 x 1 + 338

Step 2: Since the reminder 546 ≠ 0, we apply division lemma to 338 and 546, to get

546 = 338 x 1 + 208

Step 3: We consider the new divisor 338 and the new remainder 208, and apply the division lemma to get

338 = 208 x 1 + 130

We consider the new divisor 208 and the new remainder 130,and apply the division lemma to get

208 = 130 x 1 + 78

We consider the new divisor 130 and the new remainder 78,and apply the division lemma to get

130 = 78 x 1 + 52

We consider the new divisor 78 and the new remainder 52,and apply the division lemma to get

78 = 52 x 1 + 26

We consider the new divisor 52 and the new remainder 26,and apply the division lemma to get

52 = 26 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 884 and 546 is 26

Notice that 26 = HCF(52,26) = HCF(78,52) = HCF(130,78) = HCF(208,130) = HCF(338,208) = HCF(546,338) = HCF(884,546) .

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

Step 1: Since 873 > 26, we apply the division lemma to 873 and 26, to get

873 = 26 x 33 + 15

Step 2: Since the reminder 26 ≠ 0, we apply division lemma to 15 and 26, to get

26 = 15 x 1 + 11

Step 3: We consider the new divisor 15 and the new remainder 11, and apply the division lemma to get

15 = 11 x 1 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 26 and 873 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(26,15) = HCF(873,26) .

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Frequently Asked Questions on HCF of 884, 546, 873 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 884, 546, 873?

Answer: HCF of 884, 546, 873 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 884, 546, 873 using Euclid's Algorithm?

Answer: For arbitrary numbers 884, 546, 873 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.