Highest Common Factor of 3246, 8303, 70588 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 3246, 8303, 70588 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3246, 8303, 70588 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 3246, 8303, 70588 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 3246, 8303, 70588 is 1.

HCF(3246, 8303, 70588) = 1

HCF of 3246, 8303, 70588 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 3246, 8303, 70588 is 1.

Highest Common Factor of 3246,8303,70588 using Euclid's algorithm

Highest Common Factor of 3246,8303,70588 is 1

Step 1: Since 8303 > 3246, we apply the division lemma to 8303 and 3246, to get

8303 = 3246 x 2 + 1811

Step 2: Since the reminder 3246 ≠ 0, we apply division lemma to 1811 and 3246, to get

3246 = 1811 x 1 + 1435

Step 3: We consider the new divisor 1811 and the new remainder 1435, and apply the division lemma to get

1811 = 1435 x 1 + 376

We consider the new divisor 1435 and the new remainder 376,and apply the division lemma to get

1435 = 376 x 3 + 307

We consider the new divisor 376 and the new remainder 307,and apply the division lemma to get

376 = 307 x 1 + 69

We consider the new divisor 307 and the new remainder 69,and apply the division lemma to get

307 = 69 x 4 + 31

We consider the new divisor 69 and the new remainder 31,and apply the division lemma to get

69 = 31 x 2 + 7

We consider the new divisor 31 and the new remainder 7,and apply the division lemma to get

31 = 7 x 4 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 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 3246 and 8303 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(31,7) = HCF(69,31) = HCF(307,69) = HCF(376,307) = HCF(1435,376) = HCF(1811,1435) = HCF(3246,1811) = HCF(8303,3246) .

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

Step 1: Since 70588 > 1, we apply the division lemma to 70588 and 1, to get

70588 = 1 x 70588 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70588 is 1

Notice that 1 = HCF(70588,1) .

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Frequently Asked Questions on HCF of 3246, 8303, 70588 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 3246, 8303, 70588?

Answer: HCF of 3246, 8303, 70588 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3246, 8303, 70588 using Euclid's Algorithm?

Answer: For arbitrary numbers 3246, 8303, 70588 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.