Highest Common Factor of 903, 8846, 9610 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 903, 8846, 9610 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 903, 8846, 9610 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 903, 8846, 9610 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 903, 8846, 9610 is 1.

HCF(903, 8846, 9610) = 1

HCF of 903, 8846, 9610 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 903, 8846, 9610 is 1.

Highest Common Factor of 903,8846,9610 using Euclid's algorithm

Highest Common Factor of 903,8846,9610 is 1

Step 1: Since 8846 > 903, we apply the division lemma to 8846 and 903, to get

8846 = 903 x 9 + 719

Step 2: Since the reminder 903 ≠ 0, we apply division lemma to 719 and 903, to get

903 = 719 x 1 + 184

Step 3: We consider the new divisor 719 and the new remainder 184, and apply the division lemma to get

719 = 184 x 3 + 167

We consider the new divisor 184 and the new remainder 167,and apply the division lemma to get

184 = 167 x 1 + 17

We consider the new divisor 167 and the new remainder 17,and apply the division lemma to get

167 = 17 x 9 + 14

We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get

17 = 14 x 1 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 903 and 8846 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(167,17) = HCF(184,167) = HCF(719,184) = HCF(903,719) = HCF(8846,903) .

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

Step 1: Since 9610 > 1, we apply the division lemma to 9610 and 1, to get

9610 = 1 x 9610 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9610 is 1

Notice that 1 = HCF(9610,1) .

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Frequently Asked Questions on HCF of 903, 8846, 9610 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 903, 8846, 9610?

Answer: HCF of 903, 8846, 9610 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 903, 8846, 9610 using Euclid's Algorithm?

Answer: For arbitrary numbers 903, 8846, 9610 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.