Highest Common Factor of 546, 832, 273 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 546, 832, 273 i.e. 13 the largest integer that leaves a remainder zero for all numbers.

HCF of 546, 832, 273 is 13 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 546, 832, 273 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 546, 832, 273 is 13.

HCF(546, 832, 273) = 13

HCF of 546, 832, 273 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 546, 832, 273 is 13.

Highest Common Factor of 546,832,273 using Euclid's algorithm

Highest Common Factor of 546,832,273 is 13

Step 1: Since 832 > 546, we apply the division lemma to 832 and 546, to get

832 = 546 x 1 + 286

Step 2: Since the reminder 546 ≠ 0, we apply division lemma to 286 and 546, to get

546 = 286 x 1 + 260

Step 3: We consider the new divisor 286 and the new remainder 260, and apply the division lemma to get

286 = 260 x 1 + 26

We consider the new divisor 260 and the new remainder 26, and apply the division lemma to get

260 = 26 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 546 and 832 is 26

Notice that 26 = HCF(260,26) = HCF(286,260) = HCF(546,286) = HCF(832,546) .

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

Step 1: Since 273 > 26, we apply the division lemma to 273 and 26, to get

273 = 26 x 10 + 13

Step 2: Since the reminder 26 ≠ 0, we apply division lemma to 13 and 26, to get

26 = 13 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 26 and 273 is 13

Notice that 13 = HCF(26,13) = HCF(273,26) .

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Frequently Asked Questions on HCF of 546, 832, 273 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 546, 832, 273?

Answer: HCF of 546, 832, 273 is 13 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 546, 832, 273 using Euclid's Algorithm?

Answer: For arbitrary numbers 546, 832, 273 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.