Highest Common Factor of 1851, 6607 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 1851, 6607 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1851, 6607 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 1851, 6607 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 1851, 6607 is 1.

HCF(1851, 6607) = 1

HCF of 1851, 6607 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 1851, 6607 is 1.

Highest Common Factor of 1851,6607 using Euclid's algorithm

Highest Common Factor of 1851,6607 is 1

Step 1: Since 6607 > 1851, we apply the division lemma to 6607 and 1851, to get

6607 = 1851 x 3 + 1054

Step 2: Since the reminder 1851 ≠ 0, we apply division lemma to 1054 and 1851, to get

1851 = 1054 x 1 + 797

Step 3: We consider the new divisor 1054 and the new remainder 797, and apply the division lemma to get

1054 = 797 x 1 + 257

We consider the new divisor 797 and the new remainder 257,and apply the division lemma to get

797 = 257 x 3 + 26

We consider the new divisor 257 and the new remainder 26,and apply the division lemma to get

257 = 26 x 9 + 23

We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get

26 = 23 x 1 + 3

We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get

23 = 3 x 7 + 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 1851 and 6607 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(257,26) = HCF(797,257) = HCF(1054,797) = HCF(1851,1054) = HCF(6607,1851) .

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Frequently Asked Questions on HCF of 1851, 6607 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 1851, 6607?

Answer: HCF of 1851, 6607 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1851, 6607 using Euclid's Algorithm?

Answer: For arbitrary numbers 1851, 6607 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.