Highest Common Factor of 4673, 8332, 28305 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 4673, 8332, 28305 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4673, 8332, 28305 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 4673, 8332, 28305 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 4673, 8332, 28305 is 1.

HCF(4673, 8332, 28305) = 1

HCF of 4673, 8332, 28305 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 4673, 8332, 28305 is 1.

Highest Common Factor of 4673,8332,28305 using Euclid's algorithm

Highest Common Factor of 4673,8332,28305 is 1

Step 1: Since 8332 > 4673, we apply the division lemma to 8332 and 4673, to get

8332 = 4673 x 1 + 3659

Step 2: Since the reminder 4673 ≠ 0, we apply division lemma to 3659 and 4673, to get

4673 = 3659 x 1 + 1014

Step 3: We consider the new divisor 3659 and the new remainder 1014, and apply the division lemma to get

3659 = 1014 x 3 + 617

We consider the new divisor 1014 and the new remainder 617,and apply the division lemma to get

1014 = 617 x 1 + 397

We consider the new divisor 617 and the new remainder 397,and apply the division lemma to get

617 = 397 x 1 + 220

We consider the new divisor 397 and the new remainder 220,and apply the division lemma to get

397 = 220 x 1 + 177

We consider the new divisor 220 and the new remainder 177,and apply the division lemma to get

220 = 177 x 1 + 43

We consider the new divisor 177 and the new remainder 43,and apply the division lemma to get

177 = 43 x 4 + 5

We consider the new divisor 43 and the new remainder 5,and apply the division lemma to get

43 = 5 x 8 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 4673 and 8332 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(43,5) = HCF(177,43) = HCF(220,177) = HCF(397,220) = HCF(617,397) = HCF(1014,617) = HCF(3659,1014) = HCF(4673,3659) = HCF(8332,4673) .

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

Step 1: Since 28305 > 1, we apply the division lemma to 28305 and 1, to get

28305 = 1 x 28305 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 28305 is 1

Notice that 1 = HCF(28305,1) .

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Frequently Asked Questions on HCF of 4673, 8332, 28305 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 4673, 8332, 28305?

Answer: HCF of 4673, 8332, 28305 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4673, 8332, 28305 using Euclid's Algorithm?

Answer: For arbitrary numbers 4673, 8332, 28305 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.