Highest Common Factor of 369, 866, 394 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 369, 866, 394 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 369, 866, 394 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 369, 866, 394 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 369, 866, 394 is 1.

HCF(369, 866, 394) = 1

HCF of 369, 866, 394 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 369, 866, 394 is 1.

Highest Common Factor of 369,866,394 using Euclid's algorithm

Highest Common Factor of 369,866,394 is 1

Step 1: Since 866 > 369, we apply the division lemma to 866 and 369, to get

866 = 369 x 2 + 128

Step 2: Since the reminder 369 ≠ 0, we apply division lemma to 128 and 369, to get

369 = 128 x 2 + 113

Step 3: We consider the new divisor 128 and the new remainder 113, and apply the division lemma to get

128 = 113 x 1 + 15

We consider the new divisor 113 and the new remainder 15,and apply the division lemma to get

113 = 15 x 7 + 8

We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get

15 = 8 x 1 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 369 and 866 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(113,15) = HCF(128,113) = HCF(369,128) = HCF(866,369) .

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

Step 1: Since 394 > 1, we apply the division lemma to 394 and 1, to get

394 = 1 x 394 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 394 is 1

Notice that 1 = HCF(394,1) .

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Frequently Asked Questions on HCF of 369, 866, 394 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 369, 866, 394?

Answer: HCF of 369, 866, 394 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 369, 866, 394 using Euclid's Algorithm?

Answer: For arbitrary numbers 369, 866, 394 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.