Highest Common Factor of 4834, 8797, 96821 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 4834, 8797, 96821 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4834, 8797, 96821 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 4834, 8797, 96821 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 4834, 8797, 96821 is 1.

HCF(4834, 8797, 96821) = 1

HCF of 4834, 8797, 96821 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 4834, 8797, 96821 is 1.

Highest Common Factor of 4834,8797,96821 using Euclid's algorithm

Highest Common Factor of 4834,8797,96821 is 1

Step 1: Since 8797 > 4834, we apply the division lemma to 8797 and 4834, to get

8797 = 4834 x 1 + 3963

Step 2: Since the reminder 4834 ≠ 0, we apply division lemma to 3963 and 4834, to get

4834 = 3963 x 1 + 871

Step 3: We consider the new divisor 3963 and the new remainder 871, and apply the division lemma to get

3963 = 871 x 4 + 479

We consider the new divisor 871 and the new remainder 479,and apply the division lemma to get

871 = 479 x 1 + 392

We consider the new divisor 479 and the new remainder 392,and apply the division lemma to get

479 = 392 x 1 + 87

We consider the new divisor 392 and the new remainder 87,and apply the division lemma to get

392 = 87 x 4 + 44

We consider the new divisor 87 and the new remainder 44,and apply the division lemma to get

87 = 44 x 1 + 43

We consider the new divisor 44 and the new remainder 43,and apply the division lemma to get

44 = 43 x 1 + 1

We consider the new divisor 43 and the new remainder 1,and apply the division lemma to get

43 = 1 x 43 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4834 and 8797 is 1

Notice that 1 = HCF(43,1) = HCF(44,43) = HCF(87,44) = HCF(392,87) = HCF(479,392) = HCF(871,479) = HCF(3963,871) = HCF(4834,3963) = HCF(8797,4834) .

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

Step 1: Since 96821 > 1, we apply the division lemma to 96821 and 1, to get

96821 = 1 x 96821 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96821 is 1

Notice that 1 = HCF(96821,1) .

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Frequently Asked Questions on HCF of 4834, 8797, 96821 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 4834, 8797, 96821?

Answer: HCF of 4834, 8797, 96821 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4834, 8797, 96821 using Euclid's Algorithm?

Answer: For arbitrary numbers 4834, 8797, 96821 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.