Highest Common Factor of 906, 737, 459, 461 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 906, 737, 459, 461 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 906, 737, 459, 461 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 906, 737, 459, 461 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 906, 737, 459, 461 is 1.

HCF(906, 737, 459, 461) = 1

HCF of 906, 737, 459, 461 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 906, 737, 459, 461 is 1.

Highest Common Factor of 906,737,459,461 using Euclid's algorithm

Highest Common Factor of 906,737,459,461 is 1

Step 1: Since 906 > 737, we apply the division lemma to 906 and 737, to get

906 = 737 x 1 + 169

Step 2: Since the reminder 737 ≠ 0, we apply division lemma to 169 and 737, to get

737 = 169 x 4 + 61

Step 3: We consider the new divisor 169 and the new remainder 61, and apply the division lemma to get

169 = 61 x 2 + 47

We consider the new divisor 61 and the new remainder 47,and apply the division lemma to get

61 = 47 x 1 + 14

We consider the new divisor 47 and the new remainder 14,and apply the division lemma to get

47 = 14 x 3 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 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 906 and 737 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(47,14) = HCF(61,47) = HCF(169,61) = HCF(737,169) = HCF(906,737) .

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

Step 1: Since 459 > 1, we apply the division lemma to 459 and 1, to get

459 = 1 x 459 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 459 is 1

Notice that 1 = HCF(459,1) .

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

Step 1: Since 461 > 1, we apply the division lemma to 461 and 1, to get

461 = 1 x 461 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 461 is 1

Notice that 1 = HCF(461,1) .

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Frequently Asked Questions on HCF of 906, 737, 459, 461 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 906, 737, 459, 461?

Answer: HCF of 906, 737, 459, 461 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 906, 737, 459, 461 using Euclid's Algorithm?

Answer: For arbitrary numbers 906, 737, 459, 461 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.