Highest Common Factor of 603, 999, 350, 93 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 603, 999, 350, 93 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 603, 999, 350, 93 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 603, 999, 350, 93 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 603, 999, 350, 93 is 1.

HCF(603, 999, 350, 93) = 1

HCF of 603, 999, 350, 93 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 603, 999, 350, 93 is 1.

Highest Common Factor of 603,999,350,93 using Euclid's algorithm

Highest Common Factor of 603,999,350,93 is 1

Step 1: Since 999 > 603, we apply the division lemma to 999 and 603, to get

999 = 603 x 1 + 396

Step 2: Since the reminder 603 ≠ 0, we apply division lemma to 396 and 603, to get

603 = 396 x 1 + 207

Step 3: We consider the new divisor 396 and the new remainder 207, and apply the division lemma to get

396 = 207 x 1 + 189

We consider the new divisor 207 and the new remainder 189,and apply the division lemma to get

207 = 189 x 1 + 18

We consider the new divisor 189 and the new remainder 18,and apply the division lemma to get

189 = 18 x 10 + 9

We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get

18 = 9 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 603 and 999 is 9

Notice that 9 = HCF(18,9) = HCF(189,18) = HCF(207,189) = HCF(396,207) = HCF(603,396) = HCF(999,603) .

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

Step 1: Since 350 > 9, we apply the division lemma to 350 and 9, to get

350 = 9 x 38 + 8

Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 8 and 9, to get

9 = 8 x 1 + 1

Step 3: We consider the new divisor 8 and the new remainder 1, and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9 and 350 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(350,9) .

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

Step 1: Since 93 > 1, we apply the division lemma to 93 and 1, to get

93 = 1 x 93 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 93 is 1

Notice that 1 = HCF(93,1) .

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Frequently Asked Questions on HCF of 603, 999, 350, 93 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 603, 999, 350, 93?

Answer: HCF of 603, 999, 350, 93 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 603, 999, 350, 93 using Euclid's Algorithm?

Answer: For arbitrary numbers 603, 999, 350, 93 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.