Highest Common Factor of 377, 595, 442, 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 377, 595, 442, 27 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 377, 595, 442, 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 377, 595, 442, 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 377, 595, 442, 27 is 1.

HCF(377, 595, 442, 27) = 1

HCF of 377, 595, 442, 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 377, 595, 442, 27 is 1.

Highest Common Factor of 377,595,442,27 using Euclid's algorithm

Highest Common Factor of 377,595,442,27 is 1

Step 1: Since 595 > 377, we apply the division lemma to 595 and 377, to get

595 = 377 x 1 + 218

Step 2: Since the reminder 377 ≠ 0, we apply division lemma to 218 and 377, to get

377 = 218 x 1 + 159

Step 3: We consider the new divisor 218 and the new remainder 159, and apply the division lemma to get

218 = 159 x 1 + 59

We consider the new divisor 159 and the new remainder 59,and apply the division lemma to get

159 = 59 x 2 + 41

We consider the new divisor 59 and the new remainder 41,and apply the division lemma to get

59 = 41 x 1 + 18

We consider the new divisor 41 and the new remainder 18,and apply the division lemma to get

41 = 18 x 2 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 377 and 595 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(41,18) = HCF(59,41) = HCF(159,59) = HCF(218,159) = HCF(377,218) = HCF(595,377) .

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

Step 1: Since 442 > 1, we apply the division lemma to 442 and 1, to get

442 = 1 x 442 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 442 is 1

Notice that 1 = HCF(442,1) .

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 377, 595, 442, 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 377, 595, 442, 27?

Answer: HCF of 377, 595, 442, 27 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 377, 595, 442, 27 using Euclid's Algorithm?

Answer: For arbitrary numbers 377, 595, 442, 27 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.