Highest Common Factor of 362, 905, 747 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 362, 905, 747 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 362, 905, 747 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 362, 905, 747 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 362, 905, 747 is 1.

HCF(362, 905, 747) = 1

HCF of 362, 905, 747 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 362, 905, 747 is 1.

Highest Common Factor of 362,905,747 using Euclid's algorithm

Highest Common Factor of 362,905,747 is 1

Step 1: Since 905 > 362, we apply the division lemma to 905 and 362, to get

905 = 362 x 2 + 181

Step 2: Since the reminder 362 ≠ 0, we apply division lemma to 181 and 362, to get

362 = 181 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 181, the HCF of 362 and 905 is 181

Notice that 181 = HCF(362,181) = HCF(905,362) .

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

Step 1: Since 747 > 181, we apply the division lemma to 747 and 181, to get

747 = 181 x 4 + 23

Step 2: Since the reminder 181 ≠ 0, we apply division lemma to 23 and 181, to get

181 = 23 x 7 + 20

Step 3: We consider the new divisor 23 and the new remainder 20, and apply the division lemma to get

23 = 20 x 1 + 3

We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get

20 = 3 x 6 + 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 181 and 747 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(23,20) = HCF(181,23) = HCF(747,181) .

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Frequently Asked Questions on HCF of 362, 905, 747 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 362, 905, 747?

Answer: HCF of 362, 905, 747 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 362, 905, 747 using Euclid's Algorithm?

Answer: For arbitrary numbers 362, 905, 747 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.