Highest Common Factor of 709, 6196, 3638 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 709, 6196, 3638 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 709, 6196, 3638 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 709, 6196, 3638 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 709, 6196, 3638 is 1.

HCF(709, 6196, 3638) = 1

HCF of 709, 6196, 3638 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 709, 6196, 3638 is 1.

Highest Common Factor of 709,6196,3638 using Euclid's algorithm

Highest Common Factor of 709,6196,3638 is 1

Step 1: Since 6196 > 709, we apply the division lemma to 6196 and 709, to get

6196 = 709 x 8 + 524

Step 2: Since the reminder 709 ≠ 0, we apply division lemma to 524 and 709, to get

709 = 524 x 1 + 185

Step 3: We consider the new divisor 524 and the new remainder 185, and apply the division lemma to get

524 = 185 x 2 + 154

We consider the new divisor 185 and the new remainder 154,and apply the division lemma to get

185 = 154 x 1 + 31

We consider the new divisor 154 and the new remainder 31,and apply the division lemma to get

154 = 31 x 4 + 30

We consider the new divisor 31 and the new remainder 30,and apply the division lemma to get

31 = 30 x 1 + 1

We consider the new divisor 30 and the new remainder 1,and apply the division lemma to get

30 = 1 x 30 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 709 and 6196 is 1

Notice that 1 = HCF(30,1) = HCF(31,30) = HCF(154,31) = HCF(185,154) = HCF(524,185) = HCF(709,524) = HCF(6196,709) .

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

Step 1: Since 3638 > 1, we apply the division lemma to 3638 and 1, to get

3638 = 1 x 3638 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3638 is 1

Notice that 1 = HCF(3638,1) .

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Frequently Asked Questions on HCF of 709, 6196, 3638 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 709, 6196, 3638?

Answer: HCF of 709, 6196, 3638 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 709, 6196, 3638 using Euclid's Algorithm?

Answer: For arbitrary numbers 709, 6196, 3638 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.