Highest Common Factor of 555, 332 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 555, 332 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 555, 332 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 555, 332 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 555, 332 is 1.

HCF(555, 332) = 1

HCF of 555, 332 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 555, 332 is 1.

Highest Common Factor of 555,332 using Euclid's algorithm

Highest Common Factor of 555,332 is 1

Step 1: Since 555 > 332, we apply the division lemma to 555 and 332, to get

555 = 332 x 1 + 223

Step 2: Since the reminder 332 ≠ 0, we apply division lemma to 223 and 332, to get

332 = 223 x 1 + 109

Step 3: We consider the new divisor 223 and the new remainder 109, and apply the division lemma to get

223 = 109 x 2 + 5

We consider the new divisor 109 and the new remainder 5,and apply the division lemma to get

109 = 5 x 21 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 555 and 332 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(109,5) = HCF(223,109) = HCF(332,223) = HCF(555,332) .

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Frequently Asked Questions on HCF of 555, 332 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 555, 332?

Answer: HCF of 555, 332 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 555, 332 using Euclid's Algorithm?

Answer: For arbitrary numbers 555, 332 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.