Highest Common Factor of 9028, 3127, 20210 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 9028, 3127, 20210 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9028, 3127, 20210 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 9028, 3127, 20210 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 9028, 3127, 20210 is 1.

HCF(9028, 3127, 20210) = 1

HCF of 9028, 3127, 20210 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 9028, 3127, 20210 is 1.

Highest Common Factor of 9028,3127,20210 using Euclid's algorithm

Highest Common Factor of 9028,3127,20210 is 1

Step 1: Since 9028 > 3127, we apply the division lemma to 9028 and 3127, to get

9028 = 3127 x 2 + 2774

Step 2: Since the reminder 3127 ≠ 0, we apply division lemma to 2774 and 3127, to get

3127 = 2774 x 1 + 353

Step 3: We consider the new divisor 2774 and the new remainder 353, and apply the division lemma to get

2774 = 353 x 7 + 303

We consider the new divisor 353 and the new remainder 303,and apply the division lemma to get

353 = 303 x 1 + 50

We consider the new divisor 303 and the new remainder 50,and apply the division lemma to get

303 = 50 x 6 + 3

We consider the new divisor 50 and the new remainder 3,and apply the division lemma to get

50 = 3 x 16 + 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 9028 and 3127 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(50,3) = HCF(303,50) = HCF(353,303) = HCF(2774,353) = HCF(3127,2774) = HCF(9028,3127) .

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

Step 1: Since 20210 > 1, we apply the division lemma to 20210 and 1, to get

20210 = 1 x 20210 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 20210 is 1

Notice that 1 = HCF(20210,1) .

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Frequently Asked Questions on HCF of 9028, 3127, 20210 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 9028, 3127, 20210?

Answer: HCF of 9028, 3127, 20210 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9028, 3127, 20210 using Euclid's Algorithm?

Answer: For arbitrary numbers 9028, 3127, 20210 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.