Highest Common Factor of 720, 472, 603 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 720, 472, 603 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 720, 472, 603 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 720, 472, 603 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 720, 472, 603 is 1.

HCF(720, 472, 603) = 1

HCF of 720, 472, 603 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 720, 472, 603 is 1.

Highest Common Factor of 720,472,603 using Euclid's algorithm

Highest Common Factor of 720,472,603 is 1

Step 1: Since 720 > 472, we apply the division lemma to 720 and 472, to get

720 = 472 x 1 + 248

Step 2: Since the reminder 472 ≠ 0, we apply division lemma to 248 and 472, to get

472 = 248 x 1 + 224

Step 3: We consider the new divisor 248 and the new remainder 224, and apply the division lemma to get

248 = 224 x 1 + 24

We consider the new divisor 224 and the new remainder 24,and apply the division lemma to get

224 = 24 x 9 + 8

We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get

24 = 8 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 720 and 472 is 8

Notice that 8 = HCF(24,8) = HCF(224,24) = HCF(248,224) = HCF(472,248) = HCF(720,472) .

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

Step 1: Since 603 > 8, we apply the division lemma to 603 and 8, to get

603 = 8 x 75 + 3

Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 3 and 8, to get

8 = 3 x 2 + 2

Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8 and 603 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(603,8) .

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Frequently Asked Questions on HCF of 720, 472, 603 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 720, 472, 603?

Answer: HCF of 720, 472, 603 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 720, 472, 603 using Euclid's Algorithm?

Answer: For arbitrary numbers 720, 472, 603 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.