Highest Common Factor of 9273, 3484 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 9273, 3484 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9273, 3484 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 9273, 3484 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 9273, 3484 is 1.

HCF(9273, 3484) = 1

HCF of 9273, 3484 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 9273, 3484 is 1.

Highest Common Factor of 9273,3484 using Euclid's algorithm

Highest Common Factor of 9273,3484 is 1

Step 1: Since 9273 > 3484, we apply the division lemma to 9273 and 3484, to get

9273 = 3484 x 2 + 2305

Step 2: Since the reminder 3484 ≠ 0, we apply division lemma to 2305 and 3484, to get

3484 = 2305 x 1 + 1179

Step 3: We consider the new divisor 2305 and the new remainder 1179, and apply the division lemma to get

2305 = 1179 x 1 + 1126

We consider the new divisor 1179 and the new remainder 1126,and apply the division lemma to get

1179 = 1126 x 1 + 53

We consider the new divisor 1126 and the new remainder 53,and apply the division lemma to get

1126 = 53 x 21 + 13

We consider the new divisor 53 and the new remainder 13,and apply the division lemma to get

53 = 13 x 4 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9273 and 3484 is 1

Notice that 1 = HCF(13,1) = HCF(53,13) = HCF(1126,53) = HCF(1179,1126) = HCF(2305,1179) = HCF(3484,2305) = HCF(9273,3484) .

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Frequently Asked Questions on HCF of 9273, 3484 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 9273, 3484?

Answer: HCF of 9273, 3484 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9273, 3484 using Euclid's Algorithm?

Answer: For arbitrary numbers 9273, 3484 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.