Highest Common Factor of 544, 7473, 9268 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 544, 7473, 9268 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 544, 7473, 9268 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 544, 7473, 9268 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 544, 7473, 9268 is 1.

HCF(544, 7473, 9268) = 1

HCF of 544, 7473, 9268 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 544, 7473, 9268 is 1.

Highest Common Factor of 544,7473,9268 using Euclid's algorithm

Highest Common Factor of 544,7473,9268 is 1

Step 1: Since 7473 > 544, we apply the division lemma to 7473 and 544, to get

7473 = 544 x 13 + 401

Step 2: Since the reminder 544 ≠ 0, we apply division lemma to 401 and 544, to get

544 = 401 x 1 + 143

Step 3: We consider the new divisor 401 and the new remainder 143, and apply the division lemma to get

401 = 143 x 2 + 115

We consider the new divisor 143 and the new remainder 115,and apply the division lemma to get

143 = 115 x 1 + 28

We consider the new divisor 115 and the new remainder 28,and apply the division lemma to get

115 = 28 x 4 + 3

We consider the new divisor 28 and the new remainder 3,and apply the division lemma to get

28 = 3 x 9 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 544 and 7473 is 1

Notice that 1 = HCF(3,1) = HCF(28,3) = HCF(115,28) = HCF(143,115) = HCF(401,143) = HCF(544,401) = HCF(7473,544) .

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

Step 1: Since 9268 > 1, we apply the division lemma to 9268 and 1, to get

9268 = 1 x 9268 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9268 is 1

Notice that 1 = HCF(9268,1) .

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Frequently Asked Questions on HCF of 544, 7473, 9268 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 544, 7473, 9268?

Answer: HCF of 544, 7473, 9268 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 544, 7473, 9268 using Euclid's Algorithm?

Answer: For arbitrary numbers 544, 7473, 9268 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.