Highest Common Factor of 4403, 6858 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 4403, 6858 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4403, 6858 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 4403, 6858 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 4403, 6858 is 1.

HCF(4403, 6858) = 1

HCF of 4403, 6858 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 4403, 6858 is 1.

Highest Common Factor of 4403,6858 using Euclid's algorithm

Highest Common Factor of 4403,6858 is 1

Step 1: Since 6858 > 4403, we apply the division lemma to 6858 and 4403, to get

6858 = 4403 x 1 + 2455

Step 2: Since the reminder 4403 ≠ 0, we apply division lemma to 2455 and 4403, to get

4403 = 2455 x 1 + 1948

Step 3: We consider the new divisor 2455 and the new remainder 1948, and apply the division lemma to get

2455 = 1948 x 1 + 507

We consider the new divisor 1948 and the new remainder 507,and apply the division lemma to get

1948 = 507 x 3 + 427

We consider the new divisor 507 and the new remainder 427,and apply the division lemma to get

507 = 427 x 1 + 80

We consider the new divisor 427 and the new remainder 80,and apply the division lemma to get

427 = 80 x 5 + 27

We consider the new divisor 80 and the new remainder 27,and apply the division lemma to get

80 = 27 x 2 + 26

We consider the new divisor 27 and the new remainder 26,and apply the division lemma to get

27 = 26 x 1 + 1

We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get

26 = 1 x 26 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4403 and 6858 is 1

Notice that 1 = HCF(26,1) = HCF(27,26) = HCF(80,27) = HCF(427,80) = HCF(507,427) = HCF(1948,507) = HCF(2455,1948) = HCF(4403,2455) = HCF(6858,4403) .

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Frequently Asked Questions on HCF of 4403, 6858 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 4403, 6858?

Answer: HCF of 4403, 6858 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4403, 6858 using Euclid's Algorithm?

Answer: For arbitrary numbers 4403, 6858 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.