Highest Common Factor of 8807, 1018, 96938 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 8807, 1018, 96938 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8807, 1018, 96938 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 8807, 1018, 96938 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 8807, 1018, 96938 is 1.

HCF(8807, 1018, 96938) = 1

HCF of 8807, 1018, 96938 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 8807, 1018, 96938 is 1.

Highest Common Factor of 8807,1018,96938 using Euclid's algorithm

Highest Common Factor of 8807,1018,96938 is 1

Step 1: Since 8807 > 1018, we apply the division lemma to 8807 and 1018, to get

8807 = 1018 x 8 + 663

Step 2: Since the reminder 1018 ≠ 0, we apply division lemma to 663 and 1018, to get

1018 = 663 x 1 + 355

Step 3: We consider the new divisor 663 and the new remainder 355, and apply the division lemma to get

663 = 355 x 1 + 308

We consider the new divisor 355 and the new remainder 308,and apply the division lemma to get

355 = 308 x 1 + 47

We consider the new divisor 308 and the new remainder 47,and apply the division lemma to get

308 = 47 x 6 + 26

We consider the new divisor 47 and the new remainder 26,and apply the division lemma to get

47 = 26 x 1 + 21

We consider the new divisor 26 and the new remainder 21,and apply the division lemma to get

26 = 21 x 1 + 5

We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get

21 = 5 x 4 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8807 and 1018 is 1

Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(26,21) = HCF(47,26) = HCF(308,47) = HCF(355,308) = HCF(663,355) = HCF(1018,663) = HCF(8807,1018) .

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

Step 1: Since 96938 > 1, we apply the division lemma to 96938 and 1, to get

96938 = 1 x 96938 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96938 is 1

Notice that 1 = HCF(96938,1) .

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Frequently Asked Questions on HCF of 8807, 1018, 96938 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 8807, 1018, 96938?

Answer: HCF of 8807, 1018, 96938 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8807, 1018, 96938 using Euclid's Algorithm?

Answer: For arbitrary numbers 8807, 1018, 96938 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.