Highest Common Factor of 5703, 8618, 72107 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 5703, 8618, 72107 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5703, 8618, 72107 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 5703, 8618, 72107 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 5703, 8618, 72107 is 1.

HCF(5703, 8618, 72107) = 1

HCF of 5703, 8618, 72107 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 5703, 8618, 72107 is 1.

Highest Common Factor of 5703,8618,72107 using Euclid's algorithm

Highest Common Factor of 5703,8618,72107 is 1

Step 1: Since 8618 > 5703, we apply the division lemma to 8618 and 5703, to get

8618 = 5703 x 1 + 2915

Step 2: Since the reminder 5703 ≠ 0, we apply division lemma to 2915 and 5703, to get

5703 = 2915 x 1 + 2788

Step 3: We consider the new divisor 2915 and the new remainder 2788, and apply the division lemma to get

2915 = 2788 x 1 + 127

We consider the new divisor 2788 and the new remainder 127,and apply the division lemma to get

2788 = 127 x 21 + 121

We consider the new divisor 127 and the new remainder 121,and apply the division lemma to get

127 = 121 x 1 + 6

We consider the new divisor 121 and the new remainder 6,and apply the division lemma to get

121 = 6 x 20 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5703 and 8618 is 1

Notice that 1 = HCF(6,1) = HCF(121,6) = HCF(127,121) = HCF(2788,127) = HCF(2915,2788) = HCF(5703,2915) = HCF(8618,5703) .

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

Step 1: Since 72107 > 1, we apply the division lemma to 72107 and 1, to get

72107 = 1 x 72107 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72107 is 1

Notice that 1 = HCF(72107,1) .

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Frequently Asked Questions on HCF of 5703, 8618, 72107 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 5703, 8618, 72107?

Answer: HCF of 5703, 8618, 72107 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5703, 8618, 72107 using Euclid's Algorithm?

Answer: For arbitrary numbers 5703, 8618, 72107 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.