Highest Common Factor of 1777, 6083, 89682 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 1777, 6083, 89682 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1777, 6083, 89682 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 1777, 6083, 89682 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 1777, 6083, 89682 is 1.

HCF(1777, 6083, 89682) = 1

HCF of 1777, 6083, 89682 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 1777, 6083, 89682 is 1.

Highest Common Factor of 1777,6083,89682 using Euclid's algorithm

Highest Common Factor of 1777,6083,89682 is 1

Step 1: Since 6083 > 1777, we apply the division lemma to 6083 and 1777, to get

6083 = 1777 x 3 + 752

Step 2: Since the reminder 1777 ≠ 0, we apply division lemma to 752 and 1777, to get

1777 = 752 x 2 + 273

Step 3: We consider the new divisor 752 and the new remainder 273, and apply the division lemma to get

752 = 273 x 2 + 206

We consider the new divisor 273 and the new remainder 206,and apply the division lemma to get

273 = 206 x 1 + 67

We consider the new divisor 206 and the new remainder 67,and apply the division lemma to get

206 = 67 x 3 + 5

We consider the new divisor 67 and the new remainder 5,and apply the division lemma to get

67 = 5 x 13 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1777 and 6083 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(67,5) = HCF(206,67) = HCF(273,206) = HCF(752,273) = HCF(1777,752) = HCF(6083,1777) .

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

Step 1: Since 89682 > 1, we apply the division lemma to 89682 and 1, to get

89682 = 1 x 89682 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 89682 is 1

Notice that 1 = HCF(89682,1) .

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Frequently Asked Questions on HCF of 1777, 6083, 89682 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 1777, 6083, 89682?

Answer: HCF of 1777, 6083, 89682 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1777, 6083, 89682 using Euclid's Algorithm?

Answer: For arbitrary numbers 1777, 6083, 89682 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.