Highest Common Factor of 737, 536, 493 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 737, 536, 493 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 737, 536, 493 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 737, 536, 493 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 737, 536, 493 is 1.

HCF(737, 536, 493) = 1

HCF of 737, 536, 493 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 737, 536, 493 is 1.

Highest Common Factor of 737,536,493 using Euclid's algorithm

Highest Common Factor of 737,536,493 is 1

Step 1: Since 737 > 536, we apply the division lemma to 737 and 536, to get

737 = 536 x 1 + 201

Step 2: Since the reminder 536 ≠ 0, we apply division lemma to 201 and 536, to get

536 = 201 x 2 + 134

Step 3: We consider the new divisor 201 and the new remainder 134, and apply the division lemma to get

201 = 134 x 1 + 67

We consider the new divisor 134 and the new remainder 67, and apply the division lemma to get

134 = 67 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 67, the HCF of 737 and 536 is 67

Notice that 67 = HCF(134,67) = HCF(201,134) = HCF(536,201) = HCF(737,536) .

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

Step 1: Since 493 > 67, we apply the division lemma to 493 and 67, to get

493 = 67 x 7 + 24

Step 2: Since the reminder 67 ≠ 0, we apply division lemma to 24 and 67, to get

67 = 24 x 2 + 19

Step 3: We consider the new divisor 24 and the new remainder 19, and apply the division lemma to get

24 = 19 x 1 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 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 67 and 493 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(24,19) = HCF(67,24) = HCF(493,67) .

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Frequently Asked Questions on HCF of 737, 536, 493 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 737, 536, 493?

Answer: HCF of 737, 536, 493 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 737, 536, 493 using Euclid's Algorithm?

Answer: For arbitrary numbers 737, 536, 493 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.