Highest Common Factor of 558, 763, 203 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 558, 763, 203 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 558, 763, 203 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 558, 763, 203 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 558, 763, 203 is 1.

HCF(558, 763, 203) = 1

HCF of 558, 763, 203 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 558, 763, 203 is 1.

Highest Common Factor of 558,763,203 using Euclid's algorithm

Highest Common Factor of 558,763,203 is 1

Step 1: Since 763 > 558, we apply the division lemma to 763 and 558, to get

763 = 558 x 1 + 205

Step 2: Since the reminder 558 ≠ 0, we apply division lemma to 205 and 558, to get

558 = 205 x 2 + 148

Step 3: We consider the new divisor 205 and the new remainder 148, and apply the division lemma to get

205 = 148 x 1 + 57

We consider the new divisor 148 and the new remainder 57,and apply the division lemma to get

148 = 57 x 2 + 34

We consider the new divisor 57 and the new remainder 34,and apply the division lemma to get

57 = 34 x 1 + 23

We consider the new divisor 34 and the new remainder 23,and apply the division lemma to get

34 = 23 x 1 + 11

We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get

23 = 11 x 2 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 558 and 763 is 1

Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(34,23) = HCF(57,34) = HCF(148,57) = HCF(205,148) = HCF(558,205) = HCF(763,558) .

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

Step 1: Since 203 > 1, we apply the division lemma to 203 and 1, to get

203 = 1 x 203 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 203 is 1

Notice that 1 = HCF(203,1) .

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Frequently Asked Questions on HCF of 558, 763, 203 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 558, 763, 203?

Answer: HCF of 558, 763, 203 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 558, 763, 203 using Euclid's Algorithm?

Answer: For arbitrary numbers 558, 763, 203 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.