Highest Common Factor of 602, 4947, 5593 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, 4947, 5593 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 602, 4947, 5593 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, 4947, 5593 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, 4947, 5593 is 1.

HCF(602, 4947, 5593) = 1

HCF of 602, 4947, 5593 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, 4947, 5593 is 1.

Highest Common Factor of 602,4947,5593 using Euclid's algorithm

Highest Common Factor of 602,4947,5593 is 1

Step 1: Since 4947 > 602, we apply the division lemma to 4947 and 602, to get

4947 = 602 x 8 + 131

Step 2: Since the reminder 602 ≠ 0, we apply division lemma to 131 and 602, to get

602 = 131 x 4 + 78

Step 3: We consider the new divisor 131 and the new remainder 78, and apply the division lemma to get

131 = 78 x 1 + 53

We consider the new divisor 78 and the new remainder 53,and apply the division lemma to get

78 = 53 x 1 + 25

We consider the new divisor 53 and the new remainder 25,and apply the division lemma to get

53 = 25 x 2 + 3

We consider the new divisor 25 and the new remainder 3,and apply the division lemma to get

25 = 3 x 8 + 1

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

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 602 and 4947 is 1

Notice that 1 = HCF(3,1) = HCF(25,3) = HCF(53,25) = HCF(78,53) = HCF(131,78) = HCF(602,131) = HCF(4947,602) .

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

Step 1: Since 5593 > 1, we apply the division lemma to 5593 and 1, to get

5593 = 1 x 5593 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5593 is 1

Notice that 1 = HCF(5593,1) .

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Frequently Asked Questions on HCF of 602, 4947, 5593 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, 4947, 5593?

Answer: HCF of 602, 4947, 5593 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 602, 4947, 5593 using Euclid's Algorithm?

Answer: For arbitrary numbers 602, 4947, 5593 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.