Highest Common Factor of 543, 947, 495 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 543, 947, 495 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 543, 947, 495 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 543, 947, 495 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 543, 947, 495 is 1.

HCF(543, 947, 495) = 1

HCF of 543, 947, 495 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 543, 947, 495 is 1.

Highest Common Factor of 543,947,495 using Euclid's algorithm

Highest Common Factor of 543,947,495 is 1

Step 1: Since 947 > 543, we apply the division lemma to 947 and 543, to get

947 = 543 x 1 + 404

Step 2: Since the reminder 543 ≠ 0, we apply division lemma to 404 and 543, to get

543 = 404 x 1 + 139

Step 3: We consider the new divisor 404 and the new remainder 139, and apply the division lemma to get

404 = 139 x 2 + 126

We consider the new divisor 139 and the new remainder 126,and apply the division lemma to get

139 = 126 x 1 + 13

We consider the new divisor 126 and the new remainder 13,and apply the division lemma to get

126 = 13 x 9 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 543 and 947 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(126,13) = HCF(139,126) = HCF(404,139) = HCF(543,404) = HCF(947,543) .

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

Step 1: Since 495 > 1, we apply the division lemma to 495 and 1, to get

495 = 1 x 495 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 495 is 1

Notice that 1 = HCF(495,1) .

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Frequently Asked Questions on HCF of 543, 947, 495 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 543, 947, 495?

Answer: HCF of 543, 947, 495 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 543, 947, 495 using Euclid's Algorithm?

Answer: For arbitrary numbers 543, 947, 495 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.