Highest Common Factor of 592, 362, 927 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, 362, 927 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 592, 362, 927 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, 362, 927 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, 362, 927 is 1.

HCF(592, 362, 927) = 1

HCF of 592, 362, 927 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, 362, 927 is 1.

Highest Common Factor of 592,362,927 using Euclid's algorithm

Highest Common Factor of 592,362,927 is 1

Step 1: Since 592 > 362, we apply the division lemma to 592 and 362, to get

592 = 362 x 1 + 230

Step 2: Since the reminder 362 ≠ 0, we apply division lemma to 230 and 362, to get

362 = 230 x 1 + 132

Step 3: 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 362 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) .

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

Step 1: Since 927 > 2, we apply the division lemma to 927 and 2, to get

927 = 2 x 463 + 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 927 is 1

Notice that 1 = HCF(2,1) = HCF(927,2) .

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Frequently Asked Questions on HCF of 592, 362, 927 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, 362, 927?

Answer: HCF of 592, 362, 927 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 592, 362, 927 using Euclid's Algorithm?

Answer: For arbitrary numbers 592, 362, 927 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.