Highest Common Factor of 4701, 3302, 88587 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 4701, 3302, 88587 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4701, 3302, 88587 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 4701, 3302, 88587 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 4701, 3302, 88587 is 1.

HCF(4701, 3302, 88587) = 1

HCF of 4701, 3302, 88587 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 4701, 3302, 88587 is 1.

Highest Common Factor of 4701,3302,88587 using Euclid's algorithm

Highest Common Factor of 4701,3302,88587 is 1

Step 1: Since 4701 > 3302, we apply the division lemma to 4701 and 3302, to get

4701 = 3302 x 1 + 1399

Step 2: Since the reminder 3302 ≠ 0, we apply division lemma to 1399 and 3302, to get

3302 = 1399 x 2 + 504

Step 3: We consider the new divisor 1399 and the new remainder 504, and apply the division lemma to get

1399 = 504 x 2 + 391

We consider the new divisor 504 and the new remainder 391,and apply the division lemma to get

504 = 391 x 1 + 113

We consider the new divisor 391 and the new remainder 113,and apply the division lemma to get

391 = 113 x 3 + 52

We consider the new divisor 113 and the new remainder 52,and apply the division lemma to get

113 = 52 x 2 + 9

We consider the new divisor 52 and the new remainder 9,and apply the division lemma to get

52 = 9 x 5 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 4701 and 3302 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(52,9) = HCF(113,52) = HCF(391,113) = HCF(504,391) = HCF(1399,504) = HCF(3302,1399) = HCF(4701,3302) .

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

Step 1: Since 88587 > 1, we apply the division lemma to 88587 and 1, to get

88587 = 1 x 88587 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 88587 is 1

Notice that 1 = HCF(88587,1) .

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Frequently Asked Questions on HCF of 4701, 3302, 88587 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 4701, 3302, 88587?

Answer: HCF of 4701, 3302, 88587 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4701, 3302, 88587 using Euclid's Algorithm?

Answer: For arbitrary numbers 4701, 3302, 88587 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.