Highest Common Factor of 561, 919, 463 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, 919, 463 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 561, 919, 463 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, 919, 463 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, 919, 463 is 1.

HCF(561, 919, 463) = 1

HCF of 561, 919, 463 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, 919, 463 is 1.

Highest Common Factor of 561,919,463 using Euclid's algorithm

Highest Common Factor of 561,919,463 is 1

Step 1: Since 919 > 561, we apply the division lemma to 919 and 561, to get

919 = 561 x 1 + 358

Step 2: Since the reminder 561 ≠ 0, we apply division lemma to 358 and 561, to get

561 = 358 x 1 + 203

Step 3: We consider the new divisor 358 and the new remainder 203, and apply the division lemma to get

358 = 203 x 1 + 155

We consider the new divisor 203 and the new remainder 155,and apply the division lemma to get

203 = 155 x 1 + 48

We consider the new divisor 155 and the new remainder 48,and apply the division lemma to get

155 = 48 x 3 + 11

We consider the new divisor 48 and the new remainder 11,and apply the division lemma to get

48 = 11 x 4 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 561 and 919 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(48,11) = HCF(155,48) = HCF(203,155) = HCF(358,203) = HCF(561,358) = HCF(919,561) .

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

Step 1: Since 463 > 1, we apply the division lemma to 463 and 1, to get

463 = 1 x 463 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 463 is 1

Notice that 1 = HCF(463,1) .

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Frequently Asked Questions on HCF of 561, 919, 463 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, 919, 463?

Answer: HCF of 561, 919, 463 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 561, 919, 463 using Euclid's Algorithm?

Answer: For arbitrary numbers 561, 919, 463 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.