Highest Common Factor of 548, 867, 405 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, 867, 405 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 548, 867, 405 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, 867, 405 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, 867, 405 is 1.

HCF(548, 867, 405) = 1

HCF of 548, 867, 405 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 548, 867, 405 is 1.

Highest Common Factor of 548,867,405 using Euclid's algorithm

Highest Common Factor of 548,867,405 is 1

Step 1: Since 867 > 548, we apply the division lemma to 867 and 548, to get

867 = 548 x 1 + 319

Step 2: Since the reminder 548 ≠ 0, we apply division lemma to 319 and 548, to get

548 = 319 x 1 + 229

Step 3: We consider the new divisor 319 and the new remainder 229, and apply the division lemma to get

319 = 229 x 1 + 90

We consider the new divisor 229 and the new remainder 90,and apply the division lemma to get

229 = 90 x 2 + 49

We consider the new divisor 90 and the new remainder 49,and apply the division lemma to get

90 = 49 x 1 + 41

We consider the new divisor 49 and the new remainder 41,and apply the division lemma to get

49 = 41 x 1 + 8

We consider the new divisor 41 and the new remainder 8,and apply the division lemma to get

41 = 8 x 5 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 548 and 867 is 1

Notice that 1 = HCF(8,1) = HCF(41,8) = HCF(49,41) = HCF(90,49) = HCF(229,90) = HCF(319,229) = HCF(548,319) = HCF(867,548) .

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

Step 1: Since 405 > 1, we apply the division lemma to 405 and 1, to get

405 = 1 x 405 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 405 is 1

Notice that 1 = HCF(405,1) .

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Frequently Asked Questions on HCF of 548, 867, 405 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, 867, 405?

Answer: HCF of 548, 867, 405 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 548, 867, 405 using Euclid's Algorithm?

Answer: For arbitrary numbers 548, 867, 405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.