Highest Common Factor of 727, 422, 363, 532 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 727, 422, 363, 532 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 727, 422, 363, 532 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 727, 422, 363, 532 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 727, 422, 363, 532 is 1.

HCF(727, 422, 363, 532) = 1

HCF of 727, 422, 363, 532 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 727, 422, 363, 532 is 1.

Highest Common Factor of 727,422,363,532 using Euclid's algorithm

Highest Common Factor of 727,422,363,532 is 1

Step 1: Since 727 > 422, we apply the division lemma to 727 and 422, to get

727 = 422 x 1 + 305

Step 2: Since the reminder 422 ≠ 0, we apply division lemma to 305 and 422, to get

422 = 305 x 1 + 117

Step 3: We consider the new divisor 305 and the new remainder 117, and apply the division lemma to get

305 = 117 x 2 + 71

We consider the new divisor 117 and the new remainder 71,and apply the division lemma to get

117 = 71 x 1 + 46

We consider the new divisor 71 and the new remainder 46,and apply the division lemma to get

71 = 46 x 1 + 25

We consider the new divisor 46 and the new remainder 25,and apply the division lemma to get

46 = 25 x 1 + 21

We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get

25 = 21 x 1 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 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 727 and 422 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(46,25) = HCF(71,46) = HCF(117,71) = HCF(305,117) = HCF(422,305) = HCF(727,422) .

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

Step 1: Since 363 > 1, we apply the division lemma to 363 and 1, to get

363 = 1 x 363 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 363 is 1

Notice that 1 = HCF(363,1) .

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

Step 1: Since 532 > 1, we apply the division lemma to 532 and 1, to get

532 = 1 x 532 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 532 is 1

Notice that 1 = HCF(532,1) .

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Frequently Asked Questions on HCF of 727, 422, 363, 532 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 727, 422, 363, 532?

Answer: HCF of 727, 422, 363, 532 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 727, 422, 363, 532 using Euclid's Algorithm?

Answer: For arbitrary numbers 727, 422, 363, 532 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.