Highest Common Factor of 9421, 7372 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 9421, 7372 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9421, 7372 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 9421, 7372 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 9421, 7372 is 1.

HCF(9421, 7372) = 1

HCF of 9421, 7372 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 9421, 7372 is 1.

Highest Common Factor of 9421,7372 using Euclid's algorithm

Highest Common Factor of 9421,7372 is 1

Step 1: Since 9421 > 7372, we apply the division lemma to 9421 and 7372, to get

9421 = 7372 x 1 + 2049

Step 2: Since the reminder 7372 ≠ 0, we apply division lemma to 2049 and 7372, to get

7372 = 2049 x 3 + 1225

Step 3: We consider the new divisor 2049 and the new remainder 1225, and apply the division lemma to get

2049 = 1225 x 1 + 824

We consider the new divisor 1225 and the new remainder 824,and apply the division lemma to get

1225 = 824 x 1 + 401

We consider the new divisor 824 and the new remainder 401,and apply the division lemma to get

824 = 401 x 2 + 22

We consider the new divisor 401 and the new remainder 22,and apply the division lemma to get

401 = 22 x 18 + 5

We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get

22 = 5 x 4 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 9421 and 7372 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(401,22) = HCF(824,401) = HCF(1225,824) = HCF(2049,1225) = HCF(7372,2049) = HCF(9421,7372) .

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Frequently Asked Questions on HCF of 9421, 7372 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 9421, 7372?

Answer: HCF of 9421, 7372 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9421, 7372 using Euclid's Algorithm?

Answer: For arbitrary numbers 9421, 7372 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.