Highest Common Factor of 9221, 4072 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 9221, 4072 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9221, 4072 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 9221, 4072 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 9221, 4072 is 1.

HCF(9221, 4072) = 1

HCF of 9221, 4072 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 9221, 4072 is 1.

Highest Common Factor of 9221,4072 using Euclid's algorithm

Highest Common Factor of 9221,4072 is 1

Step 1: Since 9221 > 4072, we apply the division lemma to 9221 and 4072, to get

9221 = 4072 x 2 + 1077

Step 2: Since the reminder 4072 ≠ 0, we apply division lemma to 1077 and 4072, to get

4072 = 1077 x 3 + 841

Step 3: We consider the new divisor 1077 and the new remainder 841, and apply the division lemma to get

1077 = 841 x 1 + 236

We consider the new divisor 841 and the new remainder 236,and apply the division lemma to get

841 = 236 x 3 + 133

We consider the new divisor 236 and the new remainder 133,and apply the division lemma to get

236 = 133 x 1 + 103

We consider the new divisor 133 and the new remainder 103,and apply the division lemma to get

133 = 103 x 1 + 30

We consider the new divisor 103 and the new remainder 30,and apply the division lemma to get

103 = 30 x 3 + 13

We consider the new divisor 30 and the new remainder 13,and apply the division lemma to get

30 = 13 x 2 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9221 and 4072 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(30,13) = HCF(103,30) = HCF(133,103) = HCF(236,133) = HCF(841,236) = HCF(1077,841) = HCF(4072,1077) = HCF(9221,4072) .

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Frequently Asked Questions on HCF of 9221, 4072 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 9221, 4072?

Answer: HCF of 9221, 4072 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9221, 4072 using Euclid's Algorithm?

Answer: For arbitrary numbers 9221, 4072 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.