Highest Common Factor of 3508, 6003 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 3508, 6003 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3508, 6003 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 3508, 6003 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 3508, 6003 is 1.

HCF(3508, 6003) = 1

HCF of 3508, 6003 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 3508, 6003 is 1.

Highest Common Factor of 3508,6003 using Euclid's algorithm

Highest Common Factor of 3508,6003 is 1

Step 1: Since 6003 > 3508, we apply the division lemma to 6003 and 3508, to get

6003 = 3508 x 1 + 2495

Step 2: Since the reminder 3508 ≠ 0, we apply division lemma to 2495 and 3508, to get

3508 = 2495 x 1 + 1013

Step 3: We consider the new divisor 2495 and the new remainder 1013, and apply the division lemma to get

2495 = 1013 x 2 + 469

We consider the new divisor 1013 and the new remainder 469,and apply the division lemma to get

1013 = 469 x 2 + 75

We consider the new divisor 469 and the new remainder 75,and apply the division lemma to get

469 = 75 x 6 + 19

We consider the new divisor 75 and the new remainder 19,and apply the division lemma to get

75 = 19 x 3 + 18

We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get

19 = 18 x 1 + 1

We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get

18 = 1 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3508 and 6003 is 1

Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(75,19) = HCF(469,75) = HCF(1013,469) = HCF(2495,1013) = HCF(3508,2495) = HCF(6003,3508) .

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Frequently Asked Questions on HCF of 3508, 6003 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 3508, 6003?

Answer: HCF of 3508, 6003 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3508, 6003 using Euclid's Algorithm?

Answer: For arbitrary numbers 3508, 6003 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.