Highest Common Factor of 541, 876, 13 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, 876, 13 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 541, 876, 13 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, 876, 13 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, 876, 13 is 1.

HCF(541, 876, 13) = 1

HCF of 541, 876, 13 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, 876, 13 is 1.

Highest Common Factor of 541,876,13 using Euclid's algorithm

Highest Common Factor of 541,876,13 is 1

Step 1: Since 876 > 541, we apply the division lemma to 876 and 541, to get

876 = 541 x 1 + 335

Step 2: Since the reminder 541 ≠ 0, we apply division lemma to 335 and 541, to get

541 = 335 x 1 + 206

Step 3: We consider the new divisor 335 and the new remainder 206, and apply the division lemma to get

335 = 206 x 1 + 129

We consider the new divisor 206 and the new remainder 129,and apply the division lemma to get

206 = 129 x 1 + 77

We consider the new divisor 129 and the new remainder 77,and apply the division lemma to get

129 = 77 x 1 + 52

We consider the new divisor 77 and the new remainder 52,and apply the division lemma to get

77 = 52 x 1 + 25

We consider the new divisor 52 and the new remainder 25,and apply the division lemma to get

52 = 25 x 2 + 2

We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get

25 = 2 x 12 + 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 876 is 1

Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(52,25) = HCF(77,52) = HCF(129,77) = HCF(206,129) = HCF(335,206) = HCF(541,335) = HCF(876,541) .

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

Step 1: Since 13 > 1, we apply the division lemma to 13 and 1, to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 13 is 1

Notice that 1 = HCF(13,1) .

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Frequently Asked Questions on HCF of 541, 876, 13 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, 876, 13?

Answer: HCF of 541, 876, 13 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 541, 876, 13 using Euclid's Algorithm?

Answer: For arbitrary numbers 541, 876, 13 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.