Highest Common Factor of 845, 6616 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 845, 6616 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 845, 6616 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 845, 6616 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 845, 6616 is 1.

HCF(845, 6616) = 1

HCF of 845, 6616 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 845, 6616 is 1.

Highest Common Factor of 845,6616 using Euclid's algorithm

Highest Common Factor of 845,6616 is 1

Step 1: Since 6616 > 845, we apply the division lemma to 6616 and 845, to get

6616 = 845 x 7 + 701

Step 2: Since the reminder 845 ≠ 0, we apply division lemma to 701 and 845, to get

845 = 701 x 1 + 144

Step 3: We consider the new divisor 701 and the new remainder 144, and apply the division lemma to get

701 = 144 x 4 + 125

We consider the new divisor 144 and the new remainder 125,and apply the division lemma to get

144 = 125 x 1 + 19

We consider the new divisor 125 and the new remainder 19,and apply the division lemma to get

125 = 19 x 6 + 11

We consider the new divisor 19 and the new remainder 11,and apply the division lemma to get

19 = 11 x 1 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 845 and 6616 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(19,11) = HCF(125,19) = HCF(144,125) = HCF(701,144) = HCF(845,701) = HCF(6616,845) .

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Frequently Asked Questions on HCF of 845, 6616 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 845, 6616?

Answer: HCF of 845, 6616 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 845, 6616 using Euclid's Algorithm?

Answer: For arbitrary numbers 845, 6616 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.