Highest Common Factor of 737, 459, 817, 604 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, 459, 817, 604 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 737, 459, 817, 604 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, 459, 817, 604 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, 459, 817, 604 is 1.

HCF(737, 459, 817, 604) = 1

HCF of 737, 459, 817, 604 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, 459, 817, 604 is 1.

Highest Common Factor of 737,459,817,604 using Euclid's algorithm

Highest Common Factor of 737,459,817,604 is 1

Step 1: Since 737 > 459, we apply the division lemma to 737 and 459, to get

737 = 459 x 1 + 278

Step 2: Since the reminder 459 ≠ 0, we apply division lemma to 278 and 459, to get

459 = 278 x 1 + 181

Step 3: We consider the new divisor 278 and the new remainder 181, and apply the division lemma to get

278 = 181 x 1 + 97

We consider the new divisor 181 and the new remainder 97,and apply the division lemma to get

181 = 97 x 1 + 84

We consider the new divisor 97 and the new remainder 84,and apply the division lemma to get

97 = 84 x 1 + 13

We consider the new divisor 84 and the new remainder 13,and apply the division lemma to get

84 = 13 x 6 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 737 and 459 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(84,13) = HCF(97,84) = HCF(181,97) = HCF(278,181) = HCF(459,278) = HCF(737,459) .

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

Step 1: Since 817 > 1, we apply the division lemma to 817 and 1, to get

817 = 1 x 817 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 817 is 1

Notice that 1 = HCF(817,1) .

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

Step 1: Since 604 > 1, we apply the division lemma to 604 and 1, to get

604 = 1 x 604 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 604 is 1

Notice that 1 = HCF(604,1) .

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Frequently Asked Questions on HCF of 737, 459, 817, 604 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, 459, 817, 604?

Answer: HCF of 737, 459, 817, 604 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 737, 459, 817, 604 using Euclid's Algorithm?

Answer: For arbitrary numbers 737, 459, 817, 604 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.