Highest Common Factor of 548, 966, 595 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 548, 966, 595 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 548, 966, 595 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 548, 966, 595 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 548, 966, 595 is 1.

HCF(548, 966, 595) = 1

HCF of 548, 966, 595 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 548, 966, 595 is 1.

Highest Common Factor of 548,966,595 using Euclid's algorithm

Highest Common Factor of 548,966,595 is 1

Step 1: Since 966 > 548, we apply the division lemma to 966 and 548, to get

966 = 548 x 1 + 418

Step 2: Since the reminder 548 ≠ 0, we apply division lemma to 418 and 548, to get

548 = 418 x 1 + 130

Step 3: We consider the new divisor 418 and the new remainder 130, and apply the division lemma to get

418 = 130 x 3 + 28

We consider the new divisor 130 and the new remainder 28,and apply the division lemma to get

130 = 28 x 4 + 18

We consider the new divisor 28 and the new remainder 18,and apply the division lemma to get

28 = 18 x 1 + 10

We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get

18 = 10 x 1 + 8

We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get

10 = 8 x 1 + 2

We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get

8 = 2 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 548 and 966 is 2

Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(28,18) = HCF(130,28) = HCF(418,130) = HCF(548,418) = HCF(966,548) .

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

Step 1: Since 595 > 2, we apply the division lemma to 595 and 2, to get

595 = 2 x 297 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 595 is 1

Notice that 1 = HCF(2,1) = HCF(595,2) .

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Frequently Asked Questions on HCF of 548, 966, 595 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 548, 966, 595?

Answer: HCF of 548, 966, 595 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 548, 966, 595 using Euclid's Algorithm?

Answer: For arbitrary numbers 548, 966, 595 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.