Highest Common Factor of 9863, 9689, 74504 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 9863, 9689, 74504 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9863, 9689, 74504 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 9863, 9689, 74504 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 9863, 9689, 74504 is 1.

HCF(9863, 9689, 74504) = 1

HCF of 9863, 9689, 74504 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 9863, 9689, 74504 is 1.

Highest Common Factor of 9863,9689,74504 using Euclid's algorithm

Highest Common Factor of 9863,9689,74504 is 1

Step 1: Since 9863 > 9689, we apply the division lemma to 9863 and 9689, to get

9863 = 9689 x 1 + 174

Step 2: Since the reminder 9689 ≠ 0, we apply division lemma to 174 and 9689, to get

9689 = 174 x 55 + 119

Step 3: We consider the new divisor 174 and the new remainder 119, and apply the division lemma to get

174 = 119 x 1 + 55

We consider the new divisor 119 and the new remainder 55,and apply the division lemma to get

119 = 55 x 2 + 9

We consider the new divisor 55 and the new remainder 9,and apply the division lemma to get

55 = 9 x 6 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9863 and 9689 is 1

Notice that 1 = HCF(9,1) = HCF(55,9) = HCF(119,55) = HCF(174,119) = HCF(9689,174) = HCF(9863,9689) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 74504 > 1, we apply the division lemma to 74504 and 1, to get

74504 = 1 x 74504 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 74504 is 1

Notice that 1 = HCF(74504,1) .

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Frequently Asked Questions on HCF of 9863, 9689, 74504 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 9863, 9689, 74504?

Answer: HCF of 9863, 9689, 74504 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9863, 9689, 74504 using Euclid's Algorithm?

Answer: For arbitrary numbers 9863, 9689, 74504 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.