Highest Common Factor of 602, 270, 533 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 602, 270, 533 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 602, 270, 533 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 602, 270, 533 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 602, 270, 533 is 1.

HCF(602, 270, 533) = 1

HCF of 602, 270, 533 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 602, 270, 533 is 1.

Highest Common Factor of 602,270,533 using Euclid's algorithm

Highest Common Factor of 602,270,533 is 1

Step 1: Since 602 > 270, we apply the division lemma to 602 and 270, to get

602 = 270 x 2 + 62

Step 2: Since the reminder 270 ≠ 0, we apply division lemma to 62 and 270, to get

270 = 62 x 4 + 22

Step 3: We consider the new divisor 62 and the new remainder 22, and apply the division lemma to get

62 = 22 x 2 + 18

We consider the new divisor 22 and the new remainder 18,and apply the division lemma to get

22 = 18 x 1 + 4

We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get

18 = 4 x 4 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 602 and 270 is 2

Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(22,18) = HCF(62,22) = HCF(270,62) = HCF(602,270) .


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

Step 1: Since 533 > 2, we apply the division lemma to 533 and 2, to get

533 = 2 x 266 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 533 is 1

Notice that 1 = HCF(2,1) = HCF(533,2) .

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Frequently Asked Questions on HCF of 602, 270, 533 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 602, 270, 533?

Answer: HCF of 602, 270, 533 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 602, 270, 533 using Euclid's Algorithm?

Answer: For arbitrary numbers 602, 270, 533 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.