Highest Common Factor of 4402, 6905 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 4402, 6905 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4402, 6905 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 4402, 6905 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 4402, 6905 is 1.

HCF(4402, 6905) = 1

HCF of 4402, 6905 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 4402, 6905 is 1.

Highest Common Factor of 4402,6905 using Euclid's algorithm

Highest Common Factor of 4402,6905 is 1

Step 1: Since 6905 > 4402, we apply the division lemma to 6905 and 4402, to get

6905 = 4402 x 1 + 2503

Step 2: Since the reminder 4402 ≠ 0, we apply division lemma to 2503 and 4402, to get

4402 = 2503 x 1 + 1899

Step 3: We consider the new divisor 2503 and the new remainder 1899, and apply the division lemma to get

2503 = 1899 x 1 + 604

We consider the new divisor 1899 and the new remainder 604,and apply the division lemma to get

1899 = 604 x 3 + 87

We consider the new divisor 604 and the new remainder 87,and apply the division lemma to get

604 = 87 x 6 + 82

We consider the new divisor 87 and the new remainder 82,and apply the division lemma to get

87 = 82 x 1 + 5

We consider the new divisor 82 and the new remainder 5,and apply the division lemma to get

82 = 5 x 16 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 4402 and 6905 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(82,5) = HCF(87,82) = HCF(604,87) = HCF(1899,604) = HCF(2503,1899) = HCF(4402,2503) = HCF(6905,4402) .

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Frequently Asked Questions on HCF of 4402, 6905 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 4402, 6905?

Answer: HCF of 4402, 6905 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4402, 6905 using Euclid's Algorithm?

Answer: For arbitrary numbers 4402, 6905 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.