Highest Common Factor of 8269, 6150, 27775 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 8269, 6150, 27775 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8269, 6150, 27775 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 8269, 6150, 27775 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 8269, 6150, 27775 is 1.

HCF(8269, 6150, 27775) = 1

HCF of 8269, 6150, 27775 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 8269, 6150, 27775 is 1.

Highest Common Factor of 8269,6150,27775 using Euclid's algorithm

Highest Common Factor of 8269,6150,27775 is 1

Step 1: Since 8269 > 6150, we apply the division lemma to 8269 and 6150, to get

8269 = 6150 x 1 + 2119

Step 2: Since the reminder 6150 ≠ 0, we apply division lemma to 2119 and 6150, to get

6150 = 2119 x 2 + 1912

Step 3: We consider the new divisor 2119 and the new remainder 1912, and apply the division lemma to get

2119 = 1912 x 1 + 207

We consider the new divisor 1912 and the new remainder 207,and apply the division lemma to get

1912 = 207 x 9 + 49

We consider the new divisor 207 and the new remainder 49,and apply the division lemma to get

207 = 49 x 4 + 11

We consider the new divisor 49 and the new remainder 11,and apply the division lemma to get

49 = 11 x 4 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8269 and 6150 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(49,11) = HCF(207,49) = HCF(1912,207) = HCF(2119,1912) = HCF(6150,2119) = HCF(8269,6150) .

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

Step 1: Since 27775 > 1, we apply the division lemma to 27775 and 1, to get

27775 = 1 x 27775 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 27775 is 1

Notice that 1 = HCF(27775,1) .

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Frequently Asked Questions on HCF of 8269, 6150, 27775 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 8269, 6150, 27775?

Answer: HCF of 8269, 6150, 27775 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8269, 6150, 27775 using Euclid's Algorithm?

Answer: For arbitrary numbers 8269, 6150, 27775 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.