Highest Common Factor of 541, 413, 340, 389 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 541, 413, 340, 389 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 541, 413, 340, 389 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 541, 413, 340, 389 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 541, 413, 340, 389 is 1.

HCF(541, 413, 340, 389) = 1

HCF of 541, 413, 340, 389 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 541, 413, 340, 389 is 1.

Highest Common Factor of 541,413,340,389 using Euclid's algorithm

Highest Common Factor of 541,413,340,389 is 1

Step 1: Since 541 > 413, we apply the division lemma to 541 and 413, to get

541 = 413 x 1 + 128

Step 2: Since the reminder 413 ≠ 0, we apply division lemma to 128 and 413, to get

413 = 128 x 3 + 29

Step 3: We consider the new divisor 128 and the new remainder 29, and apply the division lemma to get

128 = 29 x 4 + 12

We consider the new divisor 29 and the new remainder 12,and apply the division lemma to get

29 = 12 x 2 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

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 541 and 413 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(29,12) = HCF(128,29) = HCF(413,128) = HCF(541,413) .

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

Step 1: Since 340 > 1, we apply the division lemma to 340 and 1, to get

340 = 1 x 340 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 340 is 1

Notice that 1 = HCF(340,1) .

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

Step 1: Since 389 > 1, we apply the division lemma to 389 and 1, to get

389 = 1 x 389 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 389 is 1

Notice that 1 = HCF(389,1) .

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Frequently Asked Questions on HCF of 541, 413, 340, 389 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 541, 413, 340, 389?

Answer: HCF of 541, 413, 340, 389 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 541, 413, 340, 389 using Euclid's Algorithm?

Answer: For arbitrary numbers 541, 413, 340, 389 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.