Highest Common Factor of 922, 543, 576 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 922, 543, 576 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 922, 543, 576 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 922, 543, 576 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 922, 543, 576 is 1.

HCF(922, 543, 576) = 1

HCF of 922, 543, 576 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 922, 543, 576 is 1.

Highest Common Factor of 922,543,576 using Euclid's algorithm

Highest Common Factor of 922,543,576 is 1

Step 1: Since 922 > 543, we apply the division lemma to 922 and 543, to get

922 = 543 x 1 + 379

Step 2: Since the reminder 543 ≠ 0, we apply division lemma to 379 and 543, to get

543 = 379 x 1 + 164

Step 3: We consider the new divisor 379 and the new remainder 164, and apply the division lemma to get

379 = 164 x 2 + 51

We consider the new divisor 164 and the new remainder 51,and apply the division lemma to get

164 = 51 x 3 + 11

We consider the new divisor 51 and the new remainder 11,and apply the division lemma to get

51 = 11 x 4 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 922 and 543 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(51,11) = HCF(164,51) = HCF(379,164) = HCF(543,379) = HCF(922,543) .

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

Step 1: Since 576 > 1, we apply the division lemma to 576 and 1, to get

576 = 1 x 576 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 576 is 1

Notice that 1 = HCF(576,1) .

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Frequently Asked Questions on HCF of 922, 543, 576 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 922, 543, 576?

Answer: HCF of 922, 543, 576 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 922, 543, 576 using Euclid's Algorithm?

Answer: For arbitrary numbers 922, 543, 576 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.