Highest Common Factor of 9784, 4177 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 9784, 4177 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9784, 4177 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 9784, 4177 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 9784, 4177 is 1.

HCF(9784, 4177) = 1

HCF of 9784, 4177 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 9784, 4177 is 1.

Highest Common Factor of 9784,4177 using Euclid's algorithm

Highest Common Factor of 9784,4177 is 1

Step 1: Since 9784 > 4177, we apply the division lemma to 9784 and 4177, to get

9784 = 4177 x 2 + 1430

Step 2: Since the reminder 4177 ≠ 0, we apply division lemma to 1430 and 4177, to get

4177 = 1430 x 2 + 1317

Step 3: We consider the new divisor 1430 and the new remainder 1317, and apply the division lemma to get

1430 = 1317 x 1 + 113

We consider the new divisor 1317 and the new remainder 113,and apply the division lemma to get

1317 = 113 x 11 + 74

We consider the new divisor 113 and the new remainder 74,and apply the division lemma to get

113 = 74 x 1 + 39

We consider the new divisor 74 and the new remainder 39,and apply the division lemma to get

74 = 39 x 1 + 35

We consider the new divisor 39 and the new remainder 35,and apply the division lemma to get

39 = 35 x 1 + 4

We consider the new divisor 35 and the new remainder 4,and apply the division lemma to get

35 = 4 x 8 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9784 and 4177 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(35,4) = HCF(39,35) = HCF(74,39) = HCF(113,74) = HCF(1317,113) = HCF(1430,1317) = HCF(4177,1430) = HCF(9784,4177) .

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Frequently Asked Questions on HCF of 9784, 4177 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 9784, 4177?

Answer: HCF of 9784, 4177 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9784, 4177 using Euclid's Algorithm?

Answer: For arbitrary numbers 9784, 4177 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.