Highest Common Factor of 9045, 3902, 66201 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 9045, 3902, 66201 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9045, 3902, 66201 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 9045, 3902, 66201 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 9045, 3902, 66201 is 1.

HCF(9045, 3902, 66201) = 1

HCF of 9045, 3902, 66201 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 9045, 3902, 66201 is 1.

Highest Common Factor of 9045,3902,66201 using Euclid's algorithm

Highest Common Factor of 9045,3902,66201 is 1

Step 1: Since 9045 > 3902, we apply the division lemma to 9045 and 3902, to get

9045 = 3902 x 2 + 1241

Step 2: Since the reminder 3902 ≠ 0, we apply division lemma to 1241 and 3902, to get

3902 = 1241 x 3 + 179

Step 3: We consider the new divisor 1241 and the new remainder 179, and apply the division lemma to get

1241 = 179 x 6 + 167

We consider the new divisor 179 and the new remainder 167,and apply the division lemma to get

179 = 167 x 1 + 12

We consider the new divisor 167 and the new remainder 12,and apply the division lemma to get

167 = 12 x 13 + 11

We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get

12 = 11 x 1 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9045 and 3902 is 1

Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(167,12) = HCF(179,167) = HCF(1241,179) = HCF(3902,1241) = HCF(9045,3902) .

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

Step 1: Since 66201 > 1, we apply the division lemma to 66201 and 1, to get

66201 = 1 x 66201 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 66201 is 1

Notice that 1 = HCF(66201,1) .

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Frequently Asked Questions on HCF of 9045, 3902, 66201 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 9045, 3902, 66201?

Answer: HCF of 9045, 3902, 66201 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9045, 3902, 66201 using Euclid's Algorithm?

Answer: For arbitrary numbers 9045, 3902, 66201 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.