Highest Common Factor of 4753, 6685, 82681 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 4753, 6685, 82681 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4753, 6685, 82681 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 4753, 6685, 82681 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 4753, 6685, 82681 is 1.

HCF(4753, 6685, 82681) = 1

HCF of 4753, 6685, 82681 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 4753, 6685, 82681 is 1.

Highest Common Factor of 4753,6685,82681 using Euclid's algorithm

Highest Common Factor of 4753,6685,82681 is 1

Step 1: Since 6685 > 4753, we apply the division lemma to 6685 and 4753, to get

6685 = 4753 x 1 + 1932

Step 2: Since the reminder 4753 ≠ 0, we apply division lemma to 1932 and 4753, to get

4753 = 1932 x 2 + 889

Step 3: We consider the new divisor 1932 and the new remainder 889, and apply the division lemma to get

1932 = 889 x 2 + 154

We consider the new divisor 889 and the new remainder 154,and apply the division lemma to get

889 = 154 x 5 + 119

We consider the new divisor 154 and the new remainder 119,and apply the division lemma to get

154 = 119 x 1 + 35

We consider the new divisor 119 and the new remainder 35,and apply the division lemma to get

119 = 35 x 3 + 14

We consider the new divisor 35 and the new remainder 14,and apply the division lemma to get

35 = 14 x 2 + 7

We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get

14 = 7 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 4753 and 6685 is 7

Notice that 7 = HCF(14,7) = HCF(35,14) = HCF(119,35) = HCF(154,119) = HCF(889,154) = HCF(1932,889) = HCF(4753,1932) = HCF(6685,4753) .

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

Step 1: Since 82681 > 7, we apply the division lemma to 82681 and 7, to get

82681 = 7 x 11811 + 4

Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 4 and 7, to get

7 = 4 x 1 + 3

Step 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 7 and 82681 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(82681,7) .

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Frequently Asked Questions on HCF of 4753, 6685, 82681 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 4753, 6685, 82681?

Answer: HCF of 4753, 6685, 82681 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4753, 6685, 82681 using Euclid's Algorithm?

Answer: For arbitrary numbers 4753, 6685, 82681 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.