Highest Common Factor of 923, 575, 868 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 923, 575, 868 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 923, 575, 868 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 923, 575, 868 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 923, 575, 868 is 1.

HCF(923, 575, 868) = 1

HCF of 923, 575, 868 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 923, 575, 868 is 1.

Highest Common Factor of 923,575,868 using Euclid's algorithm

Highest Common Factor of 923,575,868 is 1

Step 1: Since 923 > 575, we apply the division lemma to 923 and 575, to get

923 = 575 x 1 + 348

Step 2: Since the reminder 575 ≠ 0, we apply division lemma to 348 and 575, to get

575 = 348 x 1 + 227

Step 3: We consider the new divisor 348 and the new remainder 227, and apply the division lemma to get

348 = 227 x 1 + 121

We consider the new divisor 227 and the new remainder 121,and apply the division lemma to get

227 = 121 x 1 + 106

We consider the new divisor 121 and the new remainder 106,and apply the division lemma to get

121 = 106 x 1 + 15

We consider the new divisor 106 and the new remainder 15,and apply the division lemma to get

106 = 15 x 7 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 923 and 575 is 1

Notice that 1 = HCF(15,1) = HCF(106,15) = HCF(121,106) = HCF(227,121) = HCF(348,227) = HCF(575,348) = HCF(923,575) .

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

Step 1: Since 868 > 1, we apply the division lemma to 868 and 1, to get

868 = 1 x 868 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 868 is 1

Notice that 1 = HCF(868,1) .

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Frequently Asked Questions on HCF of 923, 575, 868 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 923, 575, 868?

Answer: HCF of 923, 575, 868 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 923, 575, 868 using Euclid's Algorithm?

Answer: For arbitrary numbers 923, 575, 868 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.