Highest Common Factor of 238, 563, 804 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 238, 563, 804 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 238, 563, 804 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 238, 563, 804 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 238, 563, 804 is 1.

HCF(238, 563, 804) = 1

HCF of 238, 563, 804 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 238, 563, 804 is 1.

Highest Common Factor of 238,563,804 using Euclid's algorithm

Highest Common Factor of 238,563,804 is 1

Step 1: Since 563 > 238, we apply the division lemma to 563 and 238, to get

563 = 238 x 2 + 87

Step 2: Since the reminder 238 ≠ 0, we apply division lemma to 87 and 238, to get

238 = 87 x 2 + 64

Step 3: We consider the new divisor 87 and the new remainder 64, and apply the division lemma to get

87 = 64 x 1 + 23

We consider the new divisor 64 and the new remainder 23,and apply the division lemma to get

64 = 23 x 2 + 18

We consider the new divisor 23 and the new remainder 18,and apply the division lemma to get

23 = 18 x 1 + 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 238 and 563 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(23,18) = HCF(64,23) = HCF(87,64) = HCF(238,87) = HCF(563,238) .

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

Step 1: Since 804 > 1, we apply the division lemma to 804 and 1, to get

804 = 1 x 804 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 804 is 1

Notice that 1 = HCF(804,1) .

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Frequently Asked Questions on HCF of 238, 563, 804 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 238, 563, 804?

Answer: HCF of 238, 563, 804 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 238, 563, 804 using Euclid's Algorithm?

Answer: For arbitrary numbers 238, 563, 804 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.