Highest Common Factor of 8561, 3974, 84757 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 8561, 3974, 84757 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8561, 3974, 84757 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 8561, 3974, 84757 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 8561, 3974, 84757 is 1.

HCF(8561, 3974, 84757) = 1

HCF of 8561, 3974, 84757 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 8561, 3974, 84757 is 1.

Highest Common Factor of 8561,3974,84757 using Euclid's algorithm

Highest Common Factor of 8561,3974,84757 is 1

Step 1: Since 8561 > 3974, we apply the division lemma to 8561 and 3974, to get

8561 = 3974 x 2 + 613

Step 2: Since the reminder 3974 ≠ 0, we apply division lemma to 613 and 3974, to get

3974 = 613 x 6 + 296

Step 3: We consider the new divisor 613 and the new remainder 296, and apply the division lemma to get

613 = 296 x 2 + 21

We consider the new divisor 296 and the new remainder 21,and apply the division lemma to get

296 = 21 x 14 + 2

We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get

21 = 2 x 10 + 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 8561 and 3974 is 1

Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(296,21) = HCF(613,296) = HCF(3974,613) = HCF(8561,3974) .

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

Step 1: Since 84757 > 1, we apply the division lemma to 84757 and 1, to get

84757 = 1 x 84757 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 84757 is 1

Notice that 1 = HCF(84757,1) .

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Frequently Asked Questions on HCF of 8561, 3974, 84757 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 8561, 3974, 84757?

Answer: HCF of 8561, 3974, 84757 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8561, 3974, 84757 using Euclid's Algorithm?

Answer: For arbitrary numbers 8561, 3974, 84757 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.