Highest Common Factor of 4205, 7784 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 4205, 7784 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4205, 7784 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 4205, 7784 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 4205, 7784 is 1.

HCF(4205, 7784) = 1

HCF of 4205, 7784 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 4205, 7784 is 1.

Highest Common Factor of 4205,7784 using Euclid's algorithm

Highest Common Factor of 4205,7784 is 1

Step 1: Since 7784 > 4205, we apply the division lemma to 7784 and 4205, to get

7784 = 4205 x 1 + 3579

Step 2: Since the reminder 4205 ≠ 0, we apply division lemma to 3579 and 4205, to get

4205 = 3579 x 1 + 626

Step 3: We consider the new divisor 3579 and the new remainder 626, and apply the division lemma to get

3579 = 626 x 5 + 449

We consider the new divisor 626 and the new remainder 449,and apply the division lemma to get

626 = 449 x 1 + 177

We consider the new divisor 449 and the new remainder 177,and apply the division lemma to get

449 = 177 x 2 + 95

We consider the new divisor 177 and the new remainder 95,and apply the division lemma to get

177 = 95 x 1 + 82

We consider the new divisor 95 and the new remainder 82,and apply the division lemma to get

95 = 82 x 1 + 13

We consider the new divisor 82 and the new remainder 13,and apply the division lemma to get

82 = 13 x 6 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4205 and 7784 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(82,13) = HCF(95,82) = HCF(177,95) = HCF(449,177) = HCF(626,449) = HCF(3579,626) = HCF(4205,3579) = HCF(7784,4205) .

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Frequently Asked Questions on HCF of 4205, 7784 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 4205, 7784?

Answer: HCF of 4205, 7784 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4205, 7784 using Euclid's Algorithm?

Answer: For arbitrary numbers 4205, 7784 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.