Highest Common Factor of 561, 261, 611 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 561, 261, 611 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 561, 261, 611 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 561, 261, 611 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 561, 261, 611 is 1.

HCF(561, 261, 611) = 1

HCF of 561, 261, 611 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 561, 261, 611 is 1.

Highest Common Factor of 561,261,611 using Euclid's algorithm

Highest Common Factor of 561,261,611 is 1

Step 1: Since 561 > 261, we apply the division lemma to 561 and 261, to get

561 = 261 x 2 + 39

Step 2: Since the reminder 261 ≠ 0, we apply division lemma to 39 and 261, to get

261 = 39 x 6 + 27

Step 3: We consider the new divisor 39 and the new remainder 27, and apply the division lemma to get

39 = 27 x 1 + 12

We consider the new divisor 27 and the new remainder 12,and apply the division lemma to get

27 = 12 x 2 + 3

We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get

12 = 3 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 561 and 261 is 3

Notice that 3 = HCF(12,3) = HCF(27,12) = HCF(39,27) = HCF(261,39) = HCF(561,261) .

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

Step 1: Since 611 > 3, we apply the division lemma to 611 and 3, to get

611 = 3 x 203 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 611 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(611,3) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 561, 261, 611 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 561, 261, 611?

Answer: HCF of 561, 261, 611 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 561, 261, 611 using Euclid's Algorithm?

Answer: For arbitrary numbers 561, 261, 611 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.