Highest Common Factor of 548, 841 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 548, 841 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 548, 841 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 548, 841 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 548, 841 is 1.

HCF(548, 841) = 1

HCF of 548, 841 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 548, 841 is 1.

Highest Common Factor of 548,841 using Euclid's algorithm

Highest Common Factor of 548,841 is 1

Step 1: Since 841 > 548, we apply the division lemma to 841 and 548, to get

841 = 548 x 1 + 293

Step 2: Since the reminder 548 ≠ 0, we apply division lemma to 293 and 548, to get

548 = 293 x 1 + 255

Step 3: We consider the new divisor 293 and the new remainder 255, and apply the division lemma to get

293 = 255 x 1 + 38

We consider the new divisor 255 and the new remainder 38,and apply the division lemma to get

255 = 38 x 6 + 27

We consider the new divisor 38 and the new remainder 27,and apply the division lemma to get

38 = 27 x 1 + 11

We consider the new divisor 27 and the new remainder 11,and apply the division lemma to get

27 = 11 x 2 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 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 548 and 841 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(27,11) = HCF(38,27) = HCF(255,38) = HCF(293,255) = HCF(548,293) = HCF(841,548) .

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Frequently Asked Questions on HCF of 548, 841 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 548, 841?

Answer: HCF of 548, 841 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 548, 841 using Euclid's Algorithm?

Answer: For arbitrary numbers 548, 841 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.