Highest Common Factor of 736, 545 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 736, 545 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 736, 545 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 736, 545 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 736, 545 is 1.

HCF(736, 545) = 1

HCF of 736, 545 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 736, 545 is 1.

Highest Common Factor of 736,545 using Euclid's algorithm

Highest Common Factor of 736,545 is 1

Step 1: Since 736 > 545, we apply the division lemma to 736 and 545, to get

736 = 545 x 1 + 191

Step 2: Since the reminder 545 ≠ 0, we apply division lemma to 191 and 545, to get

545 = 191 x 2 + 163

Step 3: We consider the new divisor 191 and the new remainder 163, and apply the division lemma to get

191 = 163 x 1 + 28

We consider the new divisor 163 and the new remainder 28,and apply the division lemma to get

163 = 28 x 5 + 23

We consider the new divisor 28 and the new remainder 23,and apply the division lemma to get

28 = 23 x 1 + 5

We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get

23 = 5 x 4 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 736 and 545 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(28,23) = HCF(163,28) = HCF(191,163) = HCF(545,191) = HCF(736,545) .

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Frequently Asked Questions on HCF of 736, 545 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 736, 545?

Answer: HCF of 736, 545 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 736, 545 using Euclid's Algorithm?

Answer: For arbitrary numbers 736, 545 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.