Highest Common Factor of 367, 478, 786, 27 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 367, 478, 786, 27 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 367, 478, 786, 27 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 367, 478, 786, 27 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 367, 478, 786, 27 is 1.

HCF(367, 478, 786, 27) = 1

HCF of 367, 478, 786, 27 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 367, 478, 786, 27 is 1.

Highest Common Factor of 367,478,786,27 using Euclid's algorithm

Highest Common Factor of 367,478,786,27 is 1

Step 1: Since 478 > 367, we apply the division lemma to 478 and 367, to get

478 = 367 x 1 + 111

Step 2: Since the reminder 367 ≠ 0, we apply division lemma to 111 and 367, to get

367 = 111 x 3 + 34

Step 3: We consider the new divisor 111 and the new remainder 34, and apply the division lemma to get

111 = 34 x 3 + 9

We consider the new divisor 34 and the new remainder 9,and apply the division lemma to get

34 = 9 x 3 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 367 and 478 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(34,9) = HCF(111,34) = HCF(367,111) = HCF(478,367) .

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

Step 1: Since 786 > 1, we apply the division lemma to 786 and 1, to get

786 = 1 x 786 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 786 is 1

Notice that 1 = HCF(786,1) .

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

Step 1: Since 27 > 1, we apply the division lemma to 27 and 1, to get

27 = 1 x 27 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 27 is 1

Notice that 1 = HCF(27,1) .

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Frequently Asked Questions on HCF of 367, 478, 786, 27 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 367, 478, 786, 27?

Answer: HCF of 367, 478, 786, 27 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 367, 478, 786, 27 using Euclid's Algorithm?

Answer: For arbitrary numbers 367, 478, 786, 27 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.