Highest Common Factor of 4294, 9783 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 4294, 9783 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4294, 9783 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 4294, 9783 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 4294, 9783 is 1.

HCF(4294, 9783) = 1

HCF of 4294, 9783 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 4294, 9783 is 1.

Highest Common Factor of 4294,9783 using Euclid's algorithm

Highest Common Factor of 4294,9783 is 1

Step 1: Since 9783 > 4294, we apply the division lemma to 9783 and 4294, to get

9783 = 4294 x 2 + 1195

Step 2: Since the reminder 4294 ≠ 0, we apply division lemma to 1195 and 4294, to get

4294 = 1195 x 3 + 709

Step 3: We consider the new divisor 1195 and the new remainder 709, and apply the division lemma to get

1195 = 709 x 1 + 486

We consider the new divisor 709 and the new remainder 486,and apply the division lemma to get

709 = 486 x 1 + 223

We consider the new divisor 486 and the new remainder 223,and apply the division lemma to get

486 = 223 x 2 + 40

We consider the new divisor 223 and the new remainder 40,and apply the division lemma to get

223 = 40 x 5 + 23

We consider the new divisor 40 and the new remainder 23,and apply the division lemma to get

40 = 23 x 1 + 17

We consider the new divisor 23 and the new remainder 17,and apply the division lemma to get

23 = 17 x 1 + 6

We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get

17 = 6 x 2 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4294 and 9783 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(23,17) = HCF(40,23) = HCF(223,40) = HCF(486,223) = HCF(709,486) = HCF(1195,709) = HCF(4294,1195) = HCF(9783,4294) .

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Frequently Asked Questions on HCF of 4294, 9783 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 4294, 9783?

Answer: HCF of 4294, 9783 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4294, 9783 using Euclid's Algorithm?

Answer: For arbitrary numbers 4294, 9783 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.