Highest Common Factor of 4617, 2227, 98786 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 4617, 2227, 98786 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4617, 2227, 98786 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 4617, 2227, 98786 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 4617, 2227, 98786 is 1.

HCF(4617, 2227, 98786) = 1

HCF of 4617, 2227, 98786 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 4617, 2227, 98786 is 1.

Highest Common Factor of 4617,2227,98786 using Euclid's algorithm

Highest Common Factor of 4617,2227,98786 is 1

Step 1: Since 4617 > 2227, we apply the division lemma to 4617 and 2227, to get

4617 = 2227 x 2 + 163

Step 2: Since the reminder 2227 ≠ 0, we apply division lemma to 163 and 2227, to get

2227 = 163 x 13 + 108

Step 3: We consider the new divisor 163 and the new remainder 108, and apply the division lemma to get

163 = 108 x 1 + 55

We consider the new divisor 108 and the new remainder 55,and apply the division lemma to get

108 = 55 x 1 + 53

We consider the new divisor 55 and the new remainder 53,and apply the division lemma to get

55 = 53 x 1 + 2

We consider the new divisor 53 and the new remainder 2,and apply the division lemma to get

53 = 2 x 26 + 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 4617 and 2227 is 1

Notice that 1 = HCF(2,1) = HCF(53,2) = HCF(55,53) = HCF(108,55) = HCF(163,108) = HCF(2227,163) = HCF(4617,2227) .

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

Step 1: Since 98786 > 1, we apply the division lemma to 98786 and 1, to get

98786 = 1 x 98786 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 98786 is 1

Notice that 1 = HCF(98786,1) .

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Frequently Asked Questions on HCF of 4617, 2227, 98786 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 4617, 2227, 98786?

Answer: HCF of 4617, 2227, 98786 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4617, 2227, 98786 using Euclid's Algorithm?

Answer: For arbitrary numbers 4617, 2227, 98786 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.