Highest Common Factor of 958, 593, 549 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 958, 593, 549 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 958, 593, 549 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 958, 593, 549 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 958, 593, 549 is 1.

HCF(958, 593, 549) = 1

HCF of 958, 593, 549 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 958, 593, 549 is 1.

Highest Common Factor of 958,593,549 using Euclid's algorithm

Highest Common Factor of 958,593,549 is 1

Step 1: Since 958 > 593, we apply the division lemma to 958 and 593, to get

958 = 593 x 1 + 365

Step 2: Since the reminder 593 ≠ 0, we apply division lemma to 365 and 593, to get

593 = 365 x 1 + 228

Step 3: We consider the new divisor 365 and the new remainder 228, and apply the division lemma to get

365 = 228 x 1 + 137

We consider the new divisor 228 and the new remainder 137,and apply the division lemma to get

228 = 137 x 1 + 91

We consider the new divisor 137 and the new remainder 91,and apply the division lemma to get

137 = 91 x 1 + 46

We consider the new divisor 91 and the new remainder 46,and apply the division lemma to get

91 = 46 x 1 + 45

We consider the new divisor 46 and the new remainder 45,and apply the division lemma to get

46 = 45 x 1 + 1

We consider the new divisor 45 and the new remainder 1,and apply the division lemma to get

45 = 1 x 45 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 958 and 593 is 1

Notice that 1 = HCF(45,1) = HCF(46,45) = HCF(91,46) = HCF(137,91) = HCF(228,137) = HCF(365,228) = HCF(593,365) = HCF(958,593) .

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

Step 1: Since 549 > 1, we apply the division lemma to 549 and 1, to get

549 = 1 x 549 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 549 is 1

Notice that 1 = HCF(549,1) .

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Frequently Asked Questions on HCF of 958, 593, 549 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 958, 593, 549?

Answer: HCF of 958, 593, 549 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 958, 593, 549 using Euclid's Algorithm?

Answer: For arbitrary numbers 958, 593, 549 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.