Highest Common Factor of 4483, 6984, 96810 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 4483, 6984, 96810 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4483, 6984, 96810 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 4483, 6984, 96810 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 4483, 6984, 96810 is 1.

HCF(4483, 6984, 96810) = 1

HCF of 4483, 6984, 96810 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 4483, 6984, 96810 is 1.

Highest Common Factor of 4483,6984,96810 using Euclid's algorithm

Highest Common Factor of 4483,6984,96810 is 1

Step 1: Since 6984 > 4483, we apply the division lemma to 6984 and 4483, to get

6984 = 4483 x 1 + 2501

Step 2: Since the reminder 4483 ≠ 0, we apply division lemma to 2501 and 4483, to get

4483 = 2501 x 1 + 1982

Step 3: We consider the new divisor 2501 and the new remainder 1982, and apply the division lemma to get

2501 = 1982 x 1 + 519

We consider the new divisor 1982 and the new remainder 519,and apply the division lemma to get

1982 = 519 x 3 + 425

We consider the new divisor 519 and the new remainder 425,and apply the division lemma to get

519 = 425 x 1 + 94

We consider the new divisor 425 and the new remainder 94,and apply the division lemma to get

425 = 94 x 4 + 49

We consider the new divisor 94 and the new remainder 49,and apply the division lemma to get

94 = 49 x 1 + 45

We consider the new divisor 49 and the new remainder 45,and apply the division lemma to get

49 = 45 x 1 + 4

We consider the new divisor 45 and the new remainder 4,and apply the division lemma to get

45 = 4 x 11 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4483 and 6984 is 1

Notice that 1 = HCF(4,1) = HCF(45,4) = HCF(49,45) = HCF(94,49) = HCF(425,94) = HCF(519,425) = HCF(1982,519) = HCF(2501,1982) = HCF(4483,2501) = HCF(6984,4483) .

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

Step 1: Since 96810 > 1, we apply the division lemma to 96810 and 1, to get

96810 = 1 x 96810 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96810 is 1

Notice that 1 = HCF(96810,1) .

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Frequently Asked Questions on HCF of 4483, 6984, 96810 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 4483, 6984, 96810?

Answer: HCF of 4483, 6984, 96810 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4483, 6984, 96810 using Euclid's Algorithm?

Answer: For arbitrary numbers 4483, 6984, 96810 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.