Highest Common Factor of 5005, 8927, 83151 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 5005, 8927, 83151 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5005, 8927, 83151 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 5005, 8927, 83151 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 5005, 8927, 83151 is 1.

HCF(5005, 8927, 83151) = 1

HCF of 5005, 8927, 83151 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 5005, 8927, 83151 is 1.

Highest Common Factor of 5005,8927,83151 using Euclid's algorithm

Highest Common Factor of 5005,8927,83151 is 1

Step 1: Since 8927 > 5005, we apply the division lemma to 8927 and 5005, to get

8927 = 5005 x 1 + 3922

Step 2: Since the reminder 5005 ≠ 0, we apply division lemma to 3922 and 5005, to get

5005 = 3922 x 1 + 1083

Step 3: We consider the new divisor 3922 and the new remainder 1083, and apply the division lemma to get

3922 = 1083 x 3 + 673

We consider the new divisor 1083 and the new remainder 673,and apply the division lemma to get

1083 = 673 x 1 + 410

We consider the new divisor 673 and the new remainder 410,and apply the division lemma to get

673 = 410 x 1 + 263

We consider the new divisor 410 and the new remainder 263,and apply the division lemma to get

410 = 263 x 1 + 147

We consider the new divisor 263 and the new remainder 147,and apply the division lemma to get

263 = 147 x 1 + 116

We consider the new divisor 147 and the new remainder 116,and apply the division lemma to get

147 = 116 x 1 + 31

We consider the new divisor 116 and the new remainder 31,and apply the division lemma to get

116 = 31 x 3 + 23

We consider the new divisor 31 and the new remainder 23,and apply the division lemma to get

31 = 23 x 1 + 8

We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get

23 = 8 x 2 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5005 and 8927 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(31,23) = HCF(116,31) = HCF(147,116) = HCF(263,147) = HCF(410,263) = HCF(673,410) = HCF(1083,673) = HCF(3922,1083) = HCF(5005,3922) = HCF(8927,5005) .

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

Step 1: Since 83151 > 1, we apply the division lemma to 83151 and 1, to get

83151 = 1 x 83151 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 83151 is 1

Notice that 1 = HCF(83151,1) .

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Frequently Asked Questions on HCF of 5005, 8927, 83151 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 5005, 8927, 83151?

Answer: HCF of 5005, 8927, 83151 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5005, 8927, 83151 using Euclid's Algorithm?

Answer: For arbitrary numbers 5005, 8927, 83151 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.