Highest Common Factor of 567, 123, 995 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 567, 123, 995 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 567, 123, 995 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 567, 123, 995 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 567, 123, 995 is 1.

HCF(567, 123, 995) = 1

HCF of 567, 123, 995 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 567, 123, 995 is 1.

Highest Common Factor of 567,123,995 using Euclid's algorithm

Highest Common Factor of 567,123,995 is 1

Step 1: Since 567 > 123, we apply the division lemma to 567 and 123, to get

567 = 123 x 4 + 75

Step 2: Since the reminder 123 ≠ 0, we apply division lemma to 75 and 123, to get

123 = 75 x 1 + 48

Step 3: We consider the new divisor 75 and the new remainder 48, and apply the division lemma to get

75 = 48 x 1 + 27

We consider the new divisor 48 and the new remainder 27,and apply the division lemma to get

48 = 27 x 1 + 21

We consider the new divisor 27 and the new remainder 21,and apply the division lemma to get

27 = 21 x 1 + 6

We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get

21 = 6 x 3 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 567 and 123 is 3

Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(27,21) = HCF(48,27) = HCF(75,48) = HCF(123,75) = HCF(567,123) .

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

Step 1: Since 995 > 3, we apply the division lemma to 995 and 3, to get

995 = 3 x 331 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 995 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(995,3) .

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Frequently Asked Questions on HCF of 567, 123, 995 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 567, 123, 995?

Answer: HCF of 567, 123, 995 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 567, 123, 995 using Euclid's Algorithm?

Answer: For arbitrary numbers 567, 123, 995 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.