Highest Common Factor of 6536, 3763, 43787 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 6536, 3763, 43787 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6536, 3763, 43787 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 6536, 3763, 43787 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 6536, 3763, 43787 is 1.

HCF(6536, 3763, 43787) = 1

HCF of 6536, 3763, 43787 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 6536, 3763, 43787 is 1.

Highest Common Factor of 6536,3763,43787 using Euclid's algorithm

Highest Common Factor of 6536,3763,43787 is 1

Step 1: Since 6536 > 3763, we apply the division lemma to 6536 and 3763, to get

6536 = 3763 x 1 + 2773

Step 2: Since the reminder 3763 ≠ 0, we apply division lemma to 2773 and 3763, to get

3763 = 2773 x 1 + 990

Step 3: We consider the new divisor 2773 and the new remainder 990, and apply the division lemma to get

2773 = 990 x 2 + 793

We consider the new divisor 990 and the new remainder 793,and apply the division lemma to get

990 = 793 x 1 + 197

We consider the new divisor 793 and the new remainder 197,and apply the division lemma to get

793 = 197 x 4 + 5

We consider the new divisor 197 and the new remainder 5,and apply the division lemma to get

197 = 5 x 39 + 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 6536 and 3763 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(197,5) = HCF(793,197) = HCF(990,793) = HCF(2773,990) = HCF(3763,2773) = HCF(6536,3763) .

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

Step 1: Since 43787 > 1, we apply the division lemma to 43787 and 1, to get

43787 = 1 x 43787 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 43787 is 1

Notice that 1 = HCF(43787,1) .

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Frequently Asked Questions on HCF of 6536, 3763, 43787 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 6536, 3763, 43787?

Answer: HCF of 6536, 3763, 43787 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6536, 3763, 43787 using Euclid's Algorithm?

Answer: For arbitrary numbers 6536, 3763, 43787 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.