Highest Common Factor of 459, 752, 368 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 459, 752, 368 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 459, 752, 368 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 459, 752, 368 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 459, 752, 368 is 1.

HCF(459, 752, 368) = 1

HCF of 459, 752, 368 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 459, 752, 368 is 1.

Highest Common Factor of 459,752,368 using Euclid's algorithm

Highest Common Factor of 459,752,368 is 1

Step 1: Since 752 > 459, we apply the division lemma to 752 and 459, to get

752 = 459 x 1 + 293

Step 2: Since the reminder 459 ≠ 0, we apply division lemma to 293 and 459, to get

459 = 293 x 1 + 166

Step 3: We consider the new divisor 293 and the new remainder 166, and apply the division lemma to get

293 = 166 x 1 + 127

We consider the new divisor 166 and the new remainder 127,and apply the division lemma to get

166 = 127 x 1 + 39

We consider the new divisor 127 and the new remainder 39,and apply the division lemma to get

127 = 39 x 3 + 10

We consider the new divisor 39 and the new remainder 10,and apply the division lemma to get

39 = 10 x 3 + 9

We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get

10 = 9 x 1 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 459 and 752 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(39,10) = HCF(127,39) = HCF(166,127) = HCF(293,166) = HCF(459,293) = HCF(752,459) .

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

Step 1: Since 368 > 1, we apply the division lemma to 368 and 1, to get

368 = 1 x 368 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 368 is 1

Notice that 1 = HCF(368,1) .

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Frequently Asked Questions on HCF of 459, 752, 368 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 459, 752, 368?

Answer: HCF of 459, 752, 368 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 459, 752, 368 using Euclid's Algorithm?

Answer: For arbitrary numbers 459, 752, 368 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.