Highest Common Factor of 592, 954, 371, 30 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 592, 954, 371, 30 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 592, 954, 371, 30 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 592, 954, 371, 30 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 592, 954, 371, 30 is 1.

HCF(592, 954, 371, 30) = 1

HCF of 592, 954, 371, 30 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 592, 954, 371, 30 is 1.

Highest Common Factor of 592,954,371,30 using Euclid's algorithm

Highest Common Factor of 592,954,371,30 is 1

Step 1: Since 954 > 592, we apply the division lemma to 954 and 592, to get

954 = 592 x 1 + 362

Step 2: Since the reminder 592 ≠ 0, we apply division lemma to 362 and 592, to get

592 = 362 x 1 + 230

Step 3: We consider the new divisor 362 and the new remainder 230, and apply the division lemma to get

362 = 230 x 1 + 132

We consider the new divisor 230 and the new remainder 132,and apply the division lemma to get

230 = 132 x 1 + 98

We consider the new divisor 132 and the new remainder 98,and apply the division lemma to get

132 = 98 x 1 + 34

We consider the new divisor 98 and the new remainder 34,and apply the division lemma to get

98 = 34 x 2 + 30

We consider the new divisor 34 and the new remainder 30,and apply the division lemma to get

34 = 30 x 1 + 4

We consider the new divisor 30 and the new remainder 4,and apply the division lemma to get

30 = 4 x 7 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 592 and 954 is 2

Notice that 2 = HCF(4,2) = HCF(30,4) = HCF(34,30) = HCF(98,34) = HCF(132,98) = HCF(230,132) = HCF(362,230) = HCF(592,362) = HCF(954,592) .

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

Step 1: Since 371 > 2, we apply the division lemma to 371 and 2, to get

371 = 2 x 185 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 371 is 1

Notice that 1 = HCF(2,1) = HCF(371,2) .

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

Step 1: Since 30 > 1, we apply the division lemma to 30 and 1, 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 1 and 30 is 1

Notice that 1 = HCF(30,1) .

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Frequently Asked Questions on HCF of 592, 954, 371, 30 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 592, 954, 371, 30?

Answer: HCF of 592, 954, 371, 30 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 592, 954, 371, 30 using Euclid's Algorithm?

Answer: For arbitrary numbers 592, 954, 371, 30 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.